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@ruoyu0088
Created February 13, 2025 07:29
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{
"cells": [
{
"cell_type": "markdown",
"id": "f03aab3d-5de0-48a4-ac47-8c9aa1ece95f",
"metadata": {},
"source": [
"### **スペクトルリーク (Spectral Leakage) の説明**\n",
"\n",
"#### **1. スペクトルリークとは?**\n",
"FFT(高速フーリエ変換)を使って信号の周波数成分を分析する際、信号の周波数がFFTの基本周波数の整数倍でない場合、エネルギーが本来の周波数成分だけでなく、周囲の周波数成分にも広がってしまう現象を **スペクトルリーク (Spectral Leakage)** と呼びます。\n",
"\n",
"#### **2. なぜスペクトルリークが発生するのか?**\n",
"FFTは有限長(`N`ポイント)の信号を扱うため、実際には信号を `N` 点で切り取ることになります。これを数学的には「矩形窓(Rectangular Window)」をかけることと同じです。\n",
"\n",
"このとき、FFTの基本周波数 `f_bin = fs / N` の整数倍の周波数であれば、信号はちょうど1周期または整数周期分が含まれるため、明確なピークが観測されます。しかし、非整数倍の周波数では、信号が区間の端で連続しないため、周期的な不連続が生じ、結果として周波数成分が拡散してしまいます。 \n",
"(FFTは周期的に信号を繰り返す前提で計算されるため、区間の端がつながらないと誤差が生じます。)\n",
"\n",
"#### **3. 例**\n",
"プログラムでは以下の2つの信号を用意しました。\n",
"\n",
"- **15.625 Hz(基本周波数の整数倍):** FFTの解析区間と信号の周期が一致し、スペクトルはシャープなピークになります。\n",
"- **16.125 Hz(非整数倍):** FFTの解析区間と信号の周期がずれており、スペクトルが広がって見えます(リークが発生)。\n",
"\n",
"#### **4. スペクトルリークの対策**\n",
"スペクトルリークを抑える方法として、以下の対策があります。\n",
"\n",
"1. **窓関数 (Window Function) を適用する** \n",
" - ハニング窓 (Hann Window) やハミング窓 (Hamming Window) などを使うと、信号の区間端の不連続性を緩和し、リークを低減できます。\n",
" \n",
"2. **FFTの区間長を調整する** \n",
" - 信号の周波数がFFTの基本周波数 `fs / N` の整数倍になるように `N` を調整する。\n",
" \n",
"3. **ゼロパディング (Zero Padding) を行う** \n",
" - FFTのポイント数 `N` を増やして周波数分解能を上げると、リークの影響を軽減できる。\n",
"\n",
"#### **5. まとめ**\n",
"スペクトルリークはFFTの区間長と信号の周期が一致しないときに発生する現象であり、エネルギーが周囲の周波数に広がってしまいます。 \n",
"この影響を減らすためには、窓関数の適用やFFTの設定調整が有効です。"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "4e29f646-d8c1-4078-8742-22259515da0c",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1000x500 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# パラメータ設定\n",
"fs = 1000 # サンプリング周波数 (Hz)\n",
"N = 1024 # FFTのポイント数 (窓の長さ)\n",
"t = np.arange(N) / fs # 時間軸\n",
"\n",
"# 整数倍の周波数 (スペクトルリークなし)\n",
"f1 = fs / 64 \n",
"signal1 = np.sin(2 * np.pi * f1 * t)\n",
"\n",
"# 非整数倍の周波数 (スペクトルリーク発生)\n",
"f2 = f1 + 0.5\n",
"signal2 = np.sin(2 * np.pi * f2 * t)\n",
"\n",
"# FFT計算\n",
"freqs = np.fft.fftfreq(N, d=1/fs) # 周波数軸\n",
"spectrum1 = np.fft.fft(signal1)\n",
"spectrum2 = np.fft.fft(signal2)\n",
"\n",
"# 振幅スペクトルをプロット\n",
"fig, axes = plt.subplots(2, 2, figsize=(10, 5))\n",
"axes[0, 0].loglog(freqs[:N//2], np.abs(spectrum1[:N//2]) / N, label=f\"{f1} Hz\")\n",
"axes[0, 1].loglog(freqs[:N//2], np.abs(spectrum2[:N//2]) / N, label=f\"{f2} Hz\", color='r')\n",
"for ax, label in zip(axes[0, :], ['with', 'without']):\n",
" ax.set_xlabel(\"Frequency (Hz)\")\n",
" ax.set_ylabel(\"Amplitude\")\n",
" ax.set_title(f\"FFT {label} Spectral Leakage\")\n",
" ax.legend()\n",
"\n",
"for ax in axes[1, :]:\n",
" ax.set_xlabel('Time (sec)')\n",
"\n",
"axes[1, 0].plot(t, signal1)\n",
"axes[1, 1].plot(t, signal2, color='red')\n",
"for ax in axes.ravel():\n",
" ax.grid()\n",
"\n",
"fig.subplots_adjust(hspace=0.4)"
]
}
],
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"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
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"codemirror_mode": {
"name": "ipython",
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"file_extension": ".py",
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"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
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},
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