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@nkon
Created October 13, 2018 14:09
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FIR と移動平均を比較する
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# FIR と移動平均を比較する\n",
"組み込みプログラミングの分野ではセンサからの入力を扱うことが多い。センサからの入力はノイズが乗っていることが多い。当然、ノイズを減らしたい。良くある手段としては移動平均がある。一方、大学などでフィルタ理論としてFIRフィルタなどを学ぶ。よく考えてみれば、移動平均は係数がすべて同じであるFIRフィルタの一種である。大学で学んだFIRフィルタ理論が役に立つかどうか、検証してみよう。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## FIRフィルタ\n",
"FIRフィルタの簡易的な設計手法に窓関数法がある。\n",
"\n",
"1. まず、カットオフ以下の周波数はパスし、カットオフ以上の周波数を完全にカットする、矩形特性のLPFを考える。\n",
"2. 矩形特性のLPFのインパルス応答はSinc関数になる。\n",
"3. Sinc関数は0を中心として無限に広がっているので、FFTと同様の窓関数を掛けて有限化する。\n",
"\n",
"幸いにも scipy にライブラリがあるので、上記のことは簡単に実装できる。"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import scipy.signal\n",
"from pylab import *\n",
"import matplotlib.pylab as plt\n",
"\n",
"# 周波数応答を表示する。fs=1 と正規化されたプロット。\n",
"def plot_fir_response(b, lbl):\n",
" b = list(b)\n",
" N = 1024 # 応答を計算するためのFFTのサンプル数\n",
" \n",
" for i in range(N):\n",
" b.append(0.0) # 係数が少ない場合FFTが計算できないので 0.0 で埋める\n",
" \n",
" # フィルタ係数の周波数特性を計算する\n",
" B = np.fft.fft(b[0:N])\n",
" freq_list = np.fft.fftfreq(N)\n",
" response = [20*log10(np.sqrt(c.real ** 2 + c.imag ** 2)) for c in B]\n",
" \n",
" n = len(freq_list) // 2\n",
" plt.xscale(\"log\")\n",
" plt.plot(freq_list[:n], response[:n], label = lbl)\n",
" plt.axis([0.01, 0.5, -100, 5])\n",
" plt.xlabel(\"Normalized Frequency[1/Hz]\")\n",
" plt.ylabel(\"Gain[dB]\")\n",
" plt.legend()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"まずは、標準的なLPFを窓関数を変えながら設計してみよう。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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pIbPqKzj/+CZ+/cpuhod1PS1l8qEioigl5v2nzqK1O8aqHZ2lNkVRCkZFRFFKzLsWTycS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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f6498596c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_taps = 51\n",
"# Hamming 窓\n",
"b_hamming = scipy.signal.firwin(n_taps, 0.1, None, 'hamming')\n",
"plot_fir_response(b_hamming, \"hamming\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"うまく動いているようだ。\n",
"いろいろな窓関数を重ね書きしてみる"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zIUZfG+FIFKMhLYHgaYe/XQZ1H6NpJhbPOY6PGj9CSokQYmQcVhwxDCWdtTb2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\nYrFMm/8PnDKPu2AE6z0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646b6ba1d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b_hamming = scipy.signal.firwin(n_taps, 0.1, None, 'hamming')\n",
"b_hann = scipy.signal.firwin(n_taps, 0.1, None, 'hann')\n",
"b_blackman = scipy.signal.firwin(n_taps, 0.1, None, 'blackman')\n",
"plot_fir_response(b_hamming, \"hamming\")\n",
"plot_fir_response(b_hann, \"hann\")\n",
"plot_fir_response(b_blackman, \"blackman\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hann窓が肩特性と広域の減衰の両方で良さそうだ。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"移動平均の係数を計算する。"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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YQkQSxUU6+v3gHKgstg31sHLG+AonHBZj3PqJbk8Ax/v8mDCElsg4ef1HbIaW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\nmH8B9qL7i5f2c2MAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646ba2c828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def calc_moving_average(n_tap):\n",
" b = []\n",
" for i in range(n_tap):\n",
" b.append(1.0/n_tap)\n",
" return b\n",
"\n",
"b_ma = calc_moving_average(n_taps)\n",
"plot_fir_response(b_ma, \"moving_average\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"FIRと比べるとフィルタ特性としてはヘボい。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"しかし、移動平均がよく使われる少タップ数で比べてみよう。\n",
"\n",
"n_tap = 5, 13, 30"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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hxNwUr+cAFEX5L+DTwFUx3xxAM5DcXSiP7UtV/v1CiCVCiCUFBSfOCmknMiWZ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\nsAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646b577be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b_ma_5 = calc_moving_average(5)\n",
"b_ma_13 = calc_moving_average(13)\n",
"b_ma_31 = calc_moving_average(31)\n",
"\n",
"plot_fir_response(b_ma_5, \"ma5\")\n",
"plot_fir_response(b_ma_13, \"ma13\")\n",
"plot_fir_response(b_ma_31, \"ma31\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"n=5は感覚的によく使われる。\n",
"n=13以上大きくなるとディレイが心配だ。\n",
"n=30は50Hzと60Hzの最小公倍数なのでよく使われるが、偶数なのでフィルタ特性計算でゼロ割例外が出るので31タップとする。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"では同じタップ数でFIRと移動平均を比べてみよう。"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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mTW2Vq7s0RCwaIkq1H26vnz+v2M3jH+wlLSGGB+aPYdaw7tEuq02UuEt4ZMMjvLTzRVIM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\nY/r06QwdOpTVq1ezevVqpk6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PwHxjzATgaeA+a5G/AbcZY8aeYV8Hh3xBPhoyfiRwgTHm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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646b37f080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b_ma_5 = calc_moving_average(5)\n",
"b_hann = scipy.signal.firwin(5, 1.0/5.0, None, 'hann')\n",
"b_hann2 = scipy.signal.firwin(5, 0.5/5.0, None, 'hann')\n",
"b_blackman = scipy.signal.firwin(5, 1.0/5.0, None, 'blackman')\n",
"\n",
"plot_fir_response(b_ma_5, \"ma5\")\n",
"plot_fir_response(b_hann, \"hann\")\n",
"plot_fir_response(b_hann2, \"hann2\")\n",
"plot_fir_response(b_blackman, \"blackman\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"このグラフの hann と hann2 を比べると、\n",
"1.0/タップ数 よりも設計カットオフを低くしても、FIRフィルタとしては効果が低いことがわかる。"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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HZVDr9rLlQGWz+9fsKyMr2UVuRuRGBNAgopSKqMCv3OX5zTyIF+TjbSWkJzqZ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\ns8b+AKlaoWY0v2hvAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646b3950f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b_ma_7 = calc_moving_average(7)\n",
"b_hann = scipy.signal.firwin(7, 1.0/7.0, None, 'hann')\n",
"b_blackman = scipy.signal.firwin(7, 1.0/7.0, None, 'blackman')\n",
"\n",
"plot_fir_response(b_ma_7, \"ma7\")\n",
"plot_fir_response(b_hann, \"hann\")\n",
"plot_fir_response(b_blackman, \"blackman\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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7e12HxGYxceqkNN7aXYnX230V2JaSOqqbnZw+NbTJG5dOSGVXeUO3vbQ+PlCF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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646b97a438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b_ma_9 = calc_moving_average(9)\n",
"b_hann = scipy.signal.firwin(9, 1.0/9.0, None, 'hann')\n",
"b_blackman = scipy.signal.firwin(9, 1.0/9.0, None, 'blackman')\n",
"\n",
"plot_fir_response(b_ma_9, \"ma9\")\n",
"plot_fir_response(b_hann, \"hann\")\n",
"plot_fir_response(b_blackman, \"blackman\")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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7weNjDCY45+dQvR/2Ptdx+u39lfgkfG5O3yPxA4n2NFsad228izZ3aL3dAt1v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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646b33fe10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b_ma_11 = calc_moving_average(11)\n",
"b_hann = scipy.signal.firwin(11, 1.0/11.0, None, 'hann')\n",
"b_blackman = scipy.signal.firwin(11, 1.0/11.0, None, 'blackman')\n",
"\n",
"plot_fir_response(b_ma_11, \"ma11\")\n",
"plot_fir_response(b_hann, \"hann\")\n",
"plot_fir_response(b_blackman, \"blackman\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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P+vIHJM98XMn5U3KZmGvvOp6WZOKKuYW8uauG9n4mW0op+ffm48wbmxH1EspK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\n/PjnjHJ52e9xAzAspeM31YNlpWUB8LdjB7jQ5bF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Add1YZaWU6h4Tbobsq8POxt+dFeEY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\nmQYRpZRSXaZBRCmlVJdpEFFKKdVl/wucN8B3boLMigAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646b377048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b_ma_13 = calc_moving_average(13)\n",
"b_hann = scipy.signal.firwin(13, 1.0/13.0, None, 'hann')\n",
"b_blackman = scipy.signal.firwin(13, 1.0/13.0, None, 'blackman')\n",
"\n",
"plot_fir_response(b_ma_13, \"ma13\")\n",
"plot_fir_response(b_hann, \"hann\")\n",
"plot_fir_response(b_blackman, \"blackman\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/nkon-ubuntu1604/.pyenv/versions/anaconda3-4.4.0/lib/python3.6/site-packages/ipykernel_launcher.py:18: RuntimeWarning: divide by zero encountered in log10\n"
]
},
{
"data": {
"image/png": 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njE0jJ9HI25sH7tJ6dX0V7Z0ufnXa+KPrxuqOMRHO/6e0odXK33H65EwmZZt4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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646b28dd68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b_ma_30 = calc_moving_average(30)\n",
"b_hann = scipy.signal.firwin(31, 1.0/31.0, None, 'hann')\n",
"b_blackman = scipy.signal.firwin(31, 1.0/31.0, None, 'blackman')\n",
"\n",
"plot_fir_response(b_ma_30, \"ma30\")\n",
"plot_fir_response(b_hann, \"hann\")\n",
"plot_fir_response(b_blackman, \"blackman\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"タップ数30の移動平均は、周波数特性を計算する時にゼロ除算エラーが出る。\n",
"これは50Hz、60Hzを除去するために、最小公倍数である300Hzでサンプリングして、30個の移動平均を取る。\n",
"すると、10Hzごとに平均を取っていることであり、50Hzに対してちょうど6周期、60Hzに対しては5周期の移動平均となり、10Hzのところにノッチが来る。\n",
"正規化周波数でいえば、0.03*5=0.15[1/Hz]が実際には50[Hz],0.03*6=0.18[1/Hz]が実際には60[Hz]のノッチとなる。\n",
"\n",
"理論上はマイナス無限大の減衰。\n",
"これが移動平均フィルタの最大の特徴だ。\n",
"しかし、全体的な減衰特性でいえばFIRフィルタを設計したほうが効果は高い。FIRフィルタもノッチがあるので、そこそこ減衰が取れる。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"この結果を見ると、次のことが言えそうだ。\n",
"\n",
"# 9タップ以上だとFIRを真面目に設計したほうが良い。\n",
"## ただし、ノッチが嵌まる場合は移動平均が効く。\n",
"\n",
"そして、低い次数だとBlackman窓よりもHan窓が健闘している。\n",
"しかし7タップ以下だと移動平均もよく健闘している。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"最後に係数を int16_t に丸めたときの振る舞いを確認しておこう。\n",
"データと係数を両方32ビットに丸めた時の影響の概略をつかむために係数のみ16ビットに丸めて見積もる。"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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UKIctNW3/7o1+P0FzL0MyRnb6GgMycyCUxa6GL9tsr7V2k2UO6nT5IElEiD7v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\nqhZBJIQQQtUiiIQQQqhaBJEQQghV+y+5y9yrk6zVhgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f646b5f4d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def round_coeff(b):\n",
" return map(lambda x: (round( x * (2**15))/((2**15)*1.0)), b)\n",
"\n",
"b_ma_9 = calc_moving_average(9)\n",
"b_hann = scipy.signal.firwin(9, 1.0/9.0, None, 'hann')\n",
"b_ma_9_i = round_coeff(calc_moving_average(9))\n",
"b_hann_i = round_coeff(scipy.signal.firwin(9, 1.0/9.0, None, 'hann'))\n",
"\n",
"plot_fir_response(b_ma_9, \"ma9\")\n",
"plot_fir_response(b_hann, \"hann\")\n",
"plot_fir_response(b_ma_9_i, \"ma9_i\")\n",
"plot_fir_response(b_hann_i, \"hann_i\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"32ビットあると、整数化丸めはコレぐらいのタップ数ではほとんど影響が無い。"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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