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@alisterburt
Created September 14, 2022 16:46
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cross correlation numpy
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{
"cells": [
{
"cell_type": "markdown",
"source": [
"# cross correlation\n",
"\n",
"$$ c_{k} = \\sum_{n} a_{n+k} \\times v_{n} $$\n"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
{
"cell_type": "code",
"execution_count": 5,
"outputs": [],
"source": [
"import numpy as np\n",
"from matplotlib import pyplot as plt"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 3,
"outputs": [],
"source": [
"N = 200\n",
"a = np.sin(np.linspace(0, 8*np.pi, N))\n",
"v = np.sin(np.linspace(0, 2*np.pi, N // 4))"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 6,
"outputs": [
{
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x11f865cf0>]"
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": "<Figure size 640x480 with 2 Axes>",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2)\n",
"ax[0].plot(a)\n",
"ax[1].plot(v)"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 15,
"outputs": [],
"source": [
"c = np.zeros_like(a)\n",
"for k in range(len(c)):\n",
" end = k + len(v)\n",
" if end >= len(a): # out of bounds\n",
" break\n",
" a_windowed = a[k:end]\n",
" c[k] = np.sum(a_windowed * v)"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 18,
"outputs": [
{
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x11faa7700>]"
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": "<Figure size 640x480 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.plot(a)\n",
"ax.plot(c / np.max(c))"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "markdown",
"source": [
"# vectorised / sliding window"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
{
"cell_type": "code",
"execution_count": 23,
"outputs": [],
"source": [
"import einops"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 22,
"outputs": [
{
"data": {
"text/plain": "((151, 50), (50,))"
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a_w = np.lib.stride_tricks.sliding_window_view(a, window_shape=len(v))\n",
"a_w.shape, v.shape"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 24,
"outputs": [
{
"data": {
"text/plain": "(151,)"
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"c = einops.reduce(a_w * v, 'c v -> c', reduction='sum')\n",
"c.shape"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 25,
"outputs": [
{
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x11fb3e380>]"
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": "<Figure size 640x480 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.plot(c)"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 26,
"outputs": [
{
"data": {
"text/plain": "True"
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(c, np.correlate(a, v, mode='valid'))"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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