first commit

.gitignore

@@ -0,0 +1,359 @@
+# ---> C
+# Prerequisites
+*.d
+
+# Object files
+*.o
+*.ko
+*.obj
+*.elf
+
+# Linker output
+*.ilk
+*.map
+*.exp
+
+# Precompiled Headers
+*.gch
+*.pch
+
+# Libraries
+*.lib
+*.a
+*.la
+*.lo
+
+# Shared objects (inc. Windows DLLs)
+*.dll
+*.so
+*.so.*
+*.dylib
+
+# Executables
+*.exe
+*.out
+*.app
+*.i*86
+*.x86_64
+*.hex
+
+# Debug files
+*.dSYM/
+*.su
+*.idb
+*.pdb
+
+# Kernel Module Compile Results
+*.mod*
+*.cmd
+.tmp_versions/
+modules.order
+Module.symvers
+Mkfile.old
+dkms.conf
+
+# ---> TeX
+## Core latex/pdflatex auxiliary files:
+*.aux
+*.lof
+*.log
+*.lot
+*.fls
+*.out
+*.toc
+*.fmt
+*.fot
+*.cb
+*.cb2
+.*.lb
+
+## Intermediate documents:
+*.dvi
+*.xdv
+*-converted-to.*
+# these rules might exclude image files for figures etc.
+# *.ps
+# *.eps
+# *.pdf
+
+## Generated if empty string is given at "Please type another file name for output:"
+.pdf
+
+## Bibliography auxiliary files (bibtex/biblatex/biber):
+*.bbl
+*.bcf
+*.blg
+*-blx.aux
+*-blx.bib
+*.run.xml
+
+## Build tool auxiliary files:
+*.fdb_latexmk
+*.synctex
+*.synctex(busy)
+*.synctex.gz
+*.synctex.gz(busy)
+*.pdfsync
+
+## Build tool directories for auxiliary files
+# latexrun
+latex.out/
+
+## Auxiliary and intermediate files from other packages:
+# algorithms
+*.alg
+*.loa
+
+# achemso
+acs-*.bib
+
+# amsthm
+*.thm
+
+# beamer
+*.nav
+*.pre
+*.snm
+*.vrb
+
+# changes
+*.soc
+
+# comment
+*.cut
+
+# cprotect
+*.cpt
+
+# elsarticle (documentclass of Elsevier journals)
+*.spl
+
+# endnotes
+*.ent
+
+# fixme
+*.lox
+
+# feynmf/feynmp
+*.mf
+*.mp
+*.t[1-9]
+*.t[1-9][0-9]
+*.tfm
+
+#(r)(e)ledmac/(r)(e)ledpar
+*.end
+*.?end
+*.[1-9]
+*.[1-9][0-9]
+*.[1-9][0-9][0-9]
+*.[1-9]R
+*.[1-9][0-9]R
+*.[1-9][0-9][0-9]R
+*.eledsec[1-9]
+*.eledsec[1-9]R
+*.eledsec[1-9][0-9]
+*.eledsec[1-9][0-9]R
+*.eledsec[1-9][0-9][0-9]
+*.eledsec[1-9][0-9][0-9]R
+
+# glossaries
+*.acn
+*.acr
+*.glg
+*.glo
+*.gls
+*.glsdefs
+*.lzo
+*.lzs
+*.slg
+*.slo
+*.sls
+
+# uncomment this for glossaries-extra (will ignore makeindex's style files!)
+# *.ist
+
+# gnuplot
+*.gnuplot
+*.table
+
+# gnuplottex
+*-gnuplottex-*
+
+# gregoriotex
+*.gaux
+*.glog
+*.gtex
+
+# htlatex
+*.4ct
+*.4tc
+*.idv
+*.lg
+*.trc
+*.xref
+
+# hyperref
+*.brf
+
+# knitr
+*-concordance.tex
+# TODO Uncomment the next line if you use knitr and want to ignore its generated tikz files
+# *.tikz
+*-tikzDictionary
+
+# listings
+*.lol
+
+# luatexja-ruby
+*.ltjruby
+
+# makeidx
+*.idx
+*.ilg
+*.ind
+
+# minitoc
+*.maf
+*.mlf
+*.mlt
+*.mtc[0-9]*
+*.slf[0-9]*
+*.slt[0-9]*
+*.stc[0-9]*
+
+# minted
+_minted*
+*.pyg
+
+# morewrites
+*.mw
+
+# newpax
+*.newpax
+
+# nomencl
+*.nlg
+*.nlo
+*.nls
+
+# pax
+*.pax
+
+# pdfpcnotes
+*.pdfpc
+
+# sagetex
+*.sagetex.sage
+*.sagetex.py
+*.sagetex.scmd
+
+# scrwfile
+*.wrt
+
+# svg
+svg-inkscape/
+
+# sympy
+*.sout
+*.sympy
+sympy-plots-for-*.tex/
+
+# pdfcomment
+*.upa
+*.upb
+
+# pythontex
+*.pytxcode
+pythontex-files-*/
+
+# tcolorbox
+*.listing
+
+# thmtools
+*.loe
+
+# TikZ & PGF
+*.dpth
+*.md5
+*.auxlock
+
+# titletoc
+*.ptc
+
+# todonotes
+*.tdo
+
+# vhistory
+*.hst
+*.ver
+
+# easy-todo
+*.lod
+
+# xcolor
+*.xcp
+
+# xmpincl
+*.xmpi
+
+# xindy
+*.xdy
+
+# xypic precompiled matrices and outlines
+*.xyc
+*.xyd
+
+# endfloat
+*.ttt
+*.fff
+
+# Latexian
+TSWLatexianTemp*
+
+## Editors:
+# WinEdt
+*.bak
+*.sav
+
+# Texpad
+.texpadtmp
+
+# LyX
+*.lyx~
+
+# Kile
+*.backup
+
+# gummi
+.*.swp
+
+# KBibTeX
+*~[0-9]*
+
+# TeXnicCenter
+*.tps
+
+# auto folder when using emacs and auctex
+./auto/*
+*.el
+
+# expex forward references with \gathertags
+*-tags.tex
+
+# standalone packages
+*.sta
+
+# Makeindex log files
+*.lpz
+
+# xwatermark package
+*.xwm
+
+# REVTeX puts footnotes in the bibliography by default, unless the nofootinbib
+# option is specified. Footnotes are the stored in a file with suffix Notes.bib.
+# Uncomment the next line to have this generated file ignored.
+#*Notes.bib
+
+# vscode
+.vscode/

DFT.c

@@ -0,0 +1,189 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+
+#define LENGTH 8 /* 信号長 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex; /* 複素数 */
+
+/* プロトタイプ宣言 */
+void initComplexList(Complex*, int);
+Complex getComplex(double, double);
+Complex addComplex(Complex, Complex);
+Complex timeComplex(Complex, Complex);
+Complex divComplexByReal(Complex, double);
+Complex powComplex(Complex, int);
+void printComplex(Complex);
+
+void genTwiddleTable(Complex*, int);
+Complex calcTwiddlePower(Complex*, int, int);
+void calcDFT(Complex*, Complex*, int);
+void calcIDFT(Complex*, Complex*, int);
+
+void printTable(char*, char, Complex*, int);
+
+int main(void) {
+    /* 信号長 */
+    int N = LENGTH;
+    /* 信号配列 */
+    Complex x[LENGTH] = {getComplex(0, 0), getComplex(1, 0), getComplex(2, 0), getComplex(3, 0), getComplex(4, 0), getComplex(5, 0), getComplex(6, 0), getComplex(7, 0)};
+    /* N点DFT係数 */
+    Complex c[LENGTH];
+    /* 復元された信号配列 */
+    Complex idft_x[LENGTH];
+
+    initComplexList(c, N);
+    initComplexList(idft_x, N);
+
+    printTable("DATA", 'n', x, N);
+
+    calcDFT(x, c, N);
+
+    printTable("DFT", 'k', c, N);
+
+    calcIDFT(c, idft_x, N);
+
+    printTable("IDFT", 'n', idft_x, N);
+
+
+    return 0;
+}
+
+/* 複素数配列を0+j0で初期化 */
+void initComplexList(Complex *list, int N) {
+    int i;
+    for(i = 0; i < N; i++) {
+        list[i] = getComplex(0.0, 0.0);
+    }
+}
+
+/* 第一引数を実部，第二引数を虚部とする複素数を返す */
+Complex getComplex(double real, double imaginary) {
+    Complex z;
+    z.r = real;
+    z.i = imaginary;
+    return z;
+}
+
+/* 第一引数と第二引数の和を返す */
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+/* 第一引数と第二引数の積を返す */
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r*b.r - a.i*b.i, a.r*b.i+a.i*b.r);
+}
+
+/* 第一引数(複素数)を第二引数(実数)で割った値(複素数)を返す */
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+
+/* 第一引数の第二引数乗を返す
+ * 第二引数が負の場合は，第一引数の大きさが1のときのみ正しく計算される
+ */
+Complex powComplex(Complex z, int pow) {
+    if(pow == 0) return getComplex(1.0, 0.0);
+
+    int i;
+    int p = (pow > 0) ? pow : -pow;
+    Complex ret = z;
+    for(i = 0; i < p-1; i++) {
+        ret = timeComplex(ret, z);
+    }
+
+    /* |z|==1のとき，zの-1乗はzの共役複素数 */
+    if(pow < 0)
+        ret.i = -ret.i;
+
+    return ret;
+}
+
+/* 複素数出力 */
+void printComplex(Complex z) {
+    if(z.i < 0) {
+        printf("%f-j%f\n", z.r, -z.i);
+    } else {
+        printf("%f+j%f\n", z.r, z.i);
+    }
+}
+
+/* 回転子W_Nの0乗からN-1乗を計算 */
+void genTwiddleTable(Complex *W, int N) {
+    int i;
+    for (i = 0; i < N; i++) {
+        W[i] = getComplex(cos(i * 2.0 * M_PI / N), -sin(i * 2.0 * M_PI / N));
+    }
+}
+
+/* 回転子W_Nのn乗のk乗を計算 */
+Complex calcTwiddlePower(Complex *W, int n, int k) {
+    return powComplex(W[n], k);
+}
+
+/* 離散フーリエ変換 */
+void calcDFT(Complex *x, Complex *c, int N) {
+    int k, n;
+    Complex W[LENGTH];
+
+    genTwiddleTable(W, N);
+    printTable("TWIDDLE", 'i', W, N);
+
+    /* 信号長で反復 */
+    for(k = 0; k < N; k++) {
+        /* シグマループ */
+        for(n = 0; n < N; n++) {
+            c[k] = addComplex(
+                c[k],
+                timeComplex(
+                    x[n],
+                    calcTwiddlePower(
+                        W, k, n
+                    )
+                )
+            );
+        }
+    }
+}
+
+/* 離散フーリエ逆変換 */
+void calcIDFT(Complex *c, Complex *x, int N) {
+    int n, k;
+    Complex W[LENGTH];
+
+    genTwiddleTable(W, N);
+
+    /* 信号長で反復 */
+    for(n = 0; n < N; n++) {
+        /* シグマループ */
+        for(k = 0; k < N; k++) {
+            x[n] = addComplex(
+                x[n],
+                timeComplex(
+                    c[k],
+                    calcTwiddlePower(
+                        W, n, -k
+                    )
+                )
+            );
+        }
+        /* 総和をNで割る */
+        x[n] = divComplexByReal(x[n], (double)N);
+    }
+}
+
+/* 複素数テーブル出力 */
+void printTable(char *name, char index, Complex *z, int N) {
+    int i;
+    printf("----- BEGIN %s TABLE -----\n", name);
+    for(i = 0; i < N; i++) {
+        printf("%c = %d : ", index, i);
+        printComplex(z[i]);
+    }
+    printf("----- END %s TABLE -----\n", name);
+}

FFT-kosatsu1.c

@@ -0,0 +1,76 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+#include<stdlib.h>
+
+#define LENGTH 512 /* 信号長N ただし，2の整数乗 */
+
+/* プロトタイプ宣言 */
+double calcAmpPower(short *x, int N);
+void applyWindow(short *x, int N);
+
+int main(int argc, char *argv[]) {
+    /* 信号長 */
+    int N = LENGTH;
+
+    double beforePower, afterPower;
+
+    int i;
+
+    FILE *fp = NULL;
+    if (argc > 1) {
+        fp = fopen(argv[1], "rb");
+        if (fp == NULL) {
+            fprintf(stderr, "File open error (%s)\n", argv[1]);
+            exit(1);
+        }
+    } else {
+        fprintf(stderr, "Usage: %s input-filename\n", argv[0]);
+        exit(1);
+    }
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+
+    /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", argv[1]);
+        fclose(fp);
+        exit(1);
+    }
+
+    beforePower = calcAmpPower(input, N);
+
+    applyWindow(input, N);
+
+    afterPower = calcAmpPower(input, N);
+
+    printf("BEFORE : %16f\n", beforePower);
+    printf("AFTER  : %16f\n", afterPower);
+    printf("DIFF   : %16f\n", beforePower - afterPower);
+    printf("RATIO  : %16f\n", afterPower / beforePower);
+
+    fclose(fp);
+
+    return 0;
+}
+
+/* short型配列の平均パワーを求める関数 */
+double calcAmpPower(short *x, int N) {
+    double amp;
+    double power = 0.0;
+    for (int i = 0; i < N; i++) {
+        amp = x[i] * x[i];
+        power += amp;
+    }
+    return power / N;
+}
+
+/* 配列にハニング窓を適用 */
+void applyWindow(short *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2 * M_PI * i / (N - 1)); // ハニング窓
+        x[i] *= w;
+    }
+}

FFT.c

@@ -0,0 +1,245 @@
+#define _USE_MATH_DEFINES
+
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <windows.h>
+
+#define LENGTH 512 /* 信号長 ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex;    /* 複素数 */
+
+/* プロトタイプ宣言 */
+void bit_reversal(Complex *x, int N);
+void fft(Complex *x, int N, int inverse);
+void genTwiddleTable(Complex *, int);
+Complex calcTwiddlePower(Complex *, int, int);
+void dft(Complex *, Complex *, int);
+
+Complex getComplex(double r, double i);
+Complex cexptheta(double theta);
+Complex addComplex(Complex a, Complex b);
+Complex subComplex(Complex a, Complex b);
+Complex timeComplex(Complex a, Complex b);
+Complex divComplexByReal(Complex z, double div);
+Complex powComplex(Complex, int);
+
+int main(int argc, char *argv[]) {
+    int N = LENGTH; /* 信号長 */
+    double amp;     /* 振幅 */
+
+    int i;
+
+    /* 時間計測用変数 */
+    LARGE_INTEGER start, end, freq;
+    double elapsedTime;
+    if (!QueryPerformanceFrequency(&freq)) {
+        fprintf(stderr, "High-resolution timer not supported.\n");
+        return 1;
+    }
+
+    FILE *fp = NULL;
+    if (argc > 1) {
+        fp = fopen(argv[1], "rb");
+        if (fp == NULL) {
+            fprintf(stderr, "File open error (%s)\n", argv[1]);
+            exit(1);
+        }
+    } else {
+        fprintf(stderr, "Usage: %s input-filename\n", argv[0]);
+        exit(1);
+    }
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+    Complex x[LENGTH];
+    /* N点DFT係数 */
+    Complex c[LENGTH];
+
+    /* DFT係数の初期化 */
+    for (i = 0; i < N; i++) {
+        c[i] = getComplex(0.0, 0.0);
+    }
+
+    /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", argv[1]);
+        fclose(fp);
+        exit(1);
+    }
+
+    /* 音声データを複素数型に変換 */
+    for (int i = 0; i < N; i++) {
+        x[i] = getComplex(input[i], 0);
+    }
+
+    QueryPerformanceCounter(&start);
+    dft(x, c, N);
+    QueryPerformanceCounter(&end);
+    elapsedTime = (double)(end.QuadPart - start.QuadPart) / freq.QuadPart;
+    printf("DFT Elapsed time: %f seconds\n", elapsedTime);
+
+    QueryPerformanceCounter(&start);
+    fft(x, N, 0);
+    QueryPerformanceCounter(&end);
+    elapsedTime = (double)(end.QuadPart - start.QuadPart) / freq.QuadPart;
+    printf("FFT Elapsed ti82me: %f seconds\n", elapsedTime);
+
+    
+    // for(int i = 0; i < N; i++) {
+    //     amp = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+    //     printf("%f\n", amp);
+    // }
+    
+
+    fclose(fp);
+
+    return 0;
+}
+
+/**
+ * @brief 配列の要素をビット逆順に並べ替える
+ *
+ * @param x 信号配列
+ * @param N 信号長 ただし，2の整数乗
+ */
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    Complex temp;
+    j = 0;
+    for (i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+
+        /* 逆方向カウントアップ */
+        k = N >> 1;
+        while (k <= j && k > 0) { /* もしjのk番目のビットが 1 だったら */
+            j -= k;               /* そのビットを 0 にする */
+            k >>= 1;              /* 次のビットに移る */
+        }
+        j += k; /* 0 を見つけたら 1 にする */
+    }
+}
+
+/**
+ * @brief 高速フーリエ変換
+ *
+ * @param x 入力信号配列
+ * @param N 信号長 ただし，2の整数乗
+ * @param inverse 0ならDFT，1ならIDFT
+ */
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+
+    for (int stage = 1; (1 << stage) <= N; stage++) {
+        int block = 1 << stage;  /* 現在のブロックのサイズ */
+        int block2 = block >> 1; /* ブロックサイズの半分 */
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / block;
+        Complex wm = cexptheta(theta); /* 基本となる回転子 */
+
+        /* 各ブロックの計算 */
+        for (int k = 0; k < N; k += block) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < block2; j++) {
+                /* バタフライ演算の本体 */
+                Complex u = x[k + j]; /* X_0[k] */
+                Complex v =
+                    timeComplex(w, x[k + j + block2]); /* W^k * X_1[k] */
+
+                x[k + j] = addComplex(u, v);
+                x[k + j + block2] = subComplex(u, v);
+
+                w = timeComplex(w, wm);
+            }
+        }
+    }
+
+    /* 逆変換の場合、最後に N で割る */
+    if (inverse) {
+        for (int i = 0; i < N; i++) {
+            x[i] = divComplexByReal(x[i], N);
+        }
+    }
+}
+
+/* 回転子W_Nの0乗からN-1乗を計算 */
+void genTwiddleTable(Complex *W, int N) {
+    int i;
+    for (i = 0; i < N; i++) {
+        W[i] = getComplex(cos(i * 2.0 * M_PI / N), -sin(i * 2.0 * M_PI / N));
+    }
+}
+
+/* 回転子W_Nのn乗のk乗を計算 */
+Complex calcTwiddlePower(Complex *W, int n, int k) {
+    return powComplex(W[n], k);
+}
+
+/* 離散フーリエ変換 */
+void dft(Complex *x, Complex *c, int N) {
+    int k, n;
+    Complex W[LENGTH];
+
+    genTwiddleTable(W, N);
+
+    /* 信号長で反復 */
+    for (k = 0; k < N; k++) {
+        /* シグマループ */
+        for (n = 0; n < N; n++) {
+            c[k] =
+                addComplex(c[k], timeComplex(x[n], calcTwiddlePower(W, k, n)));
+        }
+    }
+}
+
+Complex getComplex(double r, double i) {
+    Complex c;
+    c.r = r;
+    c.i = i;
+    return c;
+}
+
+Complex cexptheta(double theta) { return getComplex(cos(theta), sin(theta)); }
+
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r * b.r - a.i * b.i, a.r * b.i + a.i * b.r);
+}
+
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+
+/* 第一引数の第二引数乗を返す
+ * 第二引数が負の場合は，第一引数の大きさが1のときのみ正しく計算される
+ */
+Complex powComplex(Complex z, int pow) {
+    if (pow == 0)
+        return getComplex(1.0, 0.0);
+
+    int i;
+    int p = (pow > 0) ? pow : -pow;
+    Complex ret = z;
+    for (i = 0; i < p - 1; i++) {
+        ret = timeComplex(ret, z);
+    }
+
+    /* |z|==1のとき，zの-1乗はzの共役複素数 */
+    if (pow < 0)
+        ret.i = -ret.i;
+
+    return ret;
+}

FFT3.c

@@ -0,0 +1,271 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+#include<stdlib.h>
+
+#define LENGTH 512 /* 信号長N ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex; /* 複素数 */
+
+/* プロトタイプ宣言 */
+Complex getComplex(double r, double i);
+void bit_reversal(Complex *x, int N);
+void fft(Complex *x, int N, int inverse);
+void genTwiddleTable(Complex*, int);
+Complex calcTwiddlePower(Complex*, int, int);
+void dft(Complex*, Complex*, int);
+void applyWindow(Complex *x, int N);
+Complex cexptheta(double theta);
+Complex addComplex(Complex a, Complex b);
+Complex subComplex(Complex a, Complex b);
+Complex timeComplex(Complex a, Complex b);
+Complex divComplexByReal(Complex z, double div);
+Complex powComplex(Complex, int);
+void printComplex(Complex z);
+void printTable(char *name, char index, Complex *z, int N);
+
+int main(int argc, char *argv[]) {
+    /* 信号長 */
+    int N = LENGTH;
+    double amp;
+
+    int i;
+
+    FILE *fp = NULL;
+    /* file open */
+    if ( argc > 1 ) {
+        fp = fopen ( argv[1], "rb" );
+        if ( fp == NULL ) {
+            fprintf ( stderr, "File open error (%s)\n", argv[1] );
+            exit ( 1 );
+        }
+    } else {
+        fprintf ( stderr, "Usage: %s input-filename\n", argv[0] );
+        exit ( 1 );
+    }
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+    Complex x[LENGTH];
+    /* N点DFT係数 */
+    Complex c[LENGTH];
+
+    for(i = 0; i < N; i++) {
+        c[i] = getComplex(0.0, 0.0);
+    }
+
+    /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", argv[1]);
+        fclose(fp);
+        exit(1);
+    }
+
+    /* 音声データを複素数領域に変換 */
+    for(int i = 0; i < N; i++) {
+        x[i] = getComplex(input[i], 0);
+    }
+
+
+    //dft(x, c, N);
+
+    applyWindow(x, N);
+
+    fft(x, N, 0);
+    
+    for(int i = 0; i < N; i++) {
+        amp = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+        printf("%f\n", amp);
+    }
+    
+
+    fclose(fp);
+
+    return 0;
+}
+
+/* 第一引数を実部，第二引数を虚部とする複素数を返す */
+Complex getComplex(double r, double i) {
+    Complex c;
+    c.r = r;
+    c.i = i;
+    return c;
+}
+
+/**
+ * @brief 配列の要素をビット逆順に並べ替える
+ *
+ * @param x 信号配列
+ * @param N 信号長 ただし，2の整数乗
+ */
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    j = 0;
+    Complex temp;
+    for(i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+
+        k = N >> 1;
+
+        while (k <= j && k > 0) {
+            j -= k;
+            k >>= 1;
+        }
+        j += k;
+    }
+
+}
+
+/**
+ * @brief 高速フーリエ変換
+ *
+ * @param x 入力信号配列
+ * @param N 信号長 ただし，2の整数乗
+ * @param inverse 0ならDFT，1ならIDFT
+ */
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+
+    for (int s = 1; (1 << s) <= N; s++) {
+        int m = 1 << s;           // 現在のブロックのサイズ
+        int m2 = m >> 1;          // ブロックサイズの半分
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / m;
+        Complex wm = cexptheta(theta); // 基本となる回転因子
+
+        // 各ブロックの計算
+        for (int k = 0; k < N; k += m) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < m2; j++) {
+                // バタフライ演算の本体
+                Complex u = x[k + j];
+                Complex v = timeComplex(w, x[k + j + m2]);
+
+                x[k + j] = addComplex(u, v);      // 上側
+                x[k + j + m2] = subComplex(u, v); // 下側
+
+                w = timeComplex(w, wm); // 回転因子を更新
+            }
+        }
+    }
+
+    // 3. 逆変換の場合、最後に n で割る
+    if (inverse) {
+        for (int i = 0; i < N; i++) {
+            x[i] = divComplexByReal(x[i], N);
+        }
+    }
+}
+
+/* 回転子W_Nの0乗からN-1乗を計算 */
+void genTwiddleTable(Complex *W, int N) {
+    int i;
+    for (i = 0; i < N; i++) {
+        W[i] = getComplex(cos(i * 2.0 * M_PI / N), -sin(i * 2.0 * M_PI / N));
+    }
+}
+
+/* 回転子W_Nのn乗のk乗を計算 */
+Complex calcTwiddlePower(Complex *W, int n, int k) {
+    return powComplex(W[n], k);
+}
+
+/* 離散フーリエ変換 */
+void dft(Complex *x, Complex *c, int N) {
+    int k, n;
+    Complex W[LENGTH];
+
+    genTwiddleTable(W, N);
+
+    /* 信号長で反復 */
+    for(k = 0; k < N; k++) {
+        /* シグマループ */
+        for(n = 0; n < N; n++) {
+            c[k] = addComplex(
+                c[k],
+                timeComplex(
+                    x[n],
+                    calcTwiddlePower(
+                        W, k, n
+                    )
+                )
+            );
+        }
+    }
+}
+
+/* 配列にハニング窓を適用 */
+void applyWindow(Complex *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2 * M_PI * i / (N - 1)); // ハニング窓
+        x[i].r *= w;
+        x[i].i *= w;
+    }
+}
+
+Complex cexptheta(double theta) {
+    return getComplex(cos(theta), sin(theta));
+}
+
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r*b.r - a.i*b.i, a.r*b.i+a.i*b.r);
+}
+
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+
+/* 第一引数の第二引数乗を返す
+ * 第二引数が負の場合は，第一引数の大きさが1のときのみ正しく計算される
+ */
+Complex powComplex(Complex z, int pow) {
+    if(pow == 0) return getComplex(1.0, 0.0);
+
+    int i;
+    int p = (pow > 0) ? pow : -pow;
+    Complex ret = z;
+    for(i = 0; i < p-1; i++) {
+        ret = timeComplex(ret, z);
+    }
+
+    /* |z|==1のとき，zの-1乗はzの共役複素数 */
+    if(pow < 0)
+        ret.i = -ret.i;
+
+    return ret;
+}
+
+/* 複素数出力 */
+void printComplex(Complex z) {
+    if(z.i < 0) {
+        printf("%f-j%f\n", z.r, -z.i);
+    } else {
+        printf("%f+j%f\n", z.r, z.i);
+    }
+}
+
+/* 複素数テーブル出力 */
+void printTable(char *name, char index, Complex *z, int N) {
+    int i;
+    printf("----- BEGIN %s TABLE -----\n", name);
+    for(i = 0; i < N; i++) {
+        printf("%c = %d : ", index, i);
+        printComplex(z[i]);
+    }
+    printf("----- END %s TABLE -----\n", name);
+}

FFT4.c

@@ -0,0 +1,252 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+#include<stdlib.h>
+
+#define LENGTH 512 /* 信号長 ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex; /* 複素数 */
+
+/* プロトタイプ宣言 */
+Complex getComplex(double r, double i);
+void bit_reversal(Complex *x, int N);
+void fft(Complex *x, int N, int inverse);
+void genTwiddleTable(Complex*, int);
+Complex calcTwiddlePower(Complex*, int, int);
+void dft(Complex*, Complex*, int);
+void applyWindow(Complex *x, int N);
+
+Complex cexptheta(double theta);
+Complex addComplex(Complex a, Complex b);
+Complex subComplex(Complex a, Complex b);
+Complex timeComplex(Complex a, Complex b);
+Complex divComplexByReal(Complex z, double div);
+Complex powComplex(Complex, int);
+
+int main() {
+    int N = LENGTH; /* 信号長 */
+    double amp; /* 振幅 */
+
+    int i;
+
+    double start_sec = 2.454; /* 読み込む音声の開始位置 [秒] */
+
+    long fs = 16000; /* 標本化周波数 */
+    long bytes_per_sample = 2; /* 16bitなので2バイト */
+    long start_byte = (long)(start_sec * fs * bytes_per_sample);    /* 指定時刻の開始位置バイト */
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+    Complex x[LENGTH];
+    /* N点DFT係数 */
+    Complex c[LENGTH];
+
+
+    FILE *fp = fopen ( "j22330.sw", "rb" );
+    if ( fp == NULL ) {
+        fprintf ( stderr, "File open error (j22330.sw)\n" );
+        exit ( 1 );
+    }
+
+    /* DFT係数の初期化 */
+    for(i = 0; i < N; i++) {
+        c[i] = getComplex(0.0, 0.0);
+    }
+
+    /* 読み込む位置にファイルポインタを移動 */
+    fseek(fp, start_byte, SEEK_SET);
+
+    /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (j22330.sw)\n");
+        fclose(fp);
+        exit(1);
+    }
+
+    /* 音声データを複素数型に変換 */
+    for(int i = 0; i < N; i++) {
+        x[i] = getComplex(input[i], 0);
+    }
+
+    /* 窓関数の適用 */
+    applyWindow(x, N);
+
+    /* FFTの実行 */
+    fft(x, N, 0);
+    
+    /* 振幅スペクトルの出力 */
+    for(int i = 0; i < N; i++) {
+        amp = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+        printf("%f\n", amp);
+    }
+    
+
+    fclose(fp);
+
+    return 0;
+}
+
+/**
+ * @brief 配列の要素をビット逆順に並べ替える
+ *
+ * @param x 信号配列
+ * @param N 信号長 ただし，2の整数乗
+ */
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    Complex temp;
+    j = 0;
+    for(i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+
+        /* 逆方向カウントアップ */
+        k = N >> 1;
+        while (k <= j && k > 0) {   /* もしjのk番目のビットが 1 だったら */
+            j -= k; /* そのビットを 0 にする */
+            k >>= 1;    /* 次のビットに移る */
+        }
+        j += k; /* 0 を見つけたら 1 にする */
+    }
+
+}
+
+/**
+ * @brief 高速フーリエ変換
+ *
+ * @param x 入力信号配列
+ * @param N 信号長 ただし，2の整数乗
+ * @param inverse 0ならDFT，1ならIDFT
+ */
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+
+    for (int stage = 1; (1 << stage) <= N; stage++) {
+        int block = 1 << stage; /* 現在のブロックのサイズ */
+        int block2 = block >> 1;    /* ブロックサイズの半分 */
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / block;
+        Complex wm = cexptheta(theta);  /* 基本となる回転子 */
+
+        /* 各ブロックの計算 */
+        for (int k = 0; k < N; k += block) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < block2; j++) {
+                /* バタフライ演算の本体 */
+                Complex u = x[k + j];   /* X_0[k] */
+                Complex v = timeComplex(w, x[k + j + block2]);  /* W^k * X_1[k] */
+
+                x[k + j] = addComplex(u, v);
+                x[k + j + block2] = subComplex(u, v);
+
+                w = timeComplex(w, wm);
+            }
+        }
+    }
+
+    /* 逆変換の場合、最後に N で割る */
+    if (inverse) {
+        for (int i = 0; i < N; i++) {
+            x[i] = divComplexByReal(x[i], N);
+        }
+    }
+}
+
+/* 回転子W_Nの0乗からN-1乗を計算 */
+void genTwiddleTable(Complex *W, int N) {
+    int i;
+    for (i = 0; i < N; i++) {
+        W[i] = getComplex(cos(i * 2.0 * M_PI / N), -sin(i * 2.0 * M_PI / N));
+    }
+}
+
+/* 回転子W_Nのn乗のk乗を計算 */
+Complex calcTwiddlePower(Complex *W, int n, int k) {
+    return powComplex(W[n], k);
+}
+
+/* 離散フーリエ変換 */
+void dft(Complex *x, Complex *c, int N) {
+    int k, n;
+    Complex W[LENGTH];
+
+    genTwiddleTable(W, N);
+
+    /* 信号長で反復 */
+    for(k = 0; k < N; k++) {
+        /* シグマループ */
+        for(n = 0; n < N; n++) {
+            c[k] = addComplex(
+                c[k],
+                timeComplex(
+                    x[n],
+                    calcTwiddlePower(
+                        W, k, n
+                    )
+                )
+            );
+        }
+    }
+}
+
+/* 配列にハニング窓を適用 */
+void applyWindow(Complex *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2 * M_PI * i / (N - 1));
+        x[i].r *= w;
+        x[i].i *= w;
+    }
+}
+
+Complex getComplex(double r, double i) {
+    Complex c;
+    c.r = r;
+    c.i = i;
+    return c;
+}
+
+Complex cexptheta(double theta) {
+    return getComplex(cos(theta), sin(theta));
+}
+
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r*b.r - a.i*b.i, a.r*b.i+a.i*b.r);
+}
+
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+
+/* 第一引数の第二引数乗を返す
+ * 第二引数が負の場合は，第一引数の大きさが1のときのみ正しく計算される
+ */
+Complex powComplex(Complex z, int pow) {
+    if(pow == 0) return getComplex(1.0, 0.0);
+
+    int i;
+    int p = (pow > 0) ? pow : -pow;
+    Complex ret = z;
+    for(i = 0; i < p-1; i++) {
+        ret = timeComplex(ret, z);
+    }
+
+    /* |z|==1のとき，zの-1乗はzの共役複素数 */
+    if(pow < 0)
+        ret.i = -ret.i;
+
+    return ret;
+}

FFT_unified.c

@@ -0,0 +1,270 @@
+#define _USE_MATH_DEFINES
+
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <windows.h>
+
+#define LENGTH 512 /* 信号長 ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex;    /* 複素数 */
+
+/* ----------------------------------------------------
+ * 複素数演算関数群
+ * ---------------------------------------------------- */
+Complex getComplex(double r, double i) {
+    return (Complex){r, i};
+}
+
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r * b.r - a.i * b.i, a.r * b.i + a.i * b.r);
+}
+
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+
+Complex cexptheta(double theta) {
+    return getComplex(cos(theta), sin(theta));
+}
+
+/* ----------------------------------------------------
+ * 信号処理関数群
+ * ---------------------------------------------------- */
+
+/* 窓関数（Complex型配列専用に統合） */
+void applyWindow(Complex *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2.0 * M_PI * i / (N - 1)); // ハニング窓
+        x[i].r *= w;
+        x[i].i *= w;
+    }
+}
+
+/* 平均パワー計算（Complex型配列専用に統合） */
+double calcAmpPower(Complex *x, int N) {
+    double power = 0.0;
+    for (int i = 0; i < N; i++) {
+        power += (x[i].r * x[i].r + x[i].i * x[i].i);
+    }
+    return power / N;
+}
+
+/* ビット逆順並び替え */
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    Complex temp;
+    j = 0;
+    for (i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+        k = N >> 1;
+        while (k <= j && k > 0) {
+            j -= k;
+            k >>= 1;
+        }
+        j += k;
+    }
+}
+
+/* 高速フーリエ変換 */
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+
+    for (int stage = 1; (1 << stage) <= N; stage++) {
+        int block = 1 << stage;
+        int block2 = block >> 1;
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / block;
+        Complex wm = cexptheta(theta);
+
+        for (int k = 0; k < N; k += block) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < block2; j++) {
+                Complex u = x[k + j];
+                Complex v = timeComplex(w, x[k + j + block2]);
+
+                x[k + j] = addComplex(u, v);
+                x[k + j + block2] = subComplex(u, v);
+
+                w = timeComplex(w, wm);
+            }
+        }
+    }
+
+    if (inverse) {
+        for (int i = 0; i < N; i++) {
+            x[i] = divComplexByReal(x[i], N);
+        }
+    }
+}
+
+/* 離散フーリエ変換
+ * 冗長な回転子テーブル生成・計算関数を省き、
+ * 定義通りに計算するようリファクタリング済
+ */
+void dft(Complex *x, Complex *c, int N) {
+    for (int k = 0; k < N; k++) {
+        c[k] = getComplex(0.0, 0.0);
+        for (int n = 0; n < N; n++) {
+            double theta = -2.0 * M_PI * k * n / N;
+            Complex w = cexptheta(theta);
+            c[k] = addComplex(c[k], timeComplex(x[n], w));
+        }
+    }
+}
+
+/* 結果出力用ユーティリティ関数 */
+void saveAmpSpectrum(const char *filename, Complex *x, int N) {
+    FILE *fp = fopen(filename, "w");
+    if (fp == NULL) {
+        fprintf(stderr, "Failed to open output file: %s\n", filename);
+        return;
+    }
+    for (int i = 0; i < N; i++) {
+        double amp = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+        fprintf(fp, "%f\n", amp);
+    }
+    fclose(fp);
+    printf("  -> Saved amplitude spectrum to %s\n", filename);
+}
+
+/* ----------------------------------------------------
+ * メイン関数
+ * ---------------------------------------------------- */
+int main(int argc, char *argv[]) {
+    if (argc != 3) {
+        fprintf(stderr, "Usage: %s <file1.sw> <file2.sw>\n", argv[0]);
+        return 1;
+    }
+
+    int N = LENGTH;
+    char *file1 = argv[1];
+    char *file2 = argv[2];
+    short input[LENGTH];
+    Complex x[LENGTH];
+    Complex c[LENGTH];
+
+    printf("========== FFT UNIFIED PROGRAM ==========\n");
+    printf("File 1: %s\n", file1);
+    printf("File 2: %s\n", file2);
+    printf("=========================================\n\n");
+
+    /* ----------------------------------------------------
+     * モード 1 & 2 & 3: 実行時間・パワー比較・FFT結果 (file1を使用)
+     * ---------------------------------------------------- */
+    printf("[Mode: File1 Analysis (%s)]\n", file1);
+    FILE *fp1 = fopen(file1, "rb");
+    if (fp1 == NULL) {
+        fprintf(stderr, "File open error (%s)\n", file1);
+        exit(1);
+    }
+
+    if (fread(input, sizeof(short), N, fp1) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", file1);
+        fclose(fp1);
+        exit(1);
+    }
+    fclose(fp1);
+
+    // --- 実行時間の比較 (Time Mode) ---
+    LARGE_INTEGER start, end, freq;
+    double elapsedTime;
+    QueryPerformanceFrequency(&freq);
+
+    for (int i = 0; i < N; i++) x[i] = getComplex(input[i], 0);
+
+    QueryPerformanceCounter(&start);
+    dft(x, c, N);
+    QueryPerformanceCounter(&end);
+    elapsedTime = (double)(end.QuadPart - start.QuadPart) / freq.QuadPart;
+    printf("\n--- Execution Time Comparison ---\n");
+    printf("  DFT Elapsed time: %f seconds\n", elapsedTime);
+
+    QueryPerformanceCounter(&start);
+    fft(x, N, 0);
+    QueryPerformanceCounter(&end);
+    elapsedTime = (double)(end.QuadPart - start.QuadPart) / freq.QuadPart;
+    printf("  FFT Elapsed time: %f seconds\n", elapsedTime);
+
+    // --- 窓関数適用とパワー比較 (Power Mode) ---
+    for (int i = 0; i < N; i++) x[i] = getComplex(input[i], 0);
+    double beforePower = calcAmpPower(x, N);
+    applyWindow(x, N);
+    double afterPower = calcAmpPower(x, N);
+    
+    printf("\n--- Power Analysis (Window Application) ---\n");
+    printf("  BEFORE : %16f\n", beforePower);
+    printf("  AFTER  : %16f\n", afterPower);
+    printf("  DIFF   : %16f\n", beforePower - afterPower);
+    printf("  RATIO  : %16f\n", afterPower / beforePower);
+
+    // --- FFT振幅スペクトル出力 (Amp Mode) ---
+    printf("\n--- Amplitude Spectrum Output ---\n");
+    fft(x, N, 0); // すでに窓関数適用済みの配列に対してFFTを実行
+    saveAmpSpectrum("result_amp_file1.txt", x, N);
+
+    /* ----------------------------------------------------
+     * モード 4: 指定時刻シーク分析 (file2を使用)
+     * ---------------------------------------------------- */
+    printf("\n[Mode: Seek Analysis (%s)]\n", file2);
+    FILE *fp2 = fopen(file2, "rb");
+    if (fp2 == NULL) {
+        fprintf(stderr, "File open error (%s)\n", file2);
+        exit(1);
+    }
+
+    typedef struct {
+        double time_sec;
+        const char *vowel;
+    } SeekTarget;
+
+    // 指定された5つの時刻を定義
+    SeekTarget targets[] = {
+        {0.361, "a"}, // あ
+        {0.969, "i"}, // い
+        {1.415, "u"}, // う
+        {1.936, "e"}, // え
+        {2.431, "o"}  // お
+    };
+
+    long fs = 16000;
+    long bytes_per_sample = 2;
+
+    for (int t = 0; t < 5; t++) {
+        long start_byte = (long)(targets[t].time_sec * fs * bytes_per_sample);
+        fseek(fp2, start_byte, SEEK_SET);
+
+        if (fread(input, sizeof(short), N, fp2) != (size_t)N) {
+            fprintf(stderr, "File read error (%s) at %f s\n", file2, targets[t].time_sec);
+            continue;
+        }
+
+        // Complex型への変換、窓関数の適用、FFTの実行
+        for (int i = 0; i < N; i++) x[i] = getComplex(input[i], 0);
+        applyWindow(x, N);
+        fft(x, N, 0);
+        
+        char out_filename[256];
+        sprintf(out_filename, "result_seek_%s.txt", targets[t].vowel);
+        saveAmpSpectrum(out_filename, x, N);
+    }
+
+    fclose(fp2);
+    
+    printf("\nAll analyses finished successfully.\n");
+    return 0;
+}

FFTh1.c

@@ -0,0 +1,192 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+#include<stdlib.h>
+
+#define LENGTH 512 /* 信号長 ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex; /* 複素数 */
+
+/* プロトタイプ宣言 */
+Complex getComplex(double r, double i);
+void bit_reversal(Complex *x, int N);
+void fft(Complex *x, int N, int inverse);
+void applyWindow(Complex *x, int N);
+
+Complex cexptheta(double theta);
+Complex addComplex(Complex a, Complex b);
+Complex subComplex(Complex a, Complex b);
+Complex timeComplex(Complex a, Complex b);
+Complex divComplexByReal(Complex z, double div);
+
+int main() {
+    int N = LENGTH; /* 信号長 */
+    double amp; /* 振幅 */
+
+    int i;
+    int j;
+
+    double start_sec = 2.454; /* 読み込む音声の開始位置 [秒] */
+
+    long fs = 16000; /* 標本化周波数 */
+    long bytes_per_sample = 2; /* 16bitなので2バイト */
+    long start_byte = (long)(start_sec * fs * bytes_per_sample);    /* 指定時刻の開始位置バイト */
+
+    long frame_length = 32; /* フレーム長[msec] */
+    long frame_period = 10; /* フレーム周期[msec] */
+    long frame_length_samples = (long)(frame_length * fs / 1000); /* フレーム長[サンプル] */
+    long frame_period_samples = (long)(frame_period * fs / 1000); /* フレーム周期[サンプル] */
+    long frame_period_bytes = frame_period_samples * bytes_per_sample; /* フレーム周期[バイト] */
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+    Complex x[LENGTH];
+
+    FILE *fp = fopen ( "j22330.sw", "rb" );
+    if ( fp == NULL ) {
+        fprintf ( stderr, "File open error (j22330.sw)\n" );
+        exit ( 1 );
+    }
+
+    /* 読み込む位置にファイルポインタを移動 */
+    fseek(fp, start_byte, SEEK_SET);
+    
+    for() {
+        /* 音声データを読み込み */
+        if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+            fprintf(stderr, "File read error (j22330.sw)\n");
+            fclose(fp);
+            exit(1);
+        }
+
+        /* 音声データを複素数型に変換 */
+        for(i = 0; i < N; i++) {
+            x[i] = getComplex(input[i], 0);
+        }
+
+        /* 窓関数の適用 */
+        applyWindow(x, N);
+
+        /* FFTの実行 */
+        fft(x, N, 0);
+        
+        /* 振幅スペクトルの出力 */
+        for(i = 0; i < N; i++) {
+            amp = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+            printf("%f\n", amp);
+        }
+        
+    }
+
+    fclose(fp);
+
+    return 0;
+}
+
+/**
+ * @brief 配列の要素をビット逆順に並べ替える
+ *
+ * @param x 信号配列
+ * @param N 信号長 ただし，2の整数乗
+ */
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    Complex temp;
+    j = 0;
+    for(i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+
+        /* 逆方向カウントアップ */
+        k = N >> 1;
+        while (k <= j && k > 0) {   /* もしjのk番目のビットが 1 だったら */
+            j -= k; /* そのビットを 0 にする */
+            k >>= 1;    /* 次のビットに移る */
+        }
+        j += k; /* 0 を見つけたら 1 にする */
+    }
+
+}
+
+/**
+ * @brief 高速フーリエ変換
+ *
+ * @param x 入力信号配列
+ * @param N 信号長 ただし，2の整数乗
+ * @param inverse 0ならDFT，1ならIDFT
+ */
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+
+    for (int stage = 1; (1 << stage) <= N; stage++) {
+        int block = 1 << stage; /* 現在のブロックのサイズ */
+        int block2 = block >> 1;    /* ブロックサイズの半分 */
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / block;
+        Complex wm = cexptheta(theta);  /* 基本となる回転子 */
+
+        /* 各ブロックの計算 */
+        for (int k = 0; k < N; k += block) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < block2; j++) {
+                /* バタフライ演算の本体 */
+                Complex u = x[k + j];   /* X_0[k] */
+                Complex v = timeComplex(w, x[k + j + block2]);  /* W^k * X_1[k] */
+
+                x[k + j] = addComplex(u, v);
+                x[k + j + block2] = subComplex(u, v);
+
+                w = timeComplex(w, wm);
+            }
+        }
+    }
+
+    /* 逆変換の場合、最後に N で割る */
+    if (inverse) {
+        for (int i = 0; i < N; i++) {
+            x[i] = divComplexByReal(x[i], N);
+        }
+    }
+}
+
+/* 配列にハニング窓を適用 */
+void applyWindow(Complex *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2 * M_PI * i / (N - 1));
+        x[i].r *= w;
+        x[i].i *= w;
+    }
+}
+
+Complex getComplex(double r, double i) {
+    Complex c;
+    c.r = r;
+    c.i = i;
+    return c;
+}
+
+Complex cexptheta(double theta) {
+    return getComplex(cos(theta), sin(theta));
+}
+
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r*b.r - a.i*b.i, a.r*b.i+a.i*b.r);
+}
+
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}

LittleEndian_16kHz_16bit_1ch_NoHeader/README.txt

@@ -0,0 +1,16 @@
+<このフォルダの中身>
+
+sample01.sw
+ ... 分析対象の信号1(標本化周波数 16kHz, 量子化ビット数 16bit, チャネル数 1ch, ヘッダなし, little-endian)
+     すべての実験課題において使用
+     課題05（スペクトログラムの可視化）においてもプログラム動作検証として結果を出力する
+
+sample_1kHz.sw
+ ... 1kHzの正弦波信号(標本化周波数 16kHz, 量子化ビット数 16bit, チャネル数 1ch, ヘッダなし, little-endian)
+     ファイル読み込みを含む、プログラムの動作確認用として提供
+
+sample_500Hz.sw
+ ... 500Hzの正弦波信号(標本化周波数 16kHz, 量子化ビット数 16bit, チャネル数 1ch, ヘッダなし, little-endian)
+     ファイル読み込みを含む、プログラムの動作確認用として提供
+
+以上。

LittleEndian_16kHz_16bit_1ch_NoHeader/kadai1.plot

@@ -0,0 +1,18 @@
+set term png
+
+set output "sample01.png"
+
+fs = 16000.0
+
+set xlabel "time [msec]"
+set ylabel "amplitude"
+
+set xrange [0:30]
+set yrange [-1:1]
+
+set size ratio 0.3
+
+plot "sample01.sw" binary format="%int16" every ::::479 \
+    using ($0 * 1000.0 / fs):($1/32767.0) \
+    with lines notitle
+

SampleCodes/README.txt

@@ -0,0 +1,30 @@
+<このフォルダの中身>
+
+bin2ascii-fopen.c
+ ... バイナリデータ読み込み関数(fread)のサンプル
+
+gnuplot-graph.gp.txt
+ ... グラフソフトウェア gnuplot によるデータの可視化スクリプト記述例
+
+sample_1kHz.sw
+ ... 1kHzの正弦波信号(標本化周波数 16kHz, 量子化ビット数 16bit, チャネル数 1ch, ヘッダなし, little-endian)
+
+<プログラム bin2ascii>
+
+コンパイル(gcc)
+% gcc -Wall -pedantic -o bin2ascii-fopen bin2ascii-fopen.c
+  ... 実行可能形式ファイル bin2ascii ができる
+
+実行例
+% .\bin2ascii-fopen sample_1kHz.sw > sample_1kHz.txt
+  ... バイナリデータ sample_1kHz.sw を読み込み、
+      テキストデータ sample_1kHz.txt を出力
+ 
+<gnuplotスクリプト>
+
+実行例
+% gnuplot gnuplot-graph.gp.txt
+  ... 事前にテキストデータ sample_1kHz.txt があれば、
+      PNGファイル sample-1kHz.png を出力
+
+以上。

SampleCodes/bin2ascii-fopen.c

@@ -0,0 +1,34 @@
+/* バイナリデータ(short型)を読み込み、整数値のテキストを出力
+*/
+#include <stdio.h>
+#include <stdlib.h>
+
+int main ( int argc, char *argv[] ) {
+  short x;
+  FILE *fp = NULL;
+  /* file open */
+  if ( argc > 1 ) {
+    fp = fopen ( argv[1], "rb" );
+    if ( fp == NULL ) {
+      fprintf ( stderr, "File open error (%s)\n", argv[1] );
+      exit ( 1 );
+    }
+  } else {
+    fprintf ( stderr, "Usage: %s input-filename\n", argv[0] );
+    exit ( 1 );
+  }
+
+  /* read & write */
+  while ( fread ( &x, sizeof ( short ), 1, fp ) == 1 ) {
+    printf ( "%d\n", x );
+  }
+
+  /* file close */
+  fclose ( fp );
+  return 0;
+}
+/* EOF */
+/*
+$ gcc -o bin2ascii-fopen bin2ascii-fopen.c
+$ bin2ascii-fopen sample01.sw > sample01.asc
+*/

SampleCodes/gnuplot-graph.gp.txt

@@ -0,0 +1,18 @@
+# gnuplot によるグラフ描画のスクリプト記述例
+# (gnuplotのコマンド等仕様は各自で調べて使う)
+#
+# 使用例:
+# % gnuplot gnuplot-graph.gp.txt
+#
+### 保存形式 png
+set term png
+
+### 保存ファイル名
+set output "sample_1kHz.png"
+
+### X軸とY軸の軸名を指定
+set xlabel "#samples"
+set ylabel "amp."
+
+### 
+plot [0:511] "sample_1kHz.txt" notitle with lines

gemini/FFT_unified.c

@@ -0,0 +1,270 @@
+#define _USE_MATH_DEFINES
+
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <windows.h>
+
+#define LENGTH 512 /* 信号長 ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex;    /* 複素数 */
+
+/* ----------------------------------------------------
+ * 複素数演算関数群
+ * ---------------------------------------------------- */
+Complex getComplex(double r, double i) {
+    return (Complex){r, i};
+}
+
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r * b.r - a.i * b.i, a.r * b.i + a.i * b.r);
+}
+
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+
+Complex cexptheta(double theta) {
+    return getComplex(cos(theta), sin(theta));
+}
+
+/* ----------------------------------------------------
+ * 信号処理関数群
+ * ---------------------------------------------------- */
+
+/* 窓関数（Complex型配列専用に統合） */
+void applyWindow(Complex *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2.0 * M_PI * i / (N - 1)); // ハニング窓
+        x[i].r *= w;
+        x[i].i *= w;
+    }
+}
+
+/* 平均パワー計算（Complex型配列専用に統合） */
+double calcAmpPower(Complex *x, int N) {
+    double power = 0.0;
+    for (int i = 0; i < N; i++) {
+        power += (x[i].r * x[i].r + x[i].i * x[i].i);
+    }
+    return power / N;
+}
+
+/* ビット逆順並び替え */
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    Complex temp;
+    j = 0;
+    for (i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+        k = N >> 1;
+        while (k <= j && k > 0) {
+            j -= k;
+            k >>= 1;
+        }
+        j += k;
+    }
+}
+
+/* 高速フーリエ変換 */
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+
+    for (int stage = 1; (1 << stage) <= N; stage++) {
+        int block = 1 << stage;
+        int block2 = block >> 1;
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / block;
+        Complex wm = cexptheta(theta);
+
+        for (int k = 0; k < N; k += block) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < block2; j++) {
+                Complex u = x[k + j];
+                Complex v = timeComplex(w, x[k + j + block2]);
+
+                x[k + j] = addComplex(u, v);
+                x[k + j + block2] = subComplex(u, v);
+
+                w = timeComplex(w, wm);
+            }
+        }
+    }
+
+    if (inverse) {
+        for (int i = 0; i < N; i++) {
+            x[i] = divComplexByReal(x[i], N);
+        }
+    }
+}
+
+/* 離散フーリエ変換
+ * 冗長な回転子テーブル生成・計算関数を省き、
+ * 定義通りに計算するようリファクタリング済
+ */
+void dft(Complex *x, Complex *c, int N) {
+    for (int k = 0; k < N; k++) {
+        c[k] = getComplex(0.0, 0.0);
+        for (int n = 0; n < N; n++) {
+            double theta = -2.0 * M_PI * k * n / N;
+            Complex w = cexptheta(theta);
+            c[k] = addComplex(c[k], timeComplex(x[n], w));
+        }
+    }
+}
+
+/* 結果出力用ユーティリティ関数 */
+void saveAmpSpectrum(const char *filename, Complex *x, int N) {
+    FILE *fp = fopen(filename, "w");
+    if (fp == NULL) {
+        fprintf(stderr, "Failed to open output file: %s\n", filename);
+        return;
+    }
+    for (int i = 0; i < N; i++) {
+        double amp = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+        fprintf(fp, "%f\n", amp);
+    }
+    fclose(fp);
+    printf("  -> Saved amplitude spectrum to %s\n", filename);
+}
+
+/* ----------------------------------------------------
+ * メイン関数
+ * ---------------------------------------------------- */
+int main(int argc, char *argv[]) {
+    if (argc != 3) {
+        fprintf(stderr, "Usage: %s <file1.sw> <file2.sw>\n", argv[0]);
+        return 1;
+    }
+
+    int N = LENGTH;
+    char *file1 = argv[1];
+    char *file2 = argv[2];
+    short input[LENGTH];
+    Complex x[LENGTH];
+    Complex c[LENGTH];
+
+    printf("========== FFT UNIFIED PROGRAM ==========\n");
+    printf("File 1: %s\n", file1);
+    printf("File 2: %s\n", file2);
+    printf("=========================================\n\n");
+
+    /* ----------------------------------------------------
+     * モード 1 & 2 & 3: 実行時間・パワー比較・FFT結果 (file1を使用)
+     * ---------------------------------------------------- */
+    printf("[Mode: File1 Analysis (%s)]\n", file1);
+    FILE *fp1 = fopen(file1, "rb");
+    if (fp1 == NULL) {
+        fprintf(stderr, "File open error (%s)\n", file1);
+        exit(1);
+    }
+
+    if (fread(input, sizeof(short), N, fp1) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", file1);
+        fclose(fp1);
+        exit(1);
+    }
+    fclose(fp1);
+
+    // --- 実行時間の比較 (Time Mode) ---
+    LARGE_INTEGER start, end, freq;
+    double elapsedTime;
+    QueryPerformanceFrequency(&freq);
+
+    for (int i = 0; i < N; i++) x[i] = getComplex(input[i], 0);
+
+    QueryPerformanceCounter(&start);
+    dft(x, c, N);
+    QueryPerformanceCounter(&end);
+    elapsedTime = (double)(end.QuadPart - start.QuadPart) / freq.QuadPart;
+    printf("\n--- Execution Time Comparison ---\n");
+    printf("  DFT Elapsed time: %f seconds\n", elapsedTime);
+
+    QueryPerformanceCounter(&start);
+    fft(x, N, 0);
+    QueryPerformanceCounter(&end);
+    elapsedTime = (double)(end.QuadPart - start.QuadPart) / freq.QuadPart;
+    printf("  FFT Elapsed time: %f seconds\n", elapsedTime);
+
+    // --- 窓関数適用とパワー比較 (Power Mode) ---
+    for (int i = 0; i < N; i++) x[i] = getComplex(input[i], 0);
+    double beforePower = calcAmpPower(x, N);
+    applyWindow(x, N);
+    double afterPower = calcAmpPower(x, N);
+    
+    printf("\n--- Power Analysis (Window Application) ---\n");
+    printf("  BEFORE : %16f\n", beforePower);
+    printf("  AFTER  : %16f\n", afterPower);
+    printf("  DIFF   : %16f\n", beforePower - afterPower);
+    printf("  RATIO  : %16f\n", afterPower / beforePower);
+
+    // --- FFT振幅スペクトル出力 (Amp Mode) ---
+    printf("\n--- Amplitude Spectrum Output ---\n");
+    fft(x, N, 0); // すでに窓関数適用済みの配列に対してFFTを実行
+    saveAmpSpectrum("result_amp_file1.txt", x, N);
+
+    /* ----------------------------------------------------
+     * モード 4: 指定時刻シーク分析 (file2を使用)
+     * ---------------------------------------------------- */
+    printf("\n[Mode: Seek Analysis (%s)]\n", file2);
+    FILE *fp2 = fopen(file2, "rb");
+    if (fp2 == NULL) {
+        fprintf(stderr, "File open error (%s)\n", file2);
+        exit(1);
+    }
+
+    typedef struct {
+        double time_sec;
+        const char *vowel;
+    } SeekTarget;
+
+    // 指定された5つの時刻を定義
+    SeekTarget targets[] = {
+        {0.361, "a"}, // あ
+        {0.969, "i"}, // い
+        {1.415, "u"}, // う
+        {1.936, "e"}, // え
+        {2.431, "o"}  // お
+    };
+
+    long fs = 16000;
+    long bytes_per_sample = 2;
+
+    for (int t = 0; t < 5; t++) {
+        long start_byte = (long)(targets[t].time_sec * fs * bytes_per_sample);
+        fseek(fp2, start_byte, SEEK_SET);
+
+        if (fread(input, sizeof(short), N, fp2) != (size_t)N) {
+            fprintf(stderr, "File read error (%s) at %f s\n", file2, targets[t].time_sec);
+            continue;
+        }
+
+        // Complex型への変換、窓関数の適用、FFTの実行
+        for (int i = 0; i < N; i++) x[i] = getComplex(input[i], 0);
+        applyWindow(x, N);
+        fft(x, N, 0);
+        
+        char out_filename[256];
+        sprintf(out_filename, "result_seek_%s.txt", targets[t].vowel);
+        saveAmpSpectrum(out_filename, x, N);
+    }
+
+    fclose(fp2);
+    
+    printf("\nAll analyses finished successfully.\n");
+    return 0;
+}

gemini/README.txt

@@ -0,0 +1,20 @@
+<このフォルダの中身>
+
+kadai.c
+ ... 音声データ分析を一括で行うC言語プログラムソースコード
+     課題1〜4、発展課題1（各自の音声のスペクトログラム可視化）、および考察1のすべての処理を含む
+
+plot.plt
+ ... 分析結果のデータを可視化するための一括gnuplotスクリプト
+     課題1〜4のグラフ、および発展課題1のモノクロ・カラーのスペクトログラムの描画処理を含む
+
+sample01.sw
+ ... 分析対象の信号1(標本化周波数 16kHz, 量子化ビット数 16bit, チャネル数 1ch, ヘッダなし, little-endian)
+     課題1～3において使用
+
+j22330.sw
+ ... レポート作成者本人の音声データ(標本化周波数 16kHz, 量子化ビット数 16bit, チャネル数 1ch, ヘッダなし, little-endian)
+     「あいうえお」の単独発声および連続発声を収録
+     課題4（各母音の分析）および発展課題1（スペクトログラムの可視化）において分析対象として使用
+
+以上。

gemini/kadai.c

@@ -0,0 +1,322 @@
+#define _USE_MATH_DEFINES
+
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <windows.h>
+
+#define LENGTH 512 /* 信号長 ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex;  /* 複素数 */
+
+Complex getComplex(double r, double i) {
+    return (Complex){r, i};
+}
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r * b.r - a.i * b.i, a.r * b.i + a.i * b.r);
+}
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+Complex cexptheta(double theta) {
+    return getComplex(cos(theta), sin(theta));
+}
+
+void applyWindow(Complex *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2.0 * M_PI * i / (N - 1));
+        x[i].r *= w;
+        x[i].i *= w;
+    }
+}
+
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    Complex temp;
+    j = 0;
+    for (i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+        k = N >> 1;
+        while (k <= j && k > 0) {
+            j -= k;
+            k >>= 1;
+        }
+        j += k;
+    }
+}
+
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+    for (int stage = 1; (1 << stage) <= N; stage++) {
+        int block = 1 << stage;
+        int block2 = block >> 1;
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / block;
+        Complex wm = cexptheta(theta);
+
+        for (int k = 0; k < N; k += block) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < block2; j++) {
+                Complex u = x[k + j];
+                Complex v = timeComplex(w, x[k + j + block2]);
+
+                x[k + j] = addComplex(u, v);
+                x[k + j + block2] = subComplex(u, v);
+
+                w = timeComplex(w, wm);
+            }
+        }
+    }
+    if (inverse) {
+        for (int i = 0; i < N; i++)
+            x[i] = divComplexByReal(x[i], N);
+    }
+}
+
+void dft(Complex *x, Complex *c, int N) {
+    for (int k = 0; k < N; k++) {
+        c[k] = getComplex(0.0, 0.0);
+        for (int n = 0; n < N; n++) {
+            double theta = -2.0 * M_PI * k * n / N;
+            Complex w = cexptheta(theta);
+            c[k] = addComplex(c[k], timeComplex(x[n], w));
+        }
+    }
+}
+
+/* 振幅スペクトルの最大値を0dBとしてテキストファイルに出力する関数 */
+void outputSpectrum(const char *fname, Complex *x, int N, double fs) {
+    double max_amp = 0.0;
+    double *amps = malloc((N / 2 + 1) * sizeof(double));
+
+    // 全データの中で最大振幅を探す
+    for (int i = 0; i <= N / 2; i++) {
+        amps[i] = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+        if (amps[i] > max_amp)
+            max_amp = amps[i];
+    }
+
+    FILE *fp = fopen(fname, "w");
+    if (!fp) {
+        free(amps);
+        return;
+    }
+    for (int i = 0; i <= N / 2; i++) {
+        double f = (double)i * fs / N;
+        // 最大振幅を基準(X_b)としてdB値を計算
+        double db = (amps[i] > 0 && max_amp > 0) ? 20.0 * log10(amps[i] / max_amp) : -100.0;
+        fprintf(fp, "%f %f %f\n", f, amps[i], db);
+    }
+    fclose(fp);
+    free(amps);
+}
+
+/* 複素数配列の平均パワーを求める関数 */
+double calcAmpPower(Complex *x, int N) {
+    double amp, power = 0.0;
+    for (int i = 0; i < N; i++) {
+        amp = x[i].r * x[i].r + x[i].i * x[i].i;
+        power += amp;
+    }
+    return power / N;
+}
+
+int main(void) {
+    int N = LENGTH;
+    short input[LENGTH];
+    Complex x_dft[LENGTH], x_fft[LENGTH], c[LENGTH];
+    FILE *fp;
+
+    double fs = 16000.0;
+
+    printf("Processing Kadai 1...\n");
+    fp = fopen("sample01.sw", "rb");
+    if (!fp) {
+        fprintf(stderr, "Cannot open sample01.sw\n");
+        return 1;
+    }
+
+    FILE *out1 = fopen("kadai1.txt", "w");
+    short val;
+    for (int i = 0; i < 480; i++) {
+        if (fread(&val, sizeof(short), 1, fp) != 1)
+           break;
+        double time_ms = (double)i / fs * 1000.0;
+        double norm_val = (double)val / 32768.0;
+        fprintf(out1, "%f %f\n", time_ms, norm_val);
+    }
+    fclose(out1);
+    fclose(fp);
+
+    printf("Processing Kadai 2...\n");
+    fp = fopen("sample01.sw", "rb");
+    fread(input, sizeof(short), N, fp);
+    fclose(fp);
+
+    for (int i = 0; i < N; i++) {
+        x_dft[i] = getComplex(input[i], 0);
+        x_fft[i] = getComplex(input[i], 0);
+    }
+
+    LARGE_INTEGER start, end, freq;
+    QueryPerformanceFrequency(&freq);
+
+    QueryPerformanceCounter(&start);
+    dft(x_dft, c, N);
+    QueryPerformanceCounter(&end);
+    printf("Kadai 2: DFT Elapsed Time: %f s\n", (double)(end.QuadPart - start.QuadPart) / freq.QuadPart);
+
+    QueryPerformanceCounter(&start);
+    fft(x_fft, N, 0);
+    QueryPerformanceCounter(&end);
+    printf("Kadai 2: FFT Elapsed Time: %f s\n", (double)(end.QuadPart - start.QuadPart) / freq.QuadPart);
+
+    outputSpectrum("kadai2_dft.txt", c, N, fs);
+    outputSpectrum("kadai2_fft.txt", x_fft, N, fs);
+
+    printf("Processing Kadai 3...\n");
+    Complex x_win[LENGTH];
+    for (int i = 0; i < N; i++)
+        x_win[i] = getComplex(input[i], 0);
+    applyWindow(x_win, N);
+    fft(x_win, N, 0);
+
+    outputSpectrum("kadai3_window.txt", x_win, N, fs);
+
+    printf("Processing Kadai 4...\n");
+    typedef struct {
+        double time_sec;
+        const char *vowel;
+    } SeekTarget;
+    // 各母音の音声の開始時刻（秒）
+    SeekTarget targets[] = {
+        {0.361, "a"}, {0.969, "i"}, {1.415, "u"}, {1.936, "e"}, {2.431, "o"}
+    };
+
+    fp = fopen("j22330.sw", "rb");
+    if (!fp) {
+        fprintf(stderr, "Cannot open j22330.sw\n");
+        return 1;
+    }
+
+    for (int t = 0; t < 5; t++) {
+        // 開始時刻からファイル上のバイト位置を計算 (16kHz, 16bit=2byte)
+        long start_byte = (long)(targets[t].time_sec * fs * 2);
+        fseek(fp, start_byte, SEEK_SET);
+        if (fread(input, sizeof(short), N, fp) != (size_t)N)
+            continue;
+
+        Complex x_k4[LENGTH];
+        for (int i = 0; i < N; i++)
+            x_k4[i] = getComplex(input[i], 0);
+        applyWindow(x_k4, N);
+        fft(x_k4, N, 0);
+
+        char fname[256];
+        sprintf(fname, "kadai4_%s.txt", targets[t].vowel);
+        outputSpectrum(fname, x_k4, N, fs);
+    }
+    fclose(fp);
+
+    printf("Processing Kosatsu 1...\n");
+    fp = fopen("sample01.sw", "rb");
+    if (!fp) {
+        fprintf(stderr, "Cannot open sample01.sw\n");
+        return 1;
+    }
+    fread(input, sizeof(short), N, fp);
+    fclose(fp);
+
+    Complex x_power[LENGTH];
+    for (int i = 0; i < N; i++)
+        x_power[i] = getComplex(input[i], 0);
+
+    double beforePower, afterPower;
+    beforePower = calcAmpPower(x_power, N);
+    applyWindow(x_power, N);
+    afterPower = calcAmpPower(x_power, N);
+
+    printf("Kosatsu 1: BEFORE : %16f\n", beforePower);
+    printf("Kosatsu 1: AFTER  : %16f\n", afterPower);
+    printf("Kosatsu 1: DIFF   : %16f\n", beforePower - afterPower);
+    printf("Kosatsu 1: RATIO  : %16f\n", afterPower / beforePower);
+
+    printf("Processing Hatten Kadai 1...\n");
+    fp = fopen("j22330.sw", "rb");
+    if (!fp) {
+        fprintf(stderr, "Cannot open j22330.sw\n");
+        return 1;
+    }
+    fseek(fp, 0, SEEK_END);
+    long file_size = ftell(fp);
+    rewind(fp);
+    long total_samples = file_size / sizeof(short);
+    short *all_input = malloc(file_size);
+    if (!all_input) {
+        fprintf(stderr, "Memory allocation failed\n");
+        fclose(fp);
+        return 1;
+    }
+    fread(all_input, sizeof(short), total_samples, fp);
+    fclose(fp);
+
+    int shift = 160; // フレームをずらす間隔 (10ms)
+    double global_max = 0.0;
+    Complex x_hatten[LENGTH];
+
+    // 0dBの基準となる全体の最大振幅を探索
+    for (long i = 0; i <= total_samples - N; i += shift) {
+        for (int j = 0; j < N; j++) {
+            x_hatten[j] = getComplex(all_input[i + j], 0);
+        }
+        applyWindow(x_hatten, N);
+        fft(x_hatten, N, 0);
+
+        for (int j = 0; j <= N / 2; j++) {
+            double amp = sqrt(x_hatten[j].r * x_hatten[j].r + x_hatten[j].i * x_hatten[j].i);
+            if (amp > global_max) {
+                global_max = amp;
+            }
+        }
+    }
+
+    // 各フレームのFFTを実行し、最大振幅を基準としたdB値を出力
+    FILE *out_sp = fopen("spectrogram.txt", "w");
+    if (out_sp && global_max > 0) {
+        for (long i = 0; i <= total_samples - N; i += shift) {
+            double time_sec = (i + N / 2.0) / fs;
+            for (int j = 0; j < N; j++) {
+                x_hatten[j] = getComplex(all_input[i + j], 0);
+            }
+            applyWindow(x_hatten, N);
+            fft(x_hatten, N, 0);
+
+            for (int j = 0; j <= N / 2; j++) {
+                double f = (double)j * fs / N;
+                // 振幅の計算とdB変換 (-90dBで下限クリッピング)
+                double amp = sqrt(x_hatten[j].r * x_hatten[j].r + x_hatten[j].i * x_hatten[j].i);
+                double db = (amp > 0) ? 20.0 * log10(amp / global_max) : -100.0;
+                if (db < -90.0) db = -90.0;
+                fprintf(out_sp, "%f %f %f\n", time_sec, f, db);
+            }
+            fprintf(out_sp, "\n"); // gnuplotのpm3d（面グラフ）描画用に空行を挿入
+        }
+        fclose(out_sp);
+    }
+    free(all_input);
+
+    printf("All Kadai processed.\n");
+    return 0;
+}

gemini/kadai1.txt

@@ -0,0 +1,480 @@
+0.000000 0.629181
+0.062500 0.557068
+0.125000 0.078522
+0.187500 0.078918
+0.250000 0.000000
+0.312500 0.101563
+0.375000 0.564728
+0.437500 0.642700
+0.500000 0.000000
+0.562500 -0.999939
+0.625000 0.000000
+0.687500 -0.249969
+0.750000 0.015869
+0.812500 0.000000
+0.875000 -0.546875
+0.937500 0.591400
+1.000000 0.005463
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+1.125000 0.875275
+1.187500 0.697510
+1.250000 0.003510
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+1.500000 0.013794
+1.562500 0.340485
+1.625000 0.211365
+1.687500 0.000000
+1.750000 -0.467865
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+2.000000 -0.266205
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gemini/plot.plt

@@ -0,0 +1,92 @@
+set terminal pngcairo size 800,600 font "Arial,12"
+
+# 課題1
+set output 'kadai1.png'
+set xlabel "Time [msec]"
+set ylabel "Normalized Amplitude"
+set xrange [0:30]
+set yrange [-1:1]
+set grid
+plot 'kadai1.txt' using 1:2 with lines title "sample01.sw"
+
+# 課題2 (リニア)
+set output 'kadai2_linear.png'
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude"
+set xrange [0:8000]
+set autoscale y
+set grid
+plot 'kadai2_dft.txt' using 1:2 with lines title "DFT", \
+     'kadai2_fft.txt' using 1:2 with lines title "FFT"
+
+# 課題2 (dB)
+set output 'kadai2_db.png'
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude [dB]"
+set xrange [0:8000]
+set yrange [-90:0]
+set grid
+plot 'kadai2_dft.txt' using 1:3 with lines title "DFT", \
+     'kadai2_fft.txt' using 1:3 with lines title "FFT"
+
+# 課題3 (リニア)
+set output 'kadai3_linear.png'
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude"
+set xrange [0:8000]
+set autoscale y
+set grid
+plot 'kadai2_fft.txt' using 1:2 with lines title "No Window", \
+     'kadai3_window.txt' using 1:2 with lines title "Hanning Window"
+
+# 課題3 (dB)
+set output 'kadai3_db.png'
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude [dB]"
+set xrange [0:8000]
+set yrange [-90:0]
+set grid
+plot 'kadai2_fft.txt' using 1:3 with lines title "No Window", \
+     'kadai3_window.txt' using 1:3 with lines title "Hanning Window"
+
+# 課題4 (dB - 各母音個別)
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude [dB]"
+set xrange [0:8000]
+set yrange [-90:0]
+set grid
+
+set output 'kadai4_a_db.png'
+plot 'kadai4_a.txt' using 1:3 with lines title "/a/"
+
+set output 'kadai4_i_db.png'
+plot 'kadai4_i.txt' using 1:3 with lines title "/i/"
+
+set output 'kadai4_u_db.png'
+plot 'kadai4_u.txt' using 1:3 with lines title "/u/"
+
+set output 'kadai4_e_db.png'
+plot 'kadai4_e.txt' using 1:3 with lines title "/e/"
+
+set output 'kadai4_o_db.png'
+plot 'kadai4_o.txt' using 1:3 with lines title "/o/"
+
+# 発展課題1 (スペクトログラム)
+set pm3d map
+set xlabel "Time [sec]"
+set ylabel "Frequency [Hz]"
+set xrange [0:*]
+set yrange [0:8000]
+set zrange [-90:0]
+set cbrange [-90:0]
+set cblabel "Amplitude [dB]"
+
+# モノクロ表示（大きいところが黒、小さいところが白）
+set palette defined (-90 "white", 0 "black")
+set output 'hatten1_mono.png'
+splot 'spectrogram.txt' using 1:2:3 notitle
+
+# カラー表示（Jet風カラーマップ）
+set palette rgbformulae 22,13,-31
+set output 'hatten1_color.png'
+splot 'spectrogram.txt' using 1:2:3 notitle

j22330/README.txt

@@ -0,0 +1,20 @@
+<このフォルダの中身>
+
+kadai.c
+ ... 音声データ分析を一括で行うC言語プログラムソースコード
+     課題1〜4、発展課題1（各自の音声のスペクトログラム可視化）、および考察1のすべての処理を含む
+
+plot.plt
+ ... 分析結果のデータを可視化するための一括gnuplotスクリプト
+     課題1〜4のグラフ、および発展課題1のモノクロ・カラーのスペクトログラムの描画処理を含む
+
+sample01.sw
+ ... 分析対象の信号1(標本化周波数 16kHz, 量子化ビット数 16bit, チャネル数 1ch, ヘッダなし, little-endian)
+     課題1～3において使用
+
+j22330.sw
+ ... レポート作成者本人の音声データ(標本化周波数 16kHz, 量子化ビット数 16bit, チャネル数 1ch, ヘッダなし, little-endian)
+     「あいうえお」の単独発声および連続発声を収録
+     課題4（各母音の分析）および発展課題1（スペクトログラムの可視化）において分析対象として使用
+
+以上。

j22330/kadai.c

@@ -0,0 +1,322 @@
+#define _USE_MATH_DEFINES
+
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <windows.h>
+
+#define LENGTH 512 /* 信号長 ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex;  /* 複素数 */
+
+Complex getComplex(double r, double i) {
+    return (Complex){r, i};
+}
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r * b.r - a.i * b.i, a.r * b.i + a.i * b.r);
+}
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+Complex cexptheta(double theta) {
+    return getComplex(cos(theta), sin(theta));
+}
+
+void applyWindow(Complex *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2.0 * M_PI * i / (N - 1));
+        x[i].r *= w;
+        x[i].i *= w;
+    }
+}
+
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    Complex temp;
+    j = 0;
+    for (i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+        k = N >> 1;
+        while (k <= j && k > 0) {
+            j -= k;
+            k >>= 1;
+        }
+        j += k;
+    }
+}
+
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+    for (int stage = 1; (1 << stage) <= N; stage++) {
+        int block = 1 << stage;
+        int block2 = block >> 1;
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / block;
+        Complex wm = cexptheta(theta);
+
+        for (int k = 0; k < N; k += block) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < block2; j++) {
+                Complex u = x[k + j];
+                Complex v = timeComplex(w, x[k + j + block2]);
+
+                x[k + j] = addComplex(u, v);
+                x[k + j + block2] = subComplex(u, v);
+
+                w = timeComplex(w, wm);
+            }
+        }
+    }
+    if (inverse) {
+        for (int i = 0; i < N; i++)
+            x[i] = divComplexByReal(x[i], N);
+    }
+}
+
+void dft(Complex *x, Complex *c, int N) {
+    for (int k = 0; k < N; k++) {
+        c[k] = getComplex(0.0, 0.0);
+        for (int n = 0; n < N; n++) {
+            double theta = -2.0 * M_PI * k * n / N;
+            Complex w = cexptheta(theta);
+            c[k] = addComplex(c[k], timeComplex(x[n], w));
+        }
+    }
+}
+
+/* 振幅スペクトルの最大値を0dBとしてテキストファイルに出力する関数 */
+void outputSpectrum(const char *fname, Complex *x, int N, double fs) {
+    double max_amp = 0.0;
+    double *amps = malloc((N / 2 + 1) * sizeof(double));
+
+    // 全データの中で最大振幅を探す
+    for (int i = 0; i <= N / 2; i++) {
+        amps[i] = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+        if (amps[i] > max_amp)
+            max_amp = amps[i];
+    }
+
+    FILE *fp = fopen(fname, "w");
+    if (!fp) {
+        free(amps);
+        return;
+    }
+    for (int i = 0; i <= N / 2; i++) {
+        double f = (double)i * fs / N;
+        // 最大振幅を基準(X_b)としてdB値を計算
+        double db = (amps[i] > 0 && max_amp > 0) ? 20.0 * log10(amps[i] / max_amp) : -100.0;
+        fprintf(fp, "%f %f %f\n", f, amps[i], db);
+    }
+    fclose(fp);
+    free(amps);
+}
+
+/* 複素数配列の平均パワーを求める関数 */
+double calcAmpPower(Complex *x, int N) {
+    double amp, power = 0.0;
+    for (int i = 0; i < N; i++) {
+        amp = x[i].r * x[i].r + x[i].i * x[i].i;
+        power += amp;
+    }
+    return power / N;
+}
+
+int main(void) {
+    int N = LENGTH;
+    short input[LENGTH];
+    Complex x_dft[LENGTH], x_fft[LENGTH], c[LENGTH];
+    FILE *fp;
+
+    double fs = 16000.0;
+
+    printf("Processing Kadai 1...\n");
+    fp = fopen("sample01.sw", "rb");
+    if (!fp) {
+        fprintf(stderr, "Cannot open sample01.sw\n");
+        return 1;
+    }
+
+    FILE *out1 = fopen("kadai1.txt", "w");
+    short val;
+    for (int i = 0; i < 480; i++) {
+        if (fread(&val, sizeof(short), 1, fp) != 1)
+           break;
+        double time_ms = (double)i / fs * 1000.0;
+        double norm_val = (double)val / 32768.0;
+        fprintf(out1, "%f %f\n", time_ms, norm_val);
+    }
+    fclose(out1);
+    fclose(fp);
+
+    printf("Processing Kadai 2...\n");
+    fp = fopen("sample01.sw", "rb");
+    fread(input, sizeof(short), N, fp);
+    fclose(fp);
+
+    for (int i = 0; i < N; i++) {
+        x_dft[i] = getComplex(input[i], 0);
+        x_fft[i] = getComplex(input[i], 0);
+    }
+
+    LARGE_INTEGER start, end, freq;
+    QueryPerformanceFrequency(&freq);
+
+    QueryPerformanceCounter(&start);
+    dft(x_dft, c, N);
+    QueryPerformanceCounter(&end);
+    printf("Kadai 2: DFT Elapsed Time: %f s\n", (double)(end.QuadPart - start.QuadPart) / freq.QuadPart);
+
+    QueryPerformanceCounter(&start);
+    fft(x_fft, N, 0);
+    QueryPerformanceCounter(&end);
+    printf("Kadai 2: FFT Elapsed Time: %f s\n", (double)(end.QuadPart - start.QuadPart) / freq.QuadPart);
+
+    outputSpectrum("kadai2_dft.txt", c, N, fs);
+    outputSpectrum("kadai2_fft.txt", x_fft, N, fs);
+
+    printf("Processing Kadai 3...\n");
+    Complex x_win[LENGTH];
+    for (int i = 0; i < N; i++)
+        x_win[i] = getComplex(input[i], 0);
+    applyWindow(x_win, N);
+    fft(x_win, N, 0);
+
+    outputSpectrum("kadai3_window.txt", x_win, N, fs);
+
+    printf("Processing Kadai 4...\n");
+    typedef struct {
+        double time_sec;
+        const char *vowel;
+    } SeekTarget;
+    // 各母音の音声の開始時刻（秒）
+    SeekTarget targets[] = {
+        {0.361, "a"}, {0.969, "i"}, {1.415, "u"}, {1.936, "e"}, {2.431, "o"}
+    };
+
+    fp = fopen("j22330.sw", "rb");
+    if (!fp) {
+        fprintf(stderr, "Cannot open j22330.sw\n");
+        return 1;
+    }
+
+    for (int t = 0; t < 5; t++) {
+        // 開始時刻からファイル上のバイト位置を計算 (16kHz, 16bit=2byte)
+        long start_byte = (long)(targets[t].time_sec * fs * 2);
+        fseek(fp, start_byte, SEEK_SET);
+        if (fread(input, sizeof(short), N, fp) != (size_t)N)
+            continue;
+
+        Complex x_k4[LENGTH];
+        for (int i = 0; i < N; i++)
+            x_k4[i] = getComplex(input[i], 0);
+        applyWindow(x_k4, N);
+        fft(x_k4, N, 0);
+
+        char fname[256];
+        sprintf(fname, "kadai4_%s.txt", targets[t].vowel);
+        outputSpectrum(fname, x_k4, N, fs);
+    }
+    fclose(fp);
+
+    printf("Processing Kosatsu 1...\n");
+    fp = fopen("sample01.sw", "rb");
+    if (!fp) {
+        fprintf(stderr, "Cannot open sample01.sw\n");
+        return 1;
+    }
+    fread(input, sizeof(short), N, fp);
+    fclose(fp);
+
+    Complex x_power[LENGTH];
+    for (int i = 0; i < N; i++)
+        x_power[i] = getComplex(input[i], 0);
+
+    double beforePower, afterPower;
+    beforePower = calcAmpPower(x_power, N);
+    applyWindow(x_power, N);
+    afterPower = calcAmpPower(x_power, N);
+
+    printf("Kosatsu 1: BEFORE : %16f\n", beforePower);
+    printf("Kosatsu 1: AFTER  : %16f\n", afterPower);
+    printf("Kosatsu 1: DIFF   : %16f\n", beforePower - afterPower);
+    printf("Kosatsu 1: RATIO  : %16f\n", afterPower / beforePower);
+
+    printf("Processing Hatten Kadai 1...\n");
+    fp = fopen("j22330.sw", "rb");
+    if (!fp) {
+        fprintf(stderr, "Cannot open j22330.sw\n");
+        return 1;
+    }
+    fseek(fp, 0, SEEK_END);
+    long file_size = ftell(fp);
+    rewind(fp);
+    long total_samples = file_size / sizeof(short);
+    short *all_input = malloc(file_size);
+    if (!all_input) {
+        fprintf(stderr, "Memory allocation failed\n");
+        fclose(fp);
+        return 1;
+    }
+    fread(all_input, sizeof(short), total_samples, fp);
+    fclose(fp);
+
+    int shift = 160; // フレームをずらす間隔 (10ms)
+    double global_max = 0.0;
+    Complex x_hatten[LENGTH];
+
+    // 0dBの基準となる全体の最大振幅を探索
+    for (long i = 0; i <= total_samples - N; i += shift) {
+        for (int j = 0; j < N; j++) {
+            x_hatten[j] = getComplex(all_input[i + j], 0);
+        }
+        applyWindow(x_hatten, N);
+        fft(x_hatten, N, 0);
+
+        for (int j = 0; j <= N / 2; j++) {
+            double amp = sqrt(x_hatten[j].r * x_hatten[j].r + x_hatten[j].i * x_hatten[j].i);
+            if (amp > global_max) {
+                global_max = amp;
+            }
+        }
+    }
+
+    // 各フレームのFFTを実行し、最大振幅を基準としたdB値を出力
+    FILE *out_sp = fopen("spectrogram.txt", "w");
+    if (out_sp && global_max > 0) {
+        for (long i = 0; i <= total_samples - N; i += shift) {
+            double time_sec = (i + N / 2.0) / fs;
+            for (int j = 0; j < N; j++) {
+                x_hatten[j] = getComplex(all_input[i + j], 0);
+            }
+            applyWindow(x_hatten, N);
+            fft(x_hatten, N, 0);
+
+            for (int j = 0; j <= N / 2; j++) {
+                double f = (double)j * fs / N;
+                // 振幅の計算とdB変換 (-90dBで下限クリッピング)
+                double amp = sqrt(x_hatten[j].r * x_hatten[j].r + x_hatten[j].i * x_hatten[j].i);
+                double db = (amp > 0) ? 20.0 * log10(amp / global_max) : -100.0;
+                if (db < -90.0) db = -90.0;
+                fprintf(out_sp, "%f %f %f\n", time_sec, f, db);
+            }
+            fprintf(out_sp, "\n"); // gnuplotのpm3d（面グラフ）描画用に空行を挿入
+        }
+        fclose(out_sp);
+    }
+    free(all_input);
+
+    printf("All Kadai processed.\n");
+    return 0;
+}

j22330/old/FFT-kosatsu1.c

@@ -0,0 +1,76 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+#include<stdlib.h>
+
+#define LENGTH 512 /* 信号長N ただし，2の整数乗 */
+
+/* プロトタイプ宣言 */
+double calcAmpPower(short *x, int N);
+void applyWindow(short *x, int N);
+
+int main(int argc, char *argv[]) {
+    /* 信号長 */
+    int N = LENGTH;
+
+    double beforePower, afterPower;
+
+    int i;
+
+    FILE *fp = NULL;
+    if (argc > 1) {
+        fp = fopen(argv[1], "rb");
+        if (fp == NULL) {
+            fprintf(stderr, "File open error (%s)\n", argv[1]);
+            exit(1);
+        }
+    } else {
+        fprintf(stderr, "Usage: %s input-filename\n", argv[0]);
+        exit(1);
+    }
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+
+    /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", argv[1]);
+        fclose(fp);
+        exit(1);
+    }
+
+    beforePower = calcAmpPower(input, N);
+
+    applyWindow(input, N);
+
+    afterPower = calcAmpPower(input, N);
+
+    printf("BEFORE : %16f\n", beforePower);
+    printf("AFTER  : %16f\n", afterPower);
+    printf("DIFF   : %16f\n", beforePower - afterPower);
+    printf("RATIO  : %16f\n", afterPower / beforePower);
+
+    fclose(fp);
+
+    return 0;
+}
+
+/* short型配列の平均パワーを求める関数 */
+double calcAmpPower(short *x, int N) {
+    double amp;
+    double power = 0.0;
+    for (int i = 0; i < N; i++) {
+        amp = x[i] * x[i];
+        power += amp;
+    }
+    return power / N;
+}
+
+/* 配列にハニング窓を適用 */
+void applyWindow(short *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2 * M_PI * i / (N - 1)); // ハニング窓
+        x[i] *= w;
+    }
+}

j22330/old/FFT.c

@@ -0,0 +1,245 @@
+#define _USE_MATH_DEFINES
+
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <windows.h>
+
+#define LENGTH 512 /* 信号長 ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex;    /* 複素数 */
+
+/* プロトタイプ宣言 */
+void bit_reversal(Complex *x, int N);
+void fft(Complex *x, int N, int inverse);
+void genTwiddleTable(Complex *, int);
+Complex calcTwiddlePower(Complex *, int, int);
+void dft(Complex *, Complex *, int);
+
+Complex getComplex(double r, double i);
+Complex cexptheta(double theta);
+Complex addComplex(Complex a, Complex b);
+Complex subComplex(Complex a, Complex b);
+Complex timeComplex(Complex a, Complex b);
+Complex divComplexByReal(Complex z, double div);
+Complex powComplex(Complex, int);
+
+int main(int argc, char *argv[]) {
+    int N = LENGTH; /* 信号長 */
+    double amp;     /* 振幅 */
+
+    int i;
+
+    /* 時間計測用変数 */
+    LARGE_INTEGER start, end, freq;
+    double elapsedTime;
+    if (!QueryPerformanceFrequency(&freq)) {
+        fprintf(stderr, "High-resolution timer not supported.\n");
+        return 1;
+    }
+
+    FILE *fp = NULL;
+    if (argc > 1) {
+        fp = fopen(argv[1], "rb");
+        if (fp == NULL) {
+            fprintf(stderr, "File open error (%s)\n", argv[1]);
+            exit(1);
+        }
+    } else {
+        fprintf(stderr, "Usage: %s input-filename\n", argv[0]);
+        exit(1);
+    }
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+    Complex x[LENGTH];
+    /* N点DFT係数 */
+    Complex c[LENGTH];
+
+    /* DFT係数の初期化 */
+    for (i = 0; i < N; i++) {
+        c[i] = getComplex(0.0, 0.0);
+    }
+
+    /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", argv[1]);
+        fclose(fp);
+        exit(1);
+    }
+
+    /* 音声データを複素数型に変換 */
+    for (int i = 0; i < N; i++) {
+        x[i] = getComplex(input[i], 0);
+    }
+
+    QueryPerformanceCounter(&start);
+    dft(x, c, N);
+    QueryPerformanceCounter(&end);
+    elapsedTime = (double)(end.QuadPart - start.QuadPart) / freq.QuadPart;
+    printf("DFT Elapsed time: %f seconds\n", elapsedTime);
+
+    QueryPerformanceCounter(&start);
+    fft(x, N, 0);
+    QueryPerformanceCounter(&end);
+    elapsedTime = (double)(end.QuadPart - start.QuadPart) / freq.QuadPart;
+    printf("FFT Elapsed ti82me: %f seconds\n", elapsedTime);
+
+    
+    // for(int i = 0; i < N; i++) {
+    //     amp = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+    //     printf("%f\n", amp);
+    // }
+    
+
+    fclose(fp);
+
+    return 0;
+}
+
+/**
+ * @brief 配列の要素をビット逆順に並べ替える
+ *
+ * @param x 信号配列
+ * @param N 信号長 ただし，2の整数乗
+ */
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    Complex temp;
+    j = 0;
+    for (i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+
+        /* 逆方向カウントアップ */
+        k = N >> 1;
+        while (k <= j && k > 0) { /* もしjのk番目のビットが 1 だったら */
+            j -= k;               /* そのビットを 0 にする */
+            k >>= 1;              /* 次のビットに移る */
+        }
+        j += k; /* 0 を見つけたら 1 にする */
+    }
+}
+
+/**
+ * @brief 高速フーリエ変換
+ *
+ * @param x 入力信号配列
+ * @param N 信号長 ただし，2の整数乗
+ * @param inverse 0ならDFT，1ならIDFT
+ */
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+
+    for (int stage = 1; (1 << stage) <= N; stage++) {
+        int block = 1 << stage;  /* 現在のブロックのサイズ */
+        int block2 = block >> 1; /* ブロックサイズの半分 */
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / block;
+        Complex wm = cexptheta(theta); /* 基本となる回転子 */
+
+        /* 各ブロックの計算 */
+        for (int k = 0; k < N; k += block) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < block2; j++) {
+                /* バタフライ演算の本体 */
+                Complex u = x[k + j]; /* X_0[k] */
+                Complex v =
+                    timeComplex(w, x[k + j + block2]); /* W^k * X_1[k] */
+
+                x[k + j] = addComplex(u, v);
+                x[k + j + block2] = subComplex(u, v);
+
+                w = timeComplex(w, wm);
+            }
+        }
+    }
+
+    /* 逆変換の場合、最後に N で割る */
+    if (inverse) {
+        for (int i = 0; i < N; i++) {
+            x[i] = divComplexByReal(x[i], N);
+        }
+    }
+}
+
+/* 回転子W_Nの0乗からN-1乗を計算 */
+void genTwiddleTable(Complex *W, int N) {
+    int i;
+    for (i = 0; i < N; i++) {
+        W[i] = getComplex(cos(i * 2.0 * M_PI / N), -sin(i * 2.0 * M_PI / N));
+    }
+}
+
+/* 回転子W_Nのn乗のk乗を計算 */
+Complex calcTwiddlePower(Complex *W, int n, int k) {
+    return powComplex(W[n], k);
+}
+
+/* 離散フーリエ変換 */
+void dft(Complex *x, Complex *c, int N) {
+    int k, n;
+    Complex W[LENGTH];
+
+    genTwiddleTable(W, N);
+
+    /* 信号長で反復 */
+    for (k = 0; k < N; k++) {
+        /* シグマループ */
+        for (n = 0; n < N; n++) {
+            c[k] =
+                addComplex(c[k], timeComplex(x[n], calcTwiddlePower(W, k, n)));
+        }
+    }
+}
+
+Complex getComplex(double r, double i) {
+    Complex c;
+    c.r = r;
+    c.i = i;
+    return c;
+}
+
+Complex cexptheta(double theta) { return getComplex(cos(theta), sin(theta)); }
+
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r * b.r - a.i * b.i, a.r * b.i + a.i * b.r);
+}
+
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+
+/* 第一引数の第二引数乗を返す
+ * 第二引数が負の場合は，第一引数の大きさが1のときのみ正しく計算される
+ */
+Complex powComplex(Complex z, int pow) {
+    if (pow == 0)
+        return getComplex(1.0, 0.0);
+
+    int i;
+    int p = (pow > 0) ? pow : -pow;
+    Complex ret = z;
+    for (i = 0; i < p - 1; i++) {
+        ret = timeComplex(ret, z);
+    }
+
+    /* |z|==1のとき，zの-1乗はzの共役複素数 */
+    if (pow < 0)
+        ret.i = -ret.i;
+
+    return ret;
+}

j22330/old/FFT3.c

@@ -0,0 +1,268 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+#include<stdlib.h>
+
+#define LENGTH 512 /* 信号長N ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex; /* 複素数 */
+
+/* プロトタイプ宣言 */
+Complex getComplex(double r, double i);
+void bit_reversal(Complex *x, int N);
+void fft(Complex *x, int N, int inverse);
+void genTwiddleTable(Complex*, int);
+Complex calcTwiddlePower(Complex*, int, int);
+void dft(Complex*, Complex*, int);
+void applyWindow(Complex *x, int N);
+Complex cexptheta(double theta);
+Complex addComplex(Complex a, Complex b);
+Complex subComplex(Complex a, Complex b);
+Complex timeComplex(Complex a, Complex b);
+Complex divComplexByReal(Complex z, double div);
+Complex powComplex(Complex, int);
+void printComplex(Complex z);
+void printTable(char *name, char index, Complex *z, int N);
+
+int main(int argc, char *argv[]) {
+    /* 信号長 */
+    int N = LENGTH;
+    double amp;
+
+    int i;
+
+    FILE *fp = NULL;
+    /* file open */
+    if ( argc > 1 ) {
+        fp = fopen ( argv[1], "rb" );
+        if ( fp == NULL ) {
+            fprintf ( stderr, "File open error (%s)\n", argv[1] );
+            exit ( 1 );
+        }
+    } else {
+        fprintf ( stderr, "Usage: %s input-filename\n", argv[0] );
+        exit ( 1 );
+    }
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+    Complex x[LENGTH];
+    /* N点DFT係数 */
+    Complex c[LENGTH];
+
+    for(i = 0; i < N; i++) {
+        c[i] = getComplex(0.0, 0.0);
+    }
+
+    /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", argv[1]);
+        fclose(fp);
+        exit(1);
+    }
+
+    /* 音声データを複素数領域に変換 */
+    for(int i = 0; i < N; i++) {
+        x[i] = getComplex(input[i], 0);
+    }
+
+    applyWindow(x, N);
+
+    fft(x, N, 0);
+    
+    for(int i = 0; i < N; i++) {
+        amp = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+        printf("%f\n", amp);
+    }
+    
+
+    fclose(fp);
+
+    return 0;
+}
+
+/* 第一引数を実部，第二引数を虚部とする複素数を返す */
+Complex getComplex(double r, double i) {
+    Complex c;
+    c.r = r;
+    c.i = i;
+    return c;
+}
+
+/**
+ * @brief 配列の要素をビット逆順に並べ替える
+ *
+ * @param x 信号配列
+ * @param N 信号長 ただし，2の整数乗
+ */
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    j = 0;
+    Complex temp;
+    for(i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+
+        k = N >> 1;
+
+        while (k <= j && k > 0) {
+            j -= k;
+            k >>= 1;
+        }
+        j += k;
+    }
+
+}
+
+/**
+ * @brief 高速フーリエ変換
+ *
+ * @param x 入力信号配列
+ * @param N 信号長 ただし，2の整数乗
+ * @param inverse 0ならDFT，1ならIDFT
+ */
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+
+    for (int s = 1; (1 << s) <= N; s++) {
+        int m = 1 << s;           // 現在のブロックのサイズ
+        int m2 = m >> 1;          // ブロックサイズの半分
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / m;
+        Complex wm = cexptheta(theta); // 基本となる回転因子
+
+        // 各ブロックの計算
+        for (int k = 0; k < N; k += m) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < m2; j++) {
+                // バタフライ演算の本体
+                Complex u = x[k + j];
+                Complex v = timeComplex(w, x[k + j + m2]);
+
+                x[k + j] = addComplex(u, v);      // 上側
+                x[k + j + m2] = subComplex(u, v); // 下側
+
+                w = timeComplex(w, wm); // 回転因子を更新
+            }
+        }
+    }
+
+    // 3. 逆変換の場合、最後に n で割る
+    if (inverse) {
+        for (int i = 0; i < N; i++) {
+            x[i] = divComplexByReal(x[i], N);
+        }
+    }
+}
+
+/* 回転子W_Nの0乗からN-1乗を計算 */
+void genTwiddleTable(Complex *W, int N) {
+    int i;
+    for (i = 0; i < N; i++) {
+        W[i] = getComplex(cos(i * 2.0 * M_PI / N), -sin(i * 2.0 * M_PI / N));
+    }
+}
+
+/* 回転子W_Nのn乗のk乗を計算 */
+Complex calcTwiddlePower(Complex *W, int n, int k) {
+    return powComplex(W[n], k);
+}
+
+/* 離散フーリエ変換 */
+void dft(Complex *x, Complex *c, int N) {
+    int k, n;
+    Complex W[LENGTH];
+
+    genTwiddleTable(W, N);
+
+    /* 信号長で反復 */
+    for(k = 0; k < N; k++) {
+        /* シグマループ */
+        for(n = 0; n < N; n++) {
+            c[k] = addComplex(
+                c[k],
+                timeComplex(
+                    x[n],
+                    calcTwiddlePower(
+                        W, k, n
+                    )
+                )
+            );
+        }
+    }
+}
+
+/* 配列にハニング窓を適用 */
+void applyWindow(Complex *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2 * M_PI * i / (N - 1)); // ハニング窓
+        x[i].r *= w;
+        x[i].i *= w;
+    }
+}
+
+Complex cexptheta(double theta) {
+    return getComplex(cos(theta), sin(theta));
+}
+
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r*b.r - a.i*b.i, a.r*b.i+a.i*b.r);
+}
+
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}
+
+/* 第一引数の第二引数乗を返す
+ * 第二引数が負の場合は，第一引数の大きさが1のときのみ正しく計算される
+ */
+Complex powComplex(Complex z, int pow) {
+    if(pow == 0) return getComplex(1.0, 0.0);
+
+    int i;
+    int p = (pow > 0) ? pow : -pow;
+    Complex ret = z;
+    for(i = 0; i < p-1; i++) {
+        ret = timeComplex(ret, z);
+    }
+
+    /* |z|==1のとき，zの-1乗はzの共役複素数 */
+    if(pow < 0)
+        ret.i = -ret.i;
+
+    return ret;
+}
+
+/* 複素数出力 */
+void printComplex(Complex z) {
+    if(z.i < 0) {
+        printf("%f-j%f\n", z.r, -z.i);
+    } else {
+        printf("%f+j%f\n", z.r, z.i);
+    }
+}
+
+/* 複素数テーブル出力 */
+void printTable(char *name, char index, Complex *z, int N) {
+    int i;
+    printf("----- BEGIN %s TABLE -----\n", name);
+    for(i = 0; i < N; i++) {
+        printf("%c = %d : ", index, i);
+        printComplex(z[i]);
+    }
+    printf("----- END %s TABLE -----\n", name);
+}

j22330/old/FFT4.c

@@ -0,0 +1,182 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+#include<stdlib.h>
+
+#define LENGTH 512 /* 信号長 ただし，2の整数乗 */
+
+typedef struct {
+    double r; /* 実部 */
+    double i; /* 虚部 */
+} Complex; /* 複素数 */
+
+/* プロトタイプ宣言 */
+Complex getComplex(double r, double i);
+void bit_reversal(Complex *x, int N);
+void fft(Complex *x, int N, int inverse);
+void applyWindow(Complex *x, int N);
+
+Complex cexptheta(double theta);
+Complex addComplex(Complex a, Complex b);
+Complex subComplex(Complex a, Complex b);
+Complex timeComplex(Complex a, Complex b);
+Complex divComplexByReal(Complex z, double div);
+
+int main() {
+    int N = LENGTH; /* 信号長 */
+    double amp; /* 振幅 */
+
+    int i;
+
+    double start_sec = 2.454; /* 読み込む音声の開始位置 [秒] */
+
+    long fs = 16000; /* 標本化周波数 */
+    long bytes_per_sample = 2; /* 16bitなので2バイト */
+    long start_byte = (long)(start_sec * fs * bytes_per_sample);    /* 指定時刻の開始位置バイト */
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+    Complex x[LENGTH];
+
+    FILE *fp = fopen ( "j22330.sw", "rb" );
+    if ( fp == NULL ) {
+        fprintf ( stderr, "File open error (j22330.sw)\n" );
+        exit ( 1 );
+    }
+
+    /* 読み込む位置にファイルポインタを移動 */
+    fseek(fp, start_byte, SEEK_SET);
+        /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (j22330.sw)\n");
+        fclose(fp);
+        exit(1);
+    }
+
+    /* 音声データを複素数型に変換 */
+    for(i = 0; i < N; i++) {
+        x[i] = getComplex(input[i], 0);
+    }
+
+    /* 窓関数の適用 */
+    applyWindow(x, N);
+
+    /* FFTの実行 */
+    fft(x, N, 0);
+    
+    /* 振幅スペクトルの出力 */
+    for(i = 0; i < N; i++) {
+        amp = sqrt(x[i].r * x[i].r + x[i].i * x[i].i);
+        printf("%f\n", amp);
+    }
+    
+
+    fclose(fp);
+
+    return 0;
+}
+
+/**
+ * @brief 配列の要素をビット逆順に並べ替える
+ *
+ * @param x 信号配列
+ * @param N 信号長 ただし，2の整数乗
+ */
+void bit_reversal(Complex *x, int N) {
+    int i, j, k;
+    Complex temp;
+    j = 0;
+    for(i = 0; i < N; i++) {
+        if (i < j) {
+            temp = x[i];
+            x[i] = x[j];
+            x[j] = temp;
+        }
+
+        /* 逆方向カウントアップ */
+        k = N >> 1;
+        while (k <= j && k > 0) {   /* もしjのk番目のビットが 1 だったら */
+            j -= k; /* そのビットを 0 にする */
+            k >>= 1;    /* 次のビットに移る */
+        }
+        j += k; /* 0 を見つけたら 1 にする */
+    }
+
+}
+
+/**
+ * @brief 高速フーリエ変換
+ *
+ * @param x 入力信号配列
+ * @param N 信号長 ただし，2の整数乗
+ * @param inverse 0ならDFT，1ならIDFT
+ */
+void fft(Complex *x, int N, int inverse) {
+    bit_reversal(x, N);
+
+    for (int stage = 1; (1 << stage) <= N; stage++) {
+        int block = 1 << stage; /* 現在のブロックのサイズ */
+        int block2 = block >> 1;    /* ブロックサイズの半分 */
+        double theta = (inverse ? 2.0 : -2.0) * M_PI / block;
+        Complex wm = cexptheta(theta);  /* 基本となる回転子 */
+
+        /* 各ブロックの計算 */
+        for (int k = 0; k < N; k += block) {
+            Complex w = getComplex(1.0, 0);
+            for (int j = 0; j < block2; j++) {
+                /* バタフライ演算の本体 */
+                Complex u = x[k + j];   /* X_0[k] */
+                Complex v = timeComplex(w, x[k + j + block2]);  /* W^k * X_1[k] */
+
+                x[k + j] = addComplex(u, v);
+                x[k + j + block2] = subComplex(u, v);
+
+                w = timeComplex(w, wm);
+            }
+        }
+    }
+
+    /* 逆変換の場合、最後に N で割る */
+    if (inverse) {
+        for (int i = 0; i < N; i++) {
+            x[i] = divComplexByReal(x[i], N);
+        }
+    }
+}
+
+/* 配列にハニング窓を適用 */
+void applyWindow(Complex *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2 * M_PI * i / (N - 1));
+        x[i].r *= w;
+        x[i].i *= w;
+    }
+}
+
+Complex getComplex(double r, double i) {
+    Complex c;
+    c.r = r;
+    c.i = i;
+    return c;
+}
+
+Complex cexptheta(double theta) {
+    return getComplex(cos(theta), sin(theta));
+}
+
+Complex addComplex(Complex a, Complex b) {
+    return getComplex(a.r + b.r, a.i + b.i);
+}
+
+Complex subComplex(Complex a, Complex b) {
+    return getComplex(a.r - b.r, a.i - b.i);
+}
+
+Complex timeComplex(Complex a, Complex b) {
+    return getComplex(a.r*b.r - a.i*b.i, a.r*b.i+a.i*b.r);
+}
+
+Complex divComplexByReal(Complex z, double div) {
+    return getComplex(z.r / div, z.i / div);
+}

j22330/old/README.txt

@@ -0,0 +1,34 @@
+<このフォルダの中身>
+
+kadai1.plt
+ ... 課題01（バイナリファイルの読み込み）で使用するgnuplotスクリプトファイル
+     分析対象の信号をプロットするために使用
+
+data.plt
+ ... 各課題で使用するgnuplotスクリプトファイル
+     output.txtにあるN行1列のデータを，横軸Frequency [kHz]，縦軸Amplitude [-]でプロットするために使用
+
+data-log.plt
+ ... 各課題で使用するgnuplotスクリプトファイル
+     output.txtにあるN行1列のデータを，横軸Frequency [kHz]，縦軸Amplitude [dB]でプロットするために使用
+
+FFT.c
+ ... 入力データに離散フーリエ変換を行うC言語プログラムファイル
+     課題02（DFTおよびFFTによる振幅スペクトルの計算と可視化）で使用
+     fft関数とdft関数が実装されている
+     課題02以降の課題はこのファイルを元にして作成した
+
+FFT3.c
+ ...　課題03（窓関数の導入）で使用するC言語プログラムファイル
+    　窓関数を適用できるようにしたもの
+
+FFT4.c
+ ... 課題04（各自の音声の周波数分析）で使用するC言語プログラムファイル
+     入力データファイルをj22330.swに限定した代わりに，開始時刻を指定できるようにしたもの
+
+power.c
+ ... 考察01（窓関数適用による振幅値の減少）で使用するC言語プログラムファイル
+     入力信号の平均パワーを計算できるようにしたもの
+     fft関数とdft関数は消去されている
+
+以上。

j22330/old/data-log.plt

@@ -0,0 +1,16 @@
+set term png
+set output "output.png"
+
+fs = 16000.0
+N_fft = 512.0
+
+set xlabel "Frequency [kHz]"
+set ylabel "Amplitude [dB]"
+
+stats "output.txt" using 1 nooutput
+
+set xrange [0:8]
+set grid
+
+plot "output.txt" using ($0 * fs / N_fft / 1000):(20 * log10(($1 > 1e-10 ? $1 : 1e-10) / STATS_max)) \
+    with lines notitle

j22330/old/data.plt

@@ -0,0 +1,15 @@
+set term png
+set output "output.png"
+
+fs = 16000.0
+N_fft = 512.0
+
+set xlabel "Frequency [kHz]"
+set ylabel "Amplitude"
+
+set xrange [0:8]
+set grid
+
+plot "output.txt" using ($0 * fs / N_fft / 1000):1 \
+    with lines notitle
+

j22330/old/kadai1.plt

@@ -0,0 +1,18 @@
+set term png
+
+set output "kadai1.png"
+
+fs = 16000.0
+
+set xlabel "time [msec]"
+set ylabel "amplitude"
+
+set xrange [0:30]
+set yrange [-1:1]
+
+set size ratio 0.3
+
+plot "sample01.sw" binary format="%int16" every ::::479 \
+    using ($0 * 1000.0 / fs):($1/32767.0) \
+    with lines notitle
+

j22330/old/power.c

@@ -0,0 +1,76 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+#include<stdlib.h>
+
+#define LENGTH 512 /* 信号長N ただし，2の整数乗 */
+
+/* プロトタイプ宣言 */
+double calcAmpPower(short *x, int N);
+void applyWindow(short *x, int N);
+
+int main(int argc, char *argv[]) {
+    /* 信号長 */
+    int N = LENGTH;
+
+    double beforePower, afterPower;
+
+    int i;
+
+    FILE *fp = NULL;
+    if (argc > 1) {
+        fp = fopen(argv[1], "rb");
+        if (fp == NULL) {
+            fprintf(stderr, "File open error (%s)\n", argv[1]);
+            exit(1);
+        }
+    } else {
+        fprintf(stderr, "Usage: %s input-filename\n", argv[0]);
+        exit(1);
+    }
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+
+    /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", argv[1]);
+        fclose(fp);
+        exit(1);
+    }
+
+    beforePower = calcAmpPower(input, N);
+
+    applyWindow(input, N);
+
+    afterPower = calcAmpPower(input, N);
+
+    printf("BEFORE : %16f\n", beforePower);
+    printf("AFTER  : %16f\n", afterPower);
+    printf("DIFF   : %16f\n", beforePower - afterPower);
+    printf("RATIO  : %16f\n", afterPower / beforePower);
+
+    fclose(fp);
+
+    return 0;
+}
+
+/* short型配列の平均パワーを求める関数 */
+double calcAmpPower(short *x, int N) {
+    double amp;
+    double power = 0.0;
+    for (int i = 0; i < N; i++) {
+        amp = x[i] * x[i];
+        power += amp;
+    }
+    return power / N;
+}
+
+/* 配列にハニング窓を適用 */
+void applyWindow(short *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2 * M_PI * i / (N - 1)); // ハニング窓
+        x[i] *= w;
+    }
+}

j22330/plot.plt

@@ -0,0 +1,92 @@
+set terminal pngcairo size 800,600 font "Arial,12"
+
+# 課題1
+set output 'kadai1.png'
+set xlabel "Time [msec]"
+set ylabel "Normalized Amplitude"
+set xrange [0:30]
+set yrange [-1:1]
+set grid
+plot 'kadai1.txt' using 1:2 with lines title "sample01.sw"
+
+# 課題2 (リニア)
+set output 'kadai2_linear.png'
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude"
+set xrange [0:8000]
+set autoscale y
+set grid
+plot 'kadai2_dft.txt' using 1:2 with lines title "DFT", \
+     'kadai2_fft.txt' using 1:2 with lines title "FFT"
+
+# 課題2 (dB)
+set output 'kadai2_db.png'
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude [dB]"
+set xrange [0:8000]
+set yrange [-90:0]
+set grid
+plot 'kadai2_dft.txt' using 1:3 with lines title "DFT", \
+     'kadai2_fft.txt' using 1:3 with lines title "FFT"
+
+# 課題3 (リニア)
+set output 'kadai3_linear.png'
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude"
+set xrange [0:8000]
+set autoscale y
+set grid
+plot 'kadai2_fft.txt' using 1:2 with lines title "No Window", \
+     'kadai3_window.txt' using 1:2 with lines title "Hanning Window"
+
+# 課題3 (dB)
+set output 'kadai3_db.png'
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude [dB]"
+set xrange [0:8000]
+set yrange [-90:0]
+set grid
+plot 'kadai2_fft.txt' using 1:3 with lines title "No Window", \
+     'kadai3_window.txt' using 1:3 with lines title "Hanning Window"
+
+# 課題4 (dB - 各母音個別)
+set xlabel "Frequency [Hz]"
+set ylabel "Amplitude [dB]"
+set xrange [0:8000]
+set yrange [-90:0]
+set grid
+
+set output 'kadai4_a_db.png'
+plot 'kadai4_a.txt' using 1:3 with lines title "/a/"
+
+set output 'kadai4_i_db.png'
+plot 'kadai4_i.txt' using 1:3 with lines title "/i/"
+
+set output 'kadai4_u_db.png'
+plot 'kadai4_u.txt' using 1:3 with lines title "/u/"
+
+set output 'kadai4_e_db.png'
+plot 'kadai4_e.txt' using 1:3 with lines title "/e/"
+
+set output 'kadai4_o_db.png'
+plot 'kadai4_o.txt' using 1:3 with lines title "/o/"
+
+# 発展課題1 (スペクトログラム)
+set pm3d map
+set xlabel "Time [sec]"
+set ylabel "Frequency [Hz]"
+set xrange [0:*]
+set yrange [0:8000]
+set zrange [-90:0]
+set cbrange [-90:0]
+set cblabel "Amplitude [dB]"
+
+# モノクロ表示（大きいところが黒、小さいところが白）
+set palette defined (-90 "white", 0 "black")
+set output 'hatten1_mono.png'
+splot 'spectrogram.txt' using 1:2:3 notitle
+
+# カラー表示（Jet風カラーマップ）
+set palette rgbformulae 22,13,-31
+set output 'hatten1_color.png'
+splot 'spectrogram.txt' using 1:2:3 notitle

kadai2 copy.plot

@@ -0,0 +1,16 @@
+set term png
+
+set output "kadai2-1dft.png"
+
+fs = 16000.0
+N_fft = 512.0
+
+set xlabel "Frequency [kHz]"
+set ylabel "Amplitude"
+
+set xrange [0:8]
+set grid
+
+plot "sample01_dft.txt" using ($0 * fs / N_fft / 1000):1 \
+    with lines notitle
+

kadai2.plot

@@ -0,0 +1,16 @@
+set term png
+set output "kadai4-o_log.png"
+
+fs = 16000.0
+N_fft = 512.0
+
+set xlabel "Frequency [kHz]"
+set ylabel "Amplitude [dB]"
+
+stats "kadai4_o.txt" using 1 nooutput
+
+set xrange [0:8]
+set grid
+
+plot "kadai4_o.txt" using ($0 * fs / N_fft / 1000):(20 * log10(($1 > 1e-10 ? $1 : 1e-10) / STATS_max)) \
+    with lines notitle

kadai3.txt

@@ -0,0 +1,512 @@
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kadai4_a.txt

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kadai4_e.txt

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power.c

@@ -0,0 +1,76 @@
+#define _USE_MATH_DEFINES
+
+#include<stdio.h>
+#include<math.h>
+#include<stdlib.h>
+
+#define LENGTH 512 /* 信号長N ただし，2の整数乗 */
+
+/* プロトタイプ宣言 */
+double calcAmpPower(short *x, int N);
+void applyWindow(short *x, int N);
+
+int main(int argc, char *argv[]) {
+    /* 信号長 */
+    int N = LENGTH;
+
+    double beforePower, afterPower;
+
+    int i;
+
+    FILE *fp = NULL;
+    if (argc > 1) {
+        fp = fopen(argv[1], "rb");
+        if (fp == NULL) {
+            fprintf(stderr, "File open error (%s)\n", argv[1]);
+            exit(1);
+        }
+    } else {
+        fprintf(stderr, "Usage: %s input-filename\n", argv[0]);
+        exit(1);
+    }
+
+    /* 入力信号配列 */
+    short input[LENGTH];
+
+    /* 音声データを読み込み */
+    if (fread(input, sizeof(short), N, fp) != (size_t)N) {
+        fprintf(stderr, "File read error (%s)\n", argv[1]);
+        fclose(fp);
+        exit(1);
+    }
+
+    beforePower = calcAmpPower(input, N);
+
+    applyWindow(input, N);
+
+    afterPower = calcAmpPower(input, N);
+
+    printf("BEFORE : %16f\n", beforePower);
+    printf("AFTER  : %16f\n", afterPower);
+    printf("DIFF   : %16f\n", beforePower - afterPower);
+    printf("RATIO  : %16f\n", afterPower / beforePower);
+
+    fclose(fp);
+
+    return 0;
+}
+
+/* short型配列の平均パワーを求める関数 */
+double calcAmpPower(short *x, int N) {
+    double amp;
+    double power = 0.0;
+    for (int i = 0; i < N; i++) {
+        amp = x[i] * x[i];
+        power += amp;
+    }
+    return power / N;
+}
+
+/* 配列にハニング窓を適用 */
+void applyWindow(short *x, int N) {
+    for (int i = 0; i < N; i++) {
+        double w = 0.5 - 0.5 * cos(2.0 * M_PI * i / (N - 1)); // ハニング窓
+        x[i] *= w;
+    }
+}

result_amp_file1.txt

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