docs/rifl-tutorial-1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8daeb62e-bdf9-4f9e-b61d-7045f2594c20",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Uncomment to install needed pip package in the current Jupyter kernel the right way\n",
    "# https://jakevdp.github.io/blog/2017/12/05/installing-python-packages-from-jupyter/#How-to-use-Pip-from-the-Jupyter-Notebook\n",
    "#import sys\n",
    "#!{sys.executable} -m pip install flipper-raw-rfid matplotlib ipympl\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "da459922-4456-40d2-b1e8-1ccbef1f265f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Use local flipper_raw_rfid if available\n",
    "from pathlib import Path\n",
    "import sys \n",
    "\n",
    "module_path = Path('.').absolute().parent\n",
    "if module_path not in sys.path:\n",
    "    sys.path.append(module_path)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d535e52e-30a5-47b2-b038-ffa7c29cc886",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 20000.0)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4377857df2dc447cb07533f707461707",
       "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": [
    "%matplotlib widget\n",
    "\n",
    "from flipper_raw_rfid.rifl import Rifl\n",
    "from flipper_raw_rfid.utils import batched, pad_to_signal, signal_to_pad, autocorrelate, smooth, binarize, find_first_transition_index, find_peaks, histogram, smooth, binarize\n",
    "from flipper_raw_rfid.bits import decode_lengths, decode_manchester, decode_em_4100, to_str\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy import signal as scipy_signal\n",
    "import numpy as np\n",
    "import numpy \n",
    "import sys\n",
    "\n",
    "\n",
    "# Basic usage\n",
    "\n",
    "rifl = Rifl.load('../tests/assets/Red354.ask.raw')\n",
    "#rifl = RiflFile.load('examples/indala.psk.raw')\n",
    "\n",
    "# Get the signal as pulse length and duration length measured in µs\n",
    "pad = rifl.pulse_and_durations\n",
    "# Convert it into something more usable (vector of 0 and 1) \n",
    "signal = pad_to_signal(pad)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(signal)\n",
    "ax.set_xlim(0,20000)\n",
    "\n",
    "# Yeah looks like a signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "791c9cac-9e95-4c11-a732-9a22470994c5",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Peak(left=276, center=32708, right=32984),\n",
       " Peak(left=32984, center=65416, right=65693),\n",
       " Peak(left=65693, center=98124, right=98401),\n",
       " Peak(left=98401, center=130832, right=131109),\n",
       " Peak(left=131109, center=163540, right=163817)]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "eef9422c36754b3d88a7353ab913f487",
       "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=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": [
    "# If it is a real signal there should be some repetition in it\n",
    "# it gets send several times, so we assume it will have a correlation with itself\n",
    "signal_autocorrelation = autocorrelate(signal)\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(signal_autocorrelation)\n",
    "ax.set_xlim(0,200000)\n",
    "\n",
    "peaks = find_peaks(signal_autocorrelation, min_height=0.75)\n",
    "\n",
    "display(peaks[:5])\n",
    "# There are peaks at 32708 and more or less multiples of it, looks good"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "91f37311-780a-4d64-a15b-7814ac0e110d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Binarized again')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a6f9fad05f5641efbfe878706b665dcc",
       "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": [
    "# The first peak (32708) looks good, take it\n",
    "signal_length = peaks[0].center\n",
    "# number of whole repetitions of the signal\n",
    "number_signals = int(len(signal)/signal_length)\n",
    "# wrap signal every signal_length samples\n",
    "vis = signal[:number_signals*signal_length].reshape((number_signals, signal_length))\n",
    "\n",
    "fig, ax = plt.subplots(3,1, sharex=True)\n",
    "ax[0].imshow(vis, aspect='auto', interpolation='none')\n",
    "ax[0].set_title(f'All {number_signals} signals aligned')\n",
    "\n",
    "mean_signal = vis.mean(axis=0)\n",
    "ax[1].imshow(mean_signal.reshape((1,-1)), aspect='auto', interpolation='none')\n",
    "ax[1].set_title(f'The mean over the {number_signals} signals should look the same')\n",
    "\n",
    "binarized_mean_signal = binarize(mean_signal)\n",
    "ax[2].imshow(binarized_mean_signal.reshape((1,-1)), aspect='auto', interpolation='none')\n",
    "ax[2].set_title(f'Binarized again')\n",
    "\n",
    "                    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c6050ed8-b9bf-4a23-8ef6-0786e8e3b610",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Peak(left=225, center=255, right=285), Peak(left=485, center=510, right=536)]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "215ae8d270b34b2a8c18ea8afb96ba15",
       "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": [
    "pad = signal_to_pad(np.tile(binarized_mean_signal,8))\n",
    "\n",
    "# How long is the signal 1\n",
    "one_times = pad[:,0]\n",
    "# How long is the signal 0\n",
    "zero_times = pad[:,1] - pad[:,0]\n",
    "\n",
    "# Build a histogram with both \n",
    "combined_length = np.max([one_times,zero_times])+200\n",
    "one_times_hist = histogram(one_times,min_length=combined_length)\n",
    "zero_times_hist = histogram(zero_times,min_length=combined_length)\n",
    "hist = (one_times_hist+zero_times_hist)//2\n",
    "\n",
    "fig, ax = plt.subplots(sharex=True)\n",
    "\n",
    "#ax.plot(hist)\n",
    "ax.plot(one_times_hist) # blue \n",
    "ax.plot(zero_times_hist) # orange\n",
    "ax.plot(hist) # green\n",
    "\n",
    "# smoothing the combined histogram to blur the peaks together\n",
    "sm = smooth(hist, sigma=20)\n",
    "ax.plot(sm)\n",
    "\n",
    "# Search for peaks\n",
    "pks = find_peaks(sm)\n",
    "# And trim them to the original unsmoothed histogram\n",
    "pks = [p.fit(hist) for p in pks]\n",
    "\n",
    "# We should have two peaks for manchester encoded signal (short/long) the 2nd center should be around twice as big as the 1st\n",
    "display(pks)\n",
    "# For raw encodings there can be several peaks, each center should be a multiple of the first\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a967ae06-cf3b-4ed3-acc7-487090401085",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found nothing for high 202, restarting\n",
      "10011010011001010101100110011010100110101010101010101001100110010110100101010101010101010101011001011001101010100101100101101010100110100110010101011001100110101001101010101010101010011001100101101001010101010101010101010110010110011010101001011001011010101001101001100101010110011001101010011010101010101010100110011001011010010101010101010101010101100101100110101010010110010110101010011010011001010101100110011010100110101010101010101001100110010110100101010101010101010101011001011001101010100101100101101010100110100110010101011001100110101001101010101010101010011001100101101001010101010101010101010110010110011010101001011001011010101001101001100101010110011001101010011010101010101010100110011001011010010101010101010101010101100101100110101010010110010110101010011010011001010101100110011010100110101010101010101001100110010110100101010101010101010101011001011001101010100101100101101010100110100110010101011001100110101001101010101010101010011001100101101001010101010101010101010110010110011010101001011001011010 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(0.0, 256.0)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b3a70e634a4c489289d41a002922b943",
       "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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AAEUlA8AQwPD1dqaqrPFzguf6EjIyOjzf2eeeYZPf300yosLFRaWpo/SgUAAAi4oHgCKEl5eXlasGCB0tLSNHXqVK1evVoXL15Udna2JOmBBx7QsGHDVFBQIEn60Y9+pOXLl2vz5s1KTk72flZw4MCBGjhwYMDGAQAAcL0FTQCcN2+ezp49q+XLl8vtdmvKlCkqLCz0fjGkoqJCoaGfPfBct26dGhoa9JWvfMXnOPn5+Xrqqaf8WToAAIBfBU0AlKTc3Fzl5ua22lZcXOyzfurUqetfEAAAQC8UFJ8BBAAAQOcRAAEAACxDAAQAALAMARAAAMAyBEAAAADLEAABAAAsQwAEAACwDAEQAADAMgRAAAAAyxAAAQAALEMABAAAsAwBEAAAwDIEQAAAAMsQAAEAACxDAAQAALAMARAAAMAyBEAAAADLEAABAAAsQwAEAACwDAEQAADAMgRAAAAAyxAAAQAALBNUAXDt2rVKTk5WRESE0tPTVVpa2qn9tmzZopCQEM2dO/f6FggAANALBE0A3Lp1q/Ly8pSfn68DBw5o8uTJyszMVHV1dbv7nTp1St/97nc1bdo0P1UKAAAQWEETAFetWqWcnBxlZ2dr/PjxWr9+vSIjI7Vhw4Y292lublZWVpa+//3va9SoUX6sFgAAIHCCIgA2NDSorKxMLpfLuy00NFQul0slJSVt7veDH/xA8fHxWrhwoT/KBAAA6BXCAl3AtXDu3Dk1NzcrISHBZ3tCQoKOHz/e6j5vvPGGXnrpJR06dKjT56mvr1d9fb133ePxdKteAACAQAqKJ4BdVVdXp69//et68cUXFRcX1+n9CgoKFB0d7V2SkpKuY5UAAADXR1A8AYyLi1O/fv1UVVXls72qqkpOp/Oq/idOnNCpU6d01113ebe1tLRIksLCwlReXq7Ro0dftd+yZcuUl5fnXfd4PIRAAADQ5wRFAAwPD1dqaqqKioq8f8qlpaVFRUVFys3Nvap/SkqKDh8+7LPtySefVF1dnZ577rk2Q53D4ZDD4bjm9QMAAPhTUARAScrLy9OCBQuUlpamqVOnavXq1bp48aKys7MlSQ888ICGDRumgoICRUREaMKECT77x8TESNJV2wEAAIJN0ATAefPm6ezZs1q+fLncbremTJmiwsJC7xdDKioqFBpq5UceAQAAfARNAJSk3NzcVn/lK0nFxcXt7rtx48ZrXxAAAEAvxCMxAAAAyxAAAQAALEMABAAAsAwBEAAAwDIEQAAAAMsQAAEAACxDAAQAALAMARAAAMAyBEAAAADLEAABAAAsE1T/FJy/GWMkSZ4LLWoyjfLUtUiSmkyjT7/L2y+73N7V/le2tXbOttZbO1ZXztXaOdta7+jY7dXc0bE7O95rNccdtV9ZY1fO7Y/xdudcHY2rtXFcOS9X9u/oXmrtGJ15TXX1Pu/K9erJvdTV10RH4+roenbmXJ2t5VqO25/3b0fj6mp7e3Pc0bkD/Xrt6c+G7r4XXNnelfH19NwdjevKc3sufLp++ee4jUKMzaPvoQ8++ECjR48OdBkAAKAbKisrdeONNwa6jIDgCWAPxMbGSpIqKioUHR0d4Gp6P4/Ho6SkJFVWVioqKirQ5fRqzFXXMF9dw3x1HnPVNX1lvowxqqurU2JiYqBLCRgCYA+Ehn76Ecro6OhefaP3NlFRUcxXJzFXXcN8dQ3z1XnMVdf0hfmy/cENXwIBAACwDAEQAADAMgTAHnA4HMrPz5fD4Qh0KX0C89V5zFXXMF9dw3x1HnPVNcxX38G3gAEAACzDE0AAAADLEAABAAAsQwAEAACwDAGwm9auXavk5GRFREQoPT1dpaWlgS7pmtu7d6/uuusuJSYmKiQkRNu3b/dpN8Zo+fLlGjp0qAYMGCCXy6X33nvPp09NTY2ysrIUFRWlmJgYLVy4UBcuXPDp884772jatGmKiIhQUlKSnnnmmatqefXVV5WSkqKIiAhNnDhRr7/++jUfb08UFBToc5/7nAYNGqT4+HjNnTtX5eXlPn0++eQTLV68WDfccIMGDhyoe++9V1VVVT59KioqNGfOHEVGRio+Pl6PPfaYmpqafPoUFxfrtttuk8Ph0E033aSNGzdeVU9vvz/XrVunSZMmef9WWEZGhn7/+99725mr9q1YsUIhISH69re/7d3GnH3mqaeeUkhIiM+SkpLibWeufJ0+fVpf+9rXdMMNN2jAgAGaOHGi9u/f723nvT5IGXTZli1bTHh4uNmwYYM5evSoycnJMTExMaaqqirQpV1Tr7/+uvl//+//mV//+tdGktm2bZtP+4oVK0x0dLTZvn27+ctf/mK+9KUvmZEjR5qPP/7Y22fmzJlm8uTJ5q233jL/8z//Y2666SYzf/58b3ttba1JSEgwWVlZ5siRI+aVV14xAwYMMP/5n//p7fPmm2+afv36mWeeeca8++675sknnzT9+/c3hw8fvu5z0FmZmZnm5ZdfNkeOHDGHDh0ys2fPNsOHDzcXLlzw9nnooYdMUlKSKSoqMvv37zf/+I//aG6//XZve1NTk5kwYYJxuVzm4MGD5vXXXzdxcXFm2bJl3j4ffPCBiYyMNHl5eebdd981a9asMf369TOFhYXePn3h/nzttdfM7373O/PXv/7VlJeXmyeeeML079/fHDlyxBjDXLWntLTUJCcnm0mTJplHH33Uu505+0x+fr655ZZbzIcffuhdzp49621nrj5TU1NjRowYYR588EGzb98+88EHH5g//OEP5v333/f24b0+OBEAu2Hq1Klm8eLF3vXm5maTmJhoCgoKAljV9XVlAGxpaTFOp9P8+Mc/9m47f/68cTgc5pVXXjHGGPPuu+8aSebtt9/29vn9739vQkJCzOnTp40xxvzHf/yHGTx4sKmvr/f2efzxx83YsWO96//8z/9s5syZ41NPenq6+dd//ddrOsZrqbq62kgye/bsMcZ8Ojf9+/c3r776qrfPsWPHjCRTUlJijPk0cIeGhhq32+3ts27dOhMVFeWdn3/7t38zt9xyi8+55s2bZzIzM73rffX+HDx4sPnZz37GXLWjrq7OjBkzxuzcudPceeed3gDInPnKz883kydPbrWNufL1+OOPmzvuuKPNdt7rgxe/Au6ihoYGlZWVyeVyebeFhobK5XKppKQkgJX518mTJ+V2u33mITo6Wunp6d55KCkpUUxMjNLS0rx9XC6XQkNDtW/fPm+fL3zhCwoPD/f2yczMVHl5uf7v//7P2+fvz3O5T2+e79raWkmf/XvRZWVlamxs9BlHSkqKhg8f7jNfEydOVEJCgrdPZmamPB6Pjh496u3T3lz0xfuzublZW7Zs0cWLF5WRkcFctWPx4sWaM2fOVeNizq723nvvKTExUaNGjVJWVpYqKiokMVdXeu2115SWlqb77rtP8fHxuvXWW/Xiiy9623mvD14EwC46d+6cmpubfd4YJCkhIUFutztAVfnf5bG2Nw9ut1vx8fE+7WFhYYqNjfXp09ox/v4cbfXprfPd0tKib3/72/r85z+vCRMmSPp0DOHh4YqJifHpe+V8dXcuPB6PPv744z51fx4+fFgDBw6Uw+HQQw89pG3btmn8+PHMVRu2bNmiAwcOqKCg4Ko25sxXenq6Nm7cqMLCQq1bt04nT57UtGnTVFdXx1xd4YMPPtC6des0ZswY/eEPf9DDDz+sb33rW/r5z38uiff6YBYW6AKAYLN48WIdOXJEb7zxRqBL6dXGjh2rQ4cOqba2Vv/93/+tBQsWaM+ePYEuq1eqrKzUo48+qp07dyoiIiLQ5fR6s2bN8v73pEmTlJ6erhEjRuiXv/ylBgwYEMDKep+WlhalpaXp3//93yVJt956q44cOaL169drwYIFAa4O1xNPALsoLi5O/fr1u+obY1VVVXI6nQGqyv8uj7W9eXA6naqurvZpb2pqUk1NjU+f1o7x9+doq09vnO/c3Fzt2LFDu3fv1o033ujd7nQ61dDQoPPnz/v0v3K+ujsXUVFRGjBgQJ+6P8PDw3XTTTcpNTVVBQUFmjx5sp577jnmqhVlZWWqrq7WbbfdprCwMIWFhWnPnj16/vnnFRYWpoSEBOasHTExMbr55pv1/vvvc39dYejQoRo/frzPtnHjxnl/Zc57ffAiAHZReHi4UlNTVVRU5N3W0tKioqIiZWRkBLAy/xo5cqScTqfPPHg8Hu3bt887DxkZGTp//rzKysq8fXbt2qWWlhalp6d7++zdu1eNjY3ePjt37tTYsWM1ePBgb5+/P8/lPr1pvo0xys3N1bZt27Rr1y6NHDnSpz01NVX9+/f3GUd5ebkqKip85uvw4cM+b6Q7d+5UVFSU9w26o7noy/dnS0uL6uvrmatWTJ8+XYcPH9ahQ4e8S1pamrKysrz/zZy17cKFCzpx4oSGDh3K/XWFz3/+81f9yaq//vWvGjFihCTe64NaoL+F0hdt2bLFOBwOs3HjRvPuu++aRYsWmZiYGJ9vjAWDuro6c/DgQXPw4EEjyaxatcocPHjQ/O1vfzPGfPqnAWJiYsxvfvMb884775i777671T8NcOutt5p9+/aZN954w4wZM8bnTwOcP3/eJCQkmK9//evmyJEjZsuWLSYyMvKqPw0QFhZmVq5caY4dO2by8/N73Z8GePjhh010dLQpLi72+dMTly5d8vZ56KGHzPDhw82uXbvM/v37TUZGhsnIyPC2X/7TEzNmzDCHDh0yhYWFZsiQIa3+6YnHHnvMHDt2zKxdu7bVPz3R2+/PpUuXmj179piTJ0+ad955xyxdutSEhISYP/7xj8YY5qoz/v5bwMYwZ39vyZIlpri42Jw8edK8+eabxuVymbi4OFNdXW2MYa7+XmlpqQkLCzM//OEPzXvvvWc2bdpkIiMjzX/91395+/BeH5wIgN20Zs0aM3z4cBMeHm6mTp1q3nrrrUCXdM3t3r3bSLpqWbBggTHm0z8P8L3vfc8kJCQYh8Nhpk+fbsrLy32O8dFHH5n58+ebgQMHmqioKJOdnW3q6up8+vzlL38xd9xxh3E4HGbYsGFmxYoVV9Xyy1/+0tx8880mPDzc3HLLLeZ3v/vddRt3d7Q2T5LMyy+/7O3z8ccfm0ceecQMHjzYREZGmnvuucd8+OGHPsc5deqUmTVrlhkwYICJi4szS5YsMY2NjT59du/ebaZMmWLCw8PNqFGjfM5xWW+/P//lX/7FjBgxwoSHh5shQ4aY6dOne8OfMcxVZ1wZAJmzz8ybN88MHTrUhIeHm2HDhpl58+b5/F075srXb3/7WzNhwgTjcDhMSkqKeeGFF3zaea8PTiHGGBOYZ48AAAAIBD4DCAAAYBkCIAAAgGUIgAAAAJYhAAIAAFiGAAgAAGAZAiAAAIBlCIAAAACWIQACAABYhgAIAABgGQIgAACAZQiAAAAAlgkLdAF9WUtLi86cOaNBgwYpJCQk0OUAAIBOMMaorq5OiYmJCg2181kYAbAHzpw5o6SkpECXAQAAuqGyslI33nhjoMsICAJgDwwaNEiSdIdmK0z9vdu3/fWwT797bp7os/3yent9r2xv6xhtrXd0vI7aunLO7uzf1fF0d70n476yvaM57ujc99w88bqPt731a3Xv9ORe6+n1606t3b2ve3qfd7XOrqx3dLye1M3rm9d3V/r3pP6enrsnr++fH/iLRtx2yvtz3EYEwB64/GvfMPVXWMhnATBqkO/j5Mttl7d3pu+V7W0do631jo7XUVtXztmd/bs6nu6u92TcV7Z3NMcdnTsspP91H29769fq3unJvdbT69edWrt7X/f0Pu9qnV1Z7+h4Pamb1zev767070n9PT13j17fAz9dt/njW3b+4hsAAMBiBEAAAADLEAABAAAsQwAEAACwDAEQAADAMgRAAAAAyxAAAQAALEMABAAAsAwBEAAAwDIEQAAAAMsERQCsqalRVlaWoqKiFBMTo4ULF+rChQud2tcYo1mzZikkJETbt2+/voUCAAD0AkERALOysnT06FHt3LlTO3bs0N69e7Vo0aJO7bt69Wqr/y1AAABgn7BAF9BTx44dU2Fhod5++22lpaVJktasWaPZs2dr5cqVSkxMbHPfQ4cO6dlnn9X+/fs1dOhQf5UMAAAQUH3+CWBJSYliYmK84U+SXC6XQkNDtW/fvjb3u3Tpkr761a9q7dq1cjqdnTpXfX29PB6PzwIAANDX9PkA6Ha7FR8f77MtLCxMsbGxcrvdbe73ne98R7fffrvuvvvuTp+roKBA0dHR3iUpKanbdQMAAARKrw2AS5cuVUhISLvL8ePHu3Xs1157Tbt27dLq1au7tN+yZctUW1vrXSorK7t1fgAAgEDqtZ8BXLJkiR588MF2+4waNUpOp1PV1dU+25uamlRTU9Pmr3Z37dqlEydOKCYmxmf7vffeq2nTpqm4uLjV/RwOhxwOR2eHAAAA0Cv12gA4ZMgQDRkypMN+GRkZOn/+vMrKypSamirp04DX0tKi9PT0VvdZunSpvvGNb/hsmzhxon7yk5/orrvu6nnxAAAAvVivDYCdNW7cOM2cOVM5OTlav369GhsblZubq/vvv9/7DeDTp09r+vTp+sUvfqGpU6fK6XS2+nRw+PDhGjlypL+HAAAA4Fe99jOAXbFp0yalpKRo+vTpmj17tu644w698MIL3vbGxkaVl5fr0qVLAawSAACgd+jzTwAlKTY2Vps3b26zPTk5WcaYdo/RUTsAAECwCIongAAAAOg8AiAAAIBlCIAAAACWIQACAABYhgAIAABgGQIgAACAZQiAAAAAliEAAgAAWIYACAAAYBkCIAAAgGUIgAAAAJYhAAIAAFiGAAgAAGAZAiAAAIBlCIAAAACWIQACAABYhgAIAABgGQIgAACAZQiAAAAAliEAAgAAWIYACAAAYBkCIAAAgGWCIgDW1NQoKytLUVFRiomJ0cKFC3XhwoV2+3/zm9/U2LFjNWDAAA0fPlzf+ta3VFtb68eqAQAAAiMoAmBWVpaOHj2qnTt3aseOHdq7d68WLVrUZv8zZ87ozJkzWrlypY4cOaKNGzeqsLBQCxcu9GPVAAAAgREW6AJ66tixYyosLNTbb7+ttLQ0SdKaNWs0e/ZsrVy5UomJiVftM2HCBP3qV7/yro8ePVo//OEP9bWvfU1NTU0KC+vz0wIAANCmPv8EsKSkRDExMd7wJ0kul0uhoaHat29fp49TW1urqKgowh8AAAh6fT7tuN1uxcfH+2wLCwtTbGys3G53p45x7tw5Pf300+3+2liS6uvrVV9f7133eDxdLxgAACDAeu0TwKVLlyokJKTd5fjx4z0+j8fj0Zw5czR+/Hg99dRT7fYtKChQdHS0d0lKSurx+QEAAPyt1z4BXLJkiR588MF2+4waNUpOp1PV1dU+25uamlRTUyOn09nu/nV1dZo5c6YGDRqkbdu2qX///u32X7ZsmfLy8rzrHo+HEAgAAPqcXhsAhwwZoiFDhnTYLyMjQ+fPn1dZWZlSU1MlSbt27VJLS4vS09Pb3M/j8SgzM1MOh0OvvfaaIiIiOjyXw+GQw+Ho/CAAAAB6oV77K+DOGjdunGbOnKmcnByVlpbqzTffVG5uru6//37vN4BPnz6tlJQUlZaWSvo0/M2YMUMXL17USy+9JI/HI7fbLbfbrebm5kAOBwAA4LrrtU8Au2LTpk3Kzc3V9OnTFRoaqnvvvVfPP/+8t72xsVHl5eW6dOmSJOnAgQPebwjfdNNNPsc6efKkkpOT/VY7AACAvwVFAIyNjdXmzZvbbE9OTpYxxrv+xS9+0WcdAADAJn3+V8AAAADoGgIgAACAZQiAAAAAliEAAgAAWIYACAAAYBkCIAAAgGUIgAAAAJYhAAIAAFiGAAgAAGAZAiAAAIBlCIAAAACWIQACAABYhgAIAABgGQIgAACAZQiAAAAAliEAAgAAWIYACAAAYBkCIAAAgGUIgAAAAJYhAAIAAFiGAAgAAGAZAiAAAIBlCIAAAACWCaoAuHbtWiUnJysiIkLp6ekqLS1tt/+rr76qlJQURUREaOLEiXr99df9VCkAAEDgBE0A3Lp1q/Ly8pSfn68DBw5o8uTJyszMVHV1dav9//znP2v+/PlauHChDh48qLlz52ru3Lk6cuSInysHAADwr6AJgKtWrVJOTo6ys7M1fvx4rV+/XpGRkdqwYUOr/Z977jnNnDlTjz32mMaNG6enn35at912m37605/6uXIAAAD/CooA2NDQoLKyMrlcLu+20NBQuVwulZSUtLpPSUmJT39JyszMbLO/JNXX18vj8fgsAAAAfU1QBMBz586publZCQkJPtsTEhLkdrtb3cftdnepvyQVFBQoOjrauyQlJfW8eAAAAD8LigDoL8uWLVNtba13qaysDHRJAAAAXRYW6AKuhbi4OPXr109VVVU+26uqquR0Olvdx+l0dqm/JDkcDjkcjp4XDAAAEEBB8QQwPDxcqampKioq8m5raWlRUVGRMjIyWt0nIyPDp78k7dy5s83+AAAAwSIongBKUl5enhYsWKC0tDRNnTpVq1ev1sWLF5WdnS1JeuCBBzRs2DAVFBRIkh599FHdeeedevbZZzVnzhxt2bJF+/fv1wsvvBDIYQAAAFx3QRMA582bp7Nnz2r58uVyu92aMmWKCgsLvV/0qKioUGjoZw88b7/9dm3evFlPPvmknnjiCY0ZM0bbt2/XhAkTAjUEAAAAvwiaAChJubm5ys3NbbWtuLj4qm333Xef7rvvvutcFQAAQO8SFJ8BBAAAQOcRAAEAACxDAAQAALAMARAAAMAyBEAAAADLEAABAAAsQwAEAACwDAEQAADAMgRAAAAAyxAAAQAALEMABAAAsAwBEAAAwDIEQAAAAMsQAAEAACxDAAQAALAMARAAAMAyBEAAAADLEAABAAAsQwAEAACwDAEQAADAMgRAAAAAyxAAAQAALBNUAXDt2rVKTk5WRESE0tPTVVpa2mbfF198UdOmTdPgwYM1ePBguVyudvsDAAAEi6AJgFu3blVeXp7y8/N14MABTZ48WZmZmaqurm61f3FxsebPn6/du3erpKRESUlJmjFjhk6fPu3nygEAAPwraALgqlWrlJOTo+zsbI0fP17r169XZGSkNmzY0Gr/TZs26ZFHHtGUKVOUkpKin/3sZ2ppaVFRUZGfKwcAAPCvoAiADQ0NKisrk8vl8m4LDQ2Vy+VSSUlJp45x6dIlNTY2KjY29nqVCQAA0CuEBbqAa+HcuXNqbm5WQkKCz/aEhAQdP368U8d4/PHHlZiY6BMir1RfX6/6+nrvusfj6V7BAAAAARQUTwB7asWKFdqyZYu2bdumiIiINvsVFBQoOjrauyQlJfmxSgAAgGsjKAJgXFyc+vXrp6qqKp/tVVVVcjqd7e67cuVKrVixQn/84x81adKkdvsuW7ZMtbW13qWysrLHtQMAAPhbUATA8PBwpaam+nyB4/IXOjIyMtrc75lnntHTTz+twsJCpaWldXgeh8OhqKgonwUAAKCvCYrPAEpSXl6eFixYoLS0NE2dOlWrV6/WxYsXlZ2dLUl64IEHNGzYMBUUFEiSfvSjH2n58uXavHmzkpOT5Xa7JUkDBw7UwIEDAzYOAACA6y1oAuC8efN09uxZLV++XG63W1OmTFFhYaH3iyEVFRUKDf3sgee6devU0NCgr3zlKz7Hyc/P11NPPeXP0gEAAPwqaAKgJOXm5io3N7fVtuLiYp/1U6dOXf+CAAAAeqGg+AwgAAAAOo8ACAAAYBkCIAAAgGUIgAAAAJYhAAIAAFiGAAgAAGAZAiAAAIBlCIAAAACWIQACAABYhgAIAABgGQIgAACAZQiAAAAAliEAAgAAWIYACAAAYBkCIAAAgGUIgAAAAJYhAAIAAFiGAAgAAGAZAiAAAIBlCIAAAACWIQACAABYhgAIAABgGQIgAACAZYIqAK5du1bJycmKiIhQenq6SktLO7Xfli1bFBISorlz517fAgEAAHqBoAmAW7duVV5envLz83XgwAFNnjxZmZmZqq6ubne/U6dO6bvf/a6mTZvmp0oBAAACK2gC4KpVq5STk6Ps7GyNHz9e69evV2RkpDZs2NDmPs3NzcrKytL3v/99jRo1yo/VAgAABE5QBMCGhgaVlZXJ5XJ5t4WGhsrlcqmkpKTN/X7wgx8oPj5eCxcu7NR56uvr5fF4fBYAAIC+JigC4Llz59Tc3KyEhASf7QkJCXK73a3u88Ybb+ill17Siy++2OnzFBQUKDo62rskJSX1qG4AAIBACIoA2FV1dXX6+te/rhdffFFxcXGd3m/ZsmWqra31LpWVldexSgAAgOsjLNAFXAtxcXHq16+fqqqqfLZXVVXJ6XRe1f/EiRM6deqU7rrrLu+2lpYWSVJYWJjKy8s1evToq/ZzOBxyOBzXuHoAAAD/CoongOHh4UpNTVVRUZF3W0tLi4qKipSRkXFV/5SUFB0+fFiHDh3yLl/60pf0T//0Tzp06BC/2gUAAEEtKJ4ASlJeXp4WLFigtLQ0TZ06VatXr9bFixeVnZ0tSXrggQc0bNgwFRQUKCIiQhMmTPDZPyYmRpKu2g4AABBsgiYAzps3T2fPntXy5cvldrs1ZcoUFRYWer8YUlFRodDQoHjgCQAA0CNBEwAlKTc3V7m5ua22FRcXt7vvxo0br31BAAAAvRCPxAAAACxDAAQAALAMARAAAMAyBEAAAADLEAABAAAsQwAEAACwDAEQAADAMgRAAAAAyxAAAQAALBNU/xKIvxljJElNapTMZ9s9dS0+/ZpMo8/2y+vt9b2yva1jtLXe0fE6auvKObuzf1fH0931noz7yvaO5rijczeZxus+3vbWr9W905N7rafXrzu1dve+7ul93tU6u7Le0fF6Ujevb17fXenfk/p7eu4evb4vfLp++ee4jUKMzaPvoQ8++ECjR48OdBkAAKAbKisrdeONNwa6jIDgCWAPxMbGSpIqKioUHR0d4Grs5PF4lJSUpMrKSkVFRQW6HCtxDQKPaxB4XIPA6ur8G2NUV1enxMREP1TXOxEAeyA09NOPUEZHR/OCD7CoqCiuQYBxDQKPaxB4XIPA6sr82/7ghi+BAAAAWIYACAAAYBkCYA84HA7l5+fL4XAEuhRrcQ0Cj2sQeFyDwOMaBBbz33V8CxgAAMAyPAEEAACwDAEQAADAMgRAAAAAyxAAAQAALEMA7Ka1a9cqOTlZERERSk9PV2lpaaBLClpPPfWUQkJCfJaUlBRv+yeffKLFixfrhhtu0MCBA3XvvfeqqqoqgBX3fXv37tVdd92lxMREhYSEaPv27T7txhgtX75cQ4cO1YABA+RyufTee+/59KmpqVFWVpaioqIUExOjhQsX6sKFC34cRd/W0TV48MEHr3pdzJw506cP16D7CgoK9LnPfU6DBg1SfHy85s6dq/Lycp8+nXnvqaio0Jw5cxQZGan4+Hg99thjampq8udQ+qzOXIMvfvGLV70OHnroIZ8+XIPWEQC7YevWrcrLy1N+fr4OHDigyZMnKzMzU9XV1YEuLWjdcsst+vDDD73LG2+84W37zne+o9/+9rd69dVXtWfPHp05c0Zf/vKXA1ht33fx4kVNnjxZa9eubbX9mWee0fPPP6/169dr3759+od/+AdlZmbqk08+8fbJysrS0aNHtXPnTu3YsUN79+7VokWL/DWEPq+jayBJM2fO9HldvPLKKz7tXIPu27NnjxYvXqy33npLO3fuVGNjo2bMmKGLFy96+3T03tPc3Kw5c+aooaFBf/7zn/Xzn/9cGzdu1PLlywMxpD6nM9dAknJycnxeB88884y3jWvQDoMumzp1qlm8eLF3vbm52SQmJpqCgoIAVhW88vPzzeTJk1ttO3/+vOnfv7959dVXvduOHTtmJJmSkhI/VRjcJJlt27Z511taWozT6TQ//vGPvdvOnz9vHA6HeeWVV4wxxrz77rtGknn77be9fX7/+9+bkJAQc/r0ab/VHiyuvAbGGLNgwQJz9913t7kP1+Daqq6uNpLMnj17jDGde+95/fXXTWhoqHG73d4+69atM1FRUaa+vt6/AwgCV14DY4y58847zaOPPtrmPlyDtvEEsIsaGhpUVlYml8vl3RYaGiqXy6WSkpIAVhbc3nvvPSUmJmrUqFHKyspSRUWFJKmsrEyNjY0+1yMlJUXDhw/nelwnJ0+elNvt9pnz6Ohopaene+e8pKREMTExSktL8/ZxuVwKDQ3Vvn37/F5zsCouLlZ8fLzGjh2rhx9+WB999JG3jWtwbdXW1kqSYmNjJXXuvaekpEQTJ05UQkKCt09mZqY8Ho+OHj3qx+qDw5XX4LJNmzYpLi5OEyZM0LJly3Tp0iVvG9egbWGBLqCvOXfunJqbm31uJklKSEjQ8ePHA1RVcEtPT9fGjRs1duxYffjhh/r+97+vadOm6ciRI3K73QoPD1dMTIzPPgkJCXK73YEpOMhdntfWXgOX29xut+Lj433aw8LCFBsby3W5RmbOnKkvf/nLGjlypE6cOKEnnnhCs2bNUklJifr168c1uIZaWlr07W9/W5///Oc1YcIESerUe4/b7W71dXK5DZ3X2jWQpK9+9asaMWKEEhMT9c477+jxxx9XeXm5fv3rX0viGrSHAIheb9asWd7/njRpktLT0zVixAj98pe/1IABAwJYGRA4999/v/e/J06cqEmTJmn06NEqLi7W9OnTA1hZ8Fm8eLGOHDni89lj+Fdb1+DvP9M6ceJEDR06VNOnT9eJEyc0evRof5fZp/Ar4C6Ki4tTv379rvqmV1VVlZxOZ4CqsktMTIxuvvlmvf/++3I6nWpoaND58+d9+nA9rp/L89rea8DpdF71paimpibV1NRwXa6TUaNGKS4uTu+//74krsG1kpubqx07dmj37t268cYbvds7897jdDpbfZ1cbkPntHUNWpOeni5JPq8DrkHrCIBdFB4ertTUVBUVFXm3tbS0qKioSBkZGQGszB4XLlzQiRMnNHToUKWmpqp///4+16O8vFwVFRVcj+tk5MiRcjqdPnPu8Xi0b98+75xnZGTo/PnzKisr8/bZtWuXWlpavG/QuLb+93//Vx999JGGDh0qiWvQU8YY5ebmatu2bdq1a5dGjhzp096Z956MjAwdPnzYJ4jv3LlTUVFRGj9+vH8G0od1dA1ac+jQIUnyeR1wDdoQ6G+h9EVbtmwxDofDbNy40bz77rtm0aJFJiYmxudbRrh2lixZYoqLi83JkyfNm2++aVwul4mLizPV1dXGGGMeeughM3z4cLNr1y6zf/9+k5GRYTIyMgJcdd9WV1dnDh48aA4ePGgkmVWrVpmDBw+av/3tb8YYY1asWGFiYmLMb37zG/POO++Yu+++24wcOdJ8/PHH3mPMnDnT3HrrrWbfvn3mjTfeMGPGjDHz588P1JD6nPauQV1dnfnud79rSkpKzMmTJ82f/vQnc9ttt5kxY8aYTz75xHsMrkH3PfzwwyY6OtoUFxebDz/80LtcunTJ26ej956mpiYzYcIEM2PGDHPo0CFTWFhohgwZYpYtWxaIIfU5HV2D999/3/zgBz8w+/fvNydPnjS/+c1vzKhRo8wXvvAF7zG4Bm0jAHbTmjVrzPDhw014eLiZOnWqeeuttwJdUtCaN2+eGTp0qAkPDzfDhg0z8+bNM++//763/eOPPzaPPPKIGTx4sImMjDT33HOP+fDDDwNYcd+3e/duI+mqZcGCBcaYT/8UzPe+9z2TkJBgHA6HmT59uikvL/c5xkcffWTmz59vBg4caKKiokx2drapq6sLwGj6pvauwaVLl8yMGTPMkCFDTP/+/c2IESNMTk7OVf8TyjXovtbmXpJ5+eWXvX06895z6tQpM2vWLDNgwAATFxdnlixZYhobG/08mr6po2tQUVFhvvCFL5jY2FjjcDjMTTfdZB577DFTW1vrcxyuQetCjDHGf88bAQAAEGh8BhAAAMAyBEAAAADLEAABAAAsQwAEAACwDAEQAADAMgRAAAAAyxAAAQAALEMABAAAsAwBEAAAwDIEQAAAAMsQAAEAACxDAAQAALAMARAAAMAyBEAAAADLEAABAAAsQwAEAACwDAEQAADAMgRAAAAAyxAAAQAALEMABAAAsAwBEAAAwDIEQAAAAMsQAAEAACxDAAQAALAMARAAAMAyBEAAAADLEAABAAAsQwAEAACwDAEQAADAMgRAAAAAyxAAAQAALPP/AffY7PD/LBX4AAAAAElFTkSuQmCC' 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": [
    "bits, start = decode_lengths(pad, pks)\n",
    "\n",
    "print(to_str(bits), start)\n",
    "\n",
    "fx, ax = plt.subplots(2)\n",
    "\n",
    "frq = 256 # pks[0].center\n",
    "sx,ex = 0, 256\n",
    "\n",
    "\n",
    "ax[0].imshow(signal[start:].reshape((1,-1)), aspect='auto', interpolation='none')\n",
    "ax[0].set_xlim(sx*frq,ex*frq)\n",
    "\n",
    "ax[1].imshow(bits.reshape((1,-1)), aspect='auto', interpolation='none')\n",
    "ax[1].set_xlim(sx,ex)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cbcdce33-965d-47bc-946d-8dfb8c200489",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f51017a0460>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8d700b7899c246e8a072731d81ccb6be",
       "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": [
    "# ASK is manchester encoded\n",
    "decoded_bits = decode_manchester(bits)\n",
    "\n",
    "fix, ax = plt.subplots(2)\n",
    "\n",
    "\n",
    "acb = autocorrelate(decoded_bits)\n",
    "peaks = find_peaks(acb, min_height=0.5)\n",
    "# There are repetitions every 64 bits\n",
    "bit_signal_length = peaks[0].center\n",
    "\n",
    "ax[0].plot(acb)\n",
    "ax[0].set_xlim(0,peaks[-1].center)\n",
    "\n",
    "\n",
    "\n",
    "# For the visualizetion we put each signal below each other\n",
    "number_bit_signals = int(len(decoded_bits)/bit_signal_length)\n",
    "vis = decoded_bits[:number_bit_signals*bit_signal_length].reshape((number_bit_signals, bit_signal_length))\n",
    "\n",
    "ax[1].imshow(vis, aspect='auto', interpolation='none')\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "130bd072-6f0e-4fe7-8d33-3c8d3f657fb2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f50f557e560>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "98517e93650f47f6a91206f588970d66",
       "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": [
    "# Lets compare it to when there is no data in the file\n",
    "rifl = Rifl.load('../tests/assets/Nothing.ask.raw')\n",
    "\n",
    "no_signal = pad_to_signal(rifl.pulse_and_durations)\n",
    "\n",
    "fix, ax = plt.subplots(2)\n",
    "\n",
    "# Looks strange\n",
    "ax[0].plot(no_signal[:20000])\n",
    "\n",
    "no_signal_autocorrelation = autocorrelate(no_signal)\n",
    "\n",
    "# And has no visible autocorrelation\n",
    "ax[1].plot(no_signal_autocorrelation[:200000])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "dec61e58-0e57-4e40-80fb-a4cb9a4602c7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# To be continued"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}