slotted_cross_correlation.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "76d35ce3",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib ipympl\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "cb266711",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f1dd69d8c70>]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7d631ad54d0847f886360f6d3d036c0f",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=600.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t1 = np.sort(np.random.rand(100))*100\n",
    "m1 = 5*np.sin(2.0*np.pi*t1/10) + np.random.randn(len(t1))\n",
    "\n",
    "t2 = np.sort(np.random.rand(50))*100\n",
    "m2 = 5*np.sin(2.0*np.pi*t2/10 + 2.0*np.pi*5/10) + np.random.randn(len(t2))\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 3))\n",
    "ax.plot(t1, m1, 'b.')\n",
    "ax.plot(t2, m2, 'r.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "106cee63",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f1dd5ca9e40>]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "081890f54a70479997f3001a9017bdeb",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "delta_tau = 0.5\n",
    "dt = (t1.reshape(-1, 1) - t2.reshape(1, -1)).ravel()\n",
    "dx = (m1.reshape(-1, 1)*m2.reshape(1, -1)).ravel()\n",
    "\n",
    "k = np.arange(-100, 100)\n",
    "c = np.zeros_like(k)\n",
    "for k_ in k:\n",
    "    \n",
    "    #window = np.exp(-0.5*(dt - delta_tau*k_)**2/delta_tau**2)\n",
    "    mask = np.abs(dt - delta_tau*k_) < 0.5*delta_tau\n",
    "    if sum(mask) > 0:\n",
    "        c[k_] = np.sum(dx[mask])/np.sum(mask)\n",
    "        #c[k_] = np.sum(dx*window)/np.sum(window)\n",
    "        \n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(k*delta_tau, c, 'k-')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8158cc51",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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