FFT.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## pyPIDtoolbox\n",
    "\n",
    "Import the libs first:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.image as mpimg\n",
    "import numpy as np\n",
    "from scipy.fftpack import fft,ifft\n",
    "from numpy.fft import rfft,irfft\n",
    "import pandas as pd \n",
    "import io\n",
    "import os"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "try open csv file using Panda:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>loopIteration</th>\n      <th>time</th>\n      <th>axisP[0]</th>\n      <th>axisP[1]</th>\n      <th>axisP[2]</th>\n      <th>axisI[0]</th>\n      <th>axisI[1]</th>\n      <th>axisI[2]</th>\n      <th>axisD[0]</th>\n      <th>axisD[1]</th>\n      <th>...</th>\n      <th>axisSum[0]</th>\n      <th>axisSum[1]</th>\n      <th>axisSum[2]</th>\n      <th>rcCommands[0]</th>\n      <th>rcCommands[1]</th>\n      <th>rcCommands[2]</th>\n      <th>rcCommands[3]</th>\n      <th>axisError[0]</th>\n      <th>axisError[1]</th>\n      <th>axisError[2]</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>0</td>\n      <td>0</td>\n      <td>105047008</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0.1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <td>1</td>\n      <td>2</td>\n      <td>105047506</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0.1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <td>2</td>\n      <td>4</td>\n      <td>105048010</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0.1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <td>3</td>\n      <td>6</td>\n      <td>105048517</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0.1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <td>4</td>\n      <td>8</td>\n      <td>105049009</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0.1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n  </tbody>\n</table>\n<p>5 rows × 56 columns</p>\n</div>",
      "text/plain": "   loopIteration       time  axisP[0]  axisP[1]  axisP[2]  axisI[0]  axisI[1]  \\\n0              0  105047008         0         0         0         0         0   \n1              2  105047506         0         0         0         0         0   \n2              4  105048010         0         0         0         0         0   \n3              6  105048517         0         0         0         0         0   \n4              8  105049009         0         0         0         0         0   \n\n   axisI[2]  axisD[0]  axisD[1]  ...  axisSum[0]  axisSum[1]  axisSum[2]  \\\n0         0         0         0  ...           0           0           0   \n1         0         0         0  ...           0           0           0   \n2         0         0         0  ...           0           0           0   \n3         0         0         0  ...           0           0           0   \n4         0         0         0  ...           0           0           0   \n\n   rcCommands[0]  rcCommands[1]  rcCommands[2]  rcCommands[3]  axisError[0]  \\\n0              0              0              0            0.1             0   \n1              0              0              0            0.1             0   \n2              0              0              0            0.1             0   \n3              0              0              0            0.1             0   \n4              0              0              0            0.1             0   \n\n   axisError[1]  axisError[2]  \n0             0             0  \n1             0             0  \n2             0             0  \n3             0             0  \n4             0             0  \n\n[5 rows x 56 columns]"
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df=pd.read_csv('baseline000.bbl.csv') \n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "Index(['loopIteration', 'time', 'axisP[0]', 'axisP[1]', 'axisP[2]', 'axisI[0]',\n       'axisI[1]', 'axisI[2]', 'axisD[0]', 'axisD[1]', 'axisF[0]', 'axisF[1]',\n       'axisF[2]', 'rcCommand[0]', 'rcCommand[1]', 'rcCommand[2]',\n       'rcCommand[3]', 'setpoint[0]', 'setpoint[1]', 'setpoint[2]',\n       'setpoint[3]', 'vbatLatest', 'amperageLatest', 'rssi', 'gyroADC[0]',\n       'gyroADC[1]', 'gyroADC[2]', 'accSmooth[0]', 'accSmooth[1]',\n       'accSmooth[2]', 'debug[0]', 'debug[1]', 'debug[2]', 'debug[3]',\n       'motor[0]', 'motor[1]', 'motor[2]', 'motor[3]', 'flightModeFlags',\n       'stateFlags', 'failsafePhase', 'rxSignalReceived',\n       'rxFlightChannelsValid', 'heading[0]', 'heading[1]', 'heading[2]',\n       'axisSum[0]', 'axisSum[1]', 'axisSum[2]', 'rcCommands[0]',\n       'rcCommands[1]', 'rcCommands[2]', 'rcCommands[3]', 'axisError[0]',\n       'axisError[1]', 'axisError[2]'],\n      dtype='object')"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": "[[  0   0   0 ... -53 -52 -50]\n [  0   0   0 ...   1   1   1]\n [  0   0   0 ...  20  20  20]]\n[[  0   0   0 ... -31 -31 -33]\n [  0   0   0 ... -13 -13 -13]\n [  0   0   0 ...  16  16  16]]\n[[  0   0   0 ... -32 -32 -41]\n [  0   0   0 ...  -7  -3  -1]\n [  0   0   0 ...  13  15  15]]\n[1000 1000 1000 ... 1215 1216 1217]\n"
    }
   ],
   "source": [
    "\n",
    "#data=df[['rcCommand[3]','gyroADC[0]', 'gyroADC[1]', 'gyroADC[2]']].values.T\n",
    "#data=df[['rcCommand[1]','vbatLatest', 'amperageLatest', 'gyroADC[0]']].values.T\n",
    "#data=df[[ 'setpoint[0]','setpoint[1]','setpoint[2]', 'rcCommand[3]','debug[0]','debug[1]','debug[2]']].values.T\n",
    "setpointData = df[[ 'setpoint[0]','setpoint[1]','setpoint[2]']].values.T\n",
    "gyroADCData = df[[ 'gyroADC[0]', 'gyroADC[1]', 'gyroADC[2]']].values.T\n",
    "gyroScaleData = df[[ 'debug[0]','debug[1]','debug[2]']].values.T\n",
    "thrData = df[['rcCommand[3]']].values.T[0]\n",
    "print(setpointData)\n",
    "print(gyroADCData)\n",
    "print(gyroScaleData)\n",
    "print(thrData)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": "105\n"
    },
    {
     "data": {
      "image/png": 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      "text/plain": "<Figure size 960x800 with 3 Axes>"
     },
     "metadata": {
      "needs_background": "dark"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#i = 105\n",
    "#print(i)\n",
    "#fft_data=fft(data[1][512*i:], 512)\n",
    "#print(data[3][512*i:512*i+512])\n",
    "#plt.plot(fft_data[2:1000])\n",
    "#realPart=\n",
    "#plt.subplot(1,2,1)\n",
    "\n",
    "#plt.plot(np.array(range(1,256))*2000/512, np.abs(fft_data)[1:256]/512)\n",
    "#plt.subplot(1,2,2)\n",
    "#plt.plot(data[1][512*i:512*i+512])\n",
    "i=i+1\n",
    "\n",
    "plt.figure(figsize=(12, 10), dpi= 80)\n",
    "plt.subplot(3,1,1)\n",
    "plt.title('roll')\n",
    "plt.psd(gyroScaleData[0],1024,2000)\n",
    "plt.subplot(3,1,2)\n",
    "plt.title('pitch')\n",
    "plt.psd(gyroScaleData[1],1024,2000)\n",
    "plt.subplot(3,1,3)\n",
    "plt.title('yaw')\n",
    "plt.psd(gyroScaleData[2],1024,2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "signal = gyroScaleData[1]\n",
    "thr = thrData #1000~2000\n",
    "bufferSize = 512\n",
    "batch = int(len(signal)/bufferSize)\n",
    "thrfft = np.zeros((100, int(bufferSize/2)), dtype=np.float64)\n",
    "#timefft = np.zeros((len(signal)-bufferSize, int(bufferSize/2)), dtype=np.float64)\n",
    "thrCount = np.zeros(100, dtype=np.int32)\n",
    "\n",
    "#print(thr)\n",
    "#print(batch)\n",
    "\n",
    "for i in range(0, len(signal)-bufferSize, 10):\n",
    "    idx = i\n",
    "    #print(np.sum(thr[idx:idx+bufferSize])/bufferSize)\n",
    "    avgThr = int(np.sum(thr[idx:idx+bufferSize])/bufferSize/10) - 100\n",
    "    if avgThr < 0:\n",
    "        avgThr = 0\n",
    "    if avgThr > 99:\n",
    "        avgThr = 99\n",
    "    #print(avgThr)\n",
    "    fft_data = fft(np.hanning(bufferSize) * signal[idx:idx+bufferSize], bufferSize)\n",
    "    realPart = np.abs(np.real(fft_data[:int(bufferSize/2)]))/bufferSize*2\n",
    "    #timefft[i]+=realPart\n",
    "    thrfft[avgThr]= thrfft[avgThr]+realPart\n",
    "    thrCount[avgThr] += 1\n",
    "    \n",
    "for i in range(100):\n",
    "    if thrCount[i] != 0:\n",
    "        thrfft[i]=thrfft[i]/thrCount[i]\n",
    "#print(thrfft)\n",
    "#plt.imshow(bitmap)\n",
    "#plt.hist(bitmap, bins=256, range=(0.0, 256.0))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<matplotlib.image.AxesImage at 0x1c3e2b62388>"
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {
      "needs_background": "dark"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.figure(figsize=(2, 14), dpi= 80)\n",
    "plt.imshow(thrfft.T, vmax=1, aspect=0.075, interpolation='gaussian', origin='lower', extent=[0, 100, 0, 2000/2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def smooth(x, wnd):\n",
    "    # x: NumPy 1-D array containing the data to be smoothed\n",
    "    # wnd: smoothing window size needs, which must be odd number,\n",
    "    # as in the original MATLAB implementation\n",
    "    out0 = np.convolve(x,np.ones(wnd,dtype=int),'valid')/wnd\n",
    "    r = np.arange(1,wnd-1,2)\n",
    "    start = np.cumsum(x[:wnd-1])[::2]/r\n",
    "    stop = (np.cumsum(x[:-wnd:-1])[::2]/r)[::-1]\n",
    "    return np.concatenate((  start , out0, stop  ))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": "278950\n974\n"
    },
    {
     "data": {
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   "source": [
    "segment_length= 2048\n",
    "wnd=1024;               # 500ms step response function, length will depend on lograte  \n",
    "StepRespDuration_ms=500 # max dur of step resp in ms for plotting\n",
    "rateHighThreshold=500   # degs/s\n",
    "skipRate = 0.10\n",
    "\n",
    "gyro_signal = gyroADCData[1]\n",
    "setpoint_signal = setpointData[1]\n",
    "step_response = np.zeros((5000, segment_length), dtype=np.float64)\n",
    "input_segments = np.zeros((5000, segment_length), dtype=np.float64)\n",
    "\n",
    "print(len(gyro_signal))\n",
    "\n",
    "seg_vector = range(0, len(gyro_signal)-segment_length, round(segment_length*skipRate))\n",
    "j = 0\n",
    "for i in seg_vector:\n",
    "    Xseg = setpoint_signal[i:i+segment_length]\n",
    "    if np.max(np.abs(Xseg)) < 20:\n",
    "        continue\n",
    "    Yseg = gyro_signal[i:i+segment_length]\n",
    "    x_fft = rfft(np.hamming(segment_length) * Xseg)\n",
    "    y_fft = rfft(np.hamming(segment_length) * Yseg)\n",
    "    H=x_fft/len(x_fft)\n",
    "    G=y_fft/len(y_fft)\n",
    "    Hcon=np.conj(H)\n",
    "    imp = np.real(irfft((G * Hcon) / (H * Hcon + .0001)))# impulse response function, .0001 to avoid divide by 0\n",
    "    resp = np.cumsum(smooth(imp, 21))\n",
    "    resp = resp - resp[0]\n",
    "    if np.var(resp)>0.2: #use np.var to control the quality, see the kmean section below\n",
    "        continue;\n",
    "    #plt.plot(resp)\n",
    "    #break\n",
    "    step_response[j,:] = resp\n",
    "    input_segments[j] = Xseg\n",
    "    #print(step_response[0])\n",
    "    #break\n",
    "    j=j+1\n",
    "\n",
    "    if j>=5000:\n",
    "        break\n",
    "#plt.plot(np.max(step_response[:j], axis=0)) \n",
    "plt.plot((np.sum(step_response[:j], axis=0)/j)[:wnd])\n",
    "#plt.plot(np.min(step_response[:j], axis=0))\n",
    "print(j)"
   ]
  },
  {
   "cell_type": "markdown",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "The result of the step response sometimes looks weird. In Brian's PIDtoolbox, there's a quality control process, which drops the BAD segments.\n",
    "\n",
    "Here we try to use kmeans to check what do these BAD segments look like and how much would they affect the final result\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": "28.159003231384535\n"
    }
   ],
   "source": [
    "from scipy.cluster.vq import vq,kmeans,whiten\n",
    "\n",
    "GROUP_COUNT = 4\n",
    "features = step_response[0:j,:]\n",
    "# Whiten data\n",
    "whitened = whiten(features)\n",
    "# Find N clusters in the data\n",
    "codebook, distortion = kmeans(whitened, GROUP_COUNT)\n",
    "print(distortion)\n",
    "\n",
    "result = vq(whitened, codebook)\n",
    "#print(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": "[117. 379. 118. 360.]\n"
    },
    {
     "data": {
      "image/png": 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      "text/plain": "<Figure size 432x288 with 8 Axes>"
     },
     "metadata": {
      "needs_background": "dark"
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     "output_type": "display_data"
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   ],
   "source": [
    "resp_cluster = np.zeros((GROUP_COUNT, segment_length))\n",
    "setpoint_cluster = np.zeros((GROUP_COUNT, segment_length))\n",
    "member_count = np.zeros(GROUP_COUNT)\n",
    "for i in range(j):\n",
    "    codebook_idx = result[0][i]\n",
    "    resp_cluster[codebook_idx] = resp_cluster[codebook_idx] + step_response[i];\n",
    "    setpoint_cluster[codebook_idx] = setpoint_cluster[codebook_idx] + input_segments[i]\n",
    "    member_count[result[0][i]] = member_count[result[0][i]] + 1\n",
    "for i in range(GROUP_COUNT):\n",
    "    plt.subplot(GROUP_COUNT,2,i*2+1)\n",
    "    plt.plot(resp_cluster[i]/member_count[i])\n",
    "    plt.subplot(GROUP_COUNT,2,i*2+2)\n",
    "    plt.plot(setpoint_cluster[i]/member_count[i])\n",
    "print(member_count)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {
      "needs_background": "dark"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#print(np.var(np.array([[0,0,0,0,0],[1,1,1,1,1],[2,2,2,2,2]]), axis=1))\n",
    "plt.hist(np.var(step_response[:j], axis=1), bins=25) \n",
    "counts, bins = np.histogram(np.var(step_response[:j], axis=1), bins=1024)\n",
    "print(counts[:100])\n",
    "print(bins[:100])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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