{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyFRF import FRF\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# Showcase of the package ``pyFRF``"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Feb 2018, J. Slavič (janko.slavic@fs.uni-lj.si, [ladisk.si/~slavic](http://ladisk.si/~slavic))\n",
    "\n",
    "pyFRF is part of the [www.openmodal.com](http://www.openmodal.com) project.\n",
    "\n",
    "The inputs are time signals of excitation and response, the outputs are FRF estimators (H1, H2, Hv, Vector or ODS) and coherence."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create synthetic FRF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "C = 0.5+0.1j # modal constant\n",
    "eta = 5e-3   # damping loss factor\n",
    "f0 = 320     # natural frequency\n",
    "df = 1      # freq resolution\n",
    "D = 1e-8*(1-.1j)    # residual\n",
    "\n",
    "f = 1*np.arange(0, 1400, step=df) # / frequency range\n",
    "    \n",
    "w0 = f0 * 2 * np.pi #to rad/s\n",
    "w = f * 2 * np.pi\n",
    "H1_syn = C / (w0 ** 2 - w ** 2 + 1.j * eta * w0 ** 2) + \\\n",
    "        +0.5*np.conj(C) / ((w0*2)** 2 - w ** 2 + 1.j * eta * (w0*2)** 2)\\\n",
    "        +0.25*C / ((w0*3)** 2 - w ** 2 + 1.j * eta * (w0*3)** 2)\\\n",
    "        + D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1de70c30438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "ax1.semilogy(f,np.abs(H1_syn), 'b')\n",
    "ax1.set_xlabel('Frequency [Hz]')\n",
    "ax1.set_ylabel('H1', color='b')\n",
    "for tl in ax1.get_yticklabels():\n",
    "    tl.set_color('b')\n",
    "    \n",
    "ax2 = ax1.twinx()\n",
    "ax2.plot(f,np.angle(H1_syn), 'r', alpha=0.2)\n",
    "ax2.set_ylabel('Angle', color='r')\n",
    "for tl in ax2.get_yticklabels():\n",
    "    tl.set_color('r')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prepare synthetic impulse response"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = np.fft.irfft(H1_syn)\n",
    "l = len(H1_syn)*2-2\n",
    "t = np.linspace(0, 1, num=l)\n",
    "exc = np.zeros_like(t)\n",
    "exc[0] = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tXwmA+/eblDsK+E/gMNwzj1Y3uwd4DPeH2xjwGGAR7uujRHogcBvuf896WZ5J7W6gIzArOvRVYIs7X29T0K2gpFZCfvIT2LoVevWCnj2hWsvziZSqHEmtGngdOJLQXbQAOBP3xWllDgAeBsbh/kba8T7ABtw3YtYfeB4Y32SQSWsCfhkYCewP3AvMBE7G/bBsl+X7W+ggd0am7c8146VWBSrJcf75jdtDh8L06ZpvUqQcuTdgtl13Ee6LMZsGLMS9Dvgh0AOYQxiEuBz3E4G9gbsw20oYfDi9zQktaMDdMRsP/Aj3n2I2KddF+dbUXgBOc+fNaH848LA7B7Y16pZSTa3EVVeHVQLOOgsmTIg7GhGJlN00WWbPEgaKnEPo+nqf0By5X7bL8q2pXQ7MM2MZocNut+iLRLaXWvbm/vvh+efDu2+vvQZf/jJ88YvxxiYi5eQMwoj5Kbi/i9kQQm0xq7wnNDajM7AnIan9zT33+wKFoJpaGTvzTDjwwDDYZJ99YO+9445IpGKUXU2tlbImNTO+4s5cM07OdN6dRwoWWTOU1BLkpJPg+ONh4cKQ7D7zGcg9YYCItELZJTWzk4EfALsQKlMGOO69sl2Wq/nxMGAucEKGcw7FT2qSIL/6VfikHHpoeFVg+XKoqYGdd9aISpHKdRNwAu5/bclF+Q4UGRZNY5X1WDGoplZBhg8PKwusWQO77grDhoXZTUSkxcqwpvYc7mNafFm+ox+bjnQ04y/ufL6lX9hWSmoV7rLLwjI6vXrBAQdA//5xRyRSFsowqd0GfIYwnWLjGA73rC2EWdt2zNgL2AfYqUm/Wi9A/2WW4rv55u33J04M81R26gRHHw0jR2a+TkTKTS9gA3B02rGc3V65Oiz2BI4HerN9v9pHhAU+ReL1wAON27//PeyyS+PK3mPHwnnnwbp1Yb9fPw1EESkX7q16bSzf5sdD3Hm+NV/Q3tT8KG3yr/8KGzfCJ5/AfvvBZz8LVfmuwCRSvsqw+XEQYZ7JMYQa2h8JkxrXZ70sz6TWhbDUwD6kNTu6c24bQm4VJTVpdwMGwKpVMGYMnHJK2F+7Fnr00KTNkhhlmNSeAn4B3BcdORs4C/exWS/LM6nNAf5GeLt7GnAW8Fd3vtWWmFtDSU2KavhwOOQQeOed8B7d2LGhiXPtWiU8KStlmNQW7bCadqZjTeT7EtDu7pxmxnh3ZpnxC8LElyLJtmxZ45pyALNnb39+8GA46KDQpNm7d5gKbMAA+PTTMHilc+fixiuSHKujJWdSHecTIfd6m/kmtdS6aR+asS/wLjC0pRGKJM6KFeGTcv/9O5YZMwbcQ4IbNQr23TckvS1bQq1PKxuIZHIu8GPg1mj/uehYVvkmtRlm9AGuBuoIyw98txVBilSe555r3J43b8fznTrBpk1he599wtRh778fEuFuu4U5MjdvDvvduoXyIknnvhw4saWXaUYRkXLUpw988EFYx27kyDCl2MaN4fiQIeH1hfXrQwIcMCDuaKUElGGf2nDgNuBgwujH54FLcF+W7bJ8a2q/hB3WTnsYij+jiIgQEhrA22+HT0v06xeaPauqQs1v991DE2h1dWMS7NkzlK2qCtu9e4dVzrdu1XycUiy/AG4H/inan0DoX/tCtos0o4hIpfnHP8InZcGClt+jujo0h27ZEmqLu+8OH30EHTqEpNmvXzjfqVOY0qxPn3AOoGvXkCi7dg3NrtXV4fWJqqpwjd4bbH9PPx13BK1huN+Xtv/zaHXurDSjiIi0XGoxWGhdbbGl+vYNya+qKtQqd9459DN27hw+/fqFclVVIZHutFNj4u3UKSTQbt0a407tb94MHTuGibI7dgzlO3QI13bsGMqmEm2qhupeXjPTrFwJ//EfucuZjSM093UA7sZ9epPznYF7CS10/wDOwP3t6NyVhHeZtwAX494eo+PnYXYFMJvQ/HgG8BvM+gLgvibjH0MzioiItBOzxkTarVvY37QpJNFevRoHBKUS7+ZoYHl1dai9NjSEa6qqQlNvly4hybo3JvXq6lCuY8dQU+7WLcyQ07lzKLt2bfi5Zk1YdX5N+N1vjz3WfJ+aWQfgdWAsUA8sACbiviStzPnA/rifh9kE4J9wPwOzEYRmwdHAZ4HfAXvgvqWNzzLbmA3HfXimE7maH/+vOzcBZ5oxcYe7Ohe3LEoRkQRLVRI2bWpMYBAG7axeHU9M+RkNLN02CMNsNjAeWJJWZjxwXbT9MPBjzCw6Phv3jcBbmC2N7te2ipD7sNZclqvxOrU420LgLxk+IiJS6r73PYBqM1uY9pmaVmIgkPbCJfXRMTKWcW8A1gL98ry25cxOw6xntH01Zo9gdkCuy7LW1Nx5NPo5q80BiogkQYcOodkPQrNiqs+tc+fQFAiNfXupJsiqqtBc2LVrOJ+aaaa6uvGahoZwvnv30PSYKpt6L7GqKnxSC+V27Rr2GxrCsU6dQizdu4ftTp3CAJxGDe5e28yfKlMnYdO+qebK5HNta3wX9zmYfQk4BrgZuJO2jH5MMeMp4DR3Poz2+wCz3TmmbTGLiDTDLPQ79e4dEkn37uGXd+r1g86dwy/u3r1DkunQIfRbpUZVphJE6pd9dXXjL//USMuOHcN+x44hOaSSEZTfgJC2qQcGp+0PAlY2U6Yes2pgJ2BNnte2RqpP7v8Ad+D+a8yuy3VRvi+c7JxKaADufGDGLi2PUUTKXmpgwqBBYdRhr17heGo7VfNIrXLQtWsYENGpU+P7camRi6mypZA8mr5/VwoxFc8CoAazYcA7hHfCzmxSpg6YROgrOxWYi7tjVgf8ArNbCANFaoA/t0NM72B2F3AU8INo9GXO9z3yTWpbzBjiznIAM3ajfaqXIlIsVVVQUxOSSZcuISkNGRJqNVVVYdj8sGHw8ceh+at//zAiL73GUlm/6CuHe0P0DtiThCH9M3FfjNk0YCHudcBPgfuigSBrCImPqNxDhEElDcAFbR75GJwOjANuxv1DzAYAl+e6KN8h/eOAGcCz0aFDganuxZ+pX0P6paL16xeGaH/2s7D//o0rAvTsCXvuGWo+qcmTd9pJ80TKNmU3TRYQ9afV4P4zzHYGeuCedXrGvGpq7vzWjAMJc3AZcIk7JT0+VaSsDBwIX/4y7LorbNgQaknDhoWZOD79NPT5aDZ/qSRm1wK1hElAfgZ0BH5OWAm7WfkOFJnizk+Bx6L9DmZc686/tSlokST70pdCMtq6Ncy2P25c45yNu+4aalH5NOd10Yx0UpH+CTgAeAEA95XbhvhnkW+f2pFmnEKYBqUfIWs+m/2Sbc2W26ZdcWd6M+VOBeYAB7mzMM+YROJTVQWnnhqa+dzD3IcHHBAS2MaNzdeqeub8NykiwaZoIEroIzPLq6ki3+bHM804A3gF2ABMdOe5bNeY0YEww/K2aVfMqHPf7g11zOgJXAz8KZ9YRIqiQwc45ZTG94tqa8OgipTmZqpPnyNQRNrioWj0Y2/MvkFYIPTuXBfl2/xYA3yLsATN3sBXzXjRnQ1ZLhsNLHVnWXSPTNOuAFwP3ARclk8sIu3mhBOgvj4MQz/iCDjwwNA82LNnSEwa6ScSH/ebMRsLrCP0q12D+1O5Lsv3v5SPAhe487QZBlxKeK9hnyzXZJo6Zbs3wc04ABjszmNmzSe1aDqXqQC7535NQWRH554Lhx8OK1aEPqo99shcrm/fooYlIlmEJBYSmVkHzM7C/f5sl+Sb1Ea7sy58Bw78uxl1Oa7JOnWKGVXArcDkXF/u7jMIrxRQY9V6P04yO/zwMHHs0KFhO725MKVPnyIHJSItYtYLuIBQMaojJLULCO+oLQJan9RSs/S7s86M09yZk3b6HOBfs1yea+qUnsC+wDNRK89ngDozTtRgEcnpuONg5MiQxD73ufAisd7JEkmC+4APCDOXfJ2QzDoB43FflOvirC9fm/GCOwc23c60n+HaasL6PEcSpl1ZAJzpzuJmyj8DXJYroenl6wp1/fWw116wfHmYFUP9XSItUjYvX5u9gvt+0XYHYDUwBPeP8rk8V/OjNbOdaX877jSYsd20K+4sNmMasNA9Z/OlVKqaGrjyyvAC8oYN2w+Pb64vTESSYvO2LfctmL2Vb0KD3EnNm9nOtL/jxc7jwONNjl3TTNnDc91PEqZLlzBbxlFHweTJYVqnpjSLhkilGYnZumjbgK7RvhFWvO6V7eJcSW2kGambdY22U1+kaQ6kZVJL3Y8fD6ef3ji7u4hIinuHtlyea5HQNt1cBIBjj4WvflWzaYhIwWnqA2l/tbXwne9ozkIRKTolNWm7/v3hrrvCkPpNmzS0XkRio6QmrTN7NmzZEqaV2m23xuNKaCISIyU1yc/FF4eRiFu3hpeeU6MSNdhDREqIkpo0b8AA6NoVpkwJqyyLSGUy6ws8CAwF3gZOx/2DJmVGAXcAvYAtwI24Pxiduwc4DFgblZ6cz+wgraGkJjs65hi44ALN2iEiKVcAT+M+HbMrov3vNCmzAfga7m9g9lngL5g9ifuH0fnLcX+40IEqqUlw553hHbJddw3rh4mINBoP2ybImAU8Q9Ok5v562vZKzN4DdgY+pIiU1CrVN78Jf/sb9OgBZ54ZfopIklWbWfrcujOiFVDysSvuqwBwX4XZLllLm40mTEL8ZtrRGzG7BngauAL3jXlH3gJKapXorLPCC9HHHRd3JCJSPA3uXtvsWbPfEVZLaeqqFn2L2QDCTPuTcN8aHb0SeJeQ6GYQannTWnTfPCmpVYo5c2DdujAMf8CAuKMRkVLjflSz58z+F7MBUS1tAPBeM+V6Ab8BrsZ9ftq9V0VbGzH7GTS/KHRbaRnppDrkkPCzZ0+YNSvM7rHLLkpoItIadcCkaHsS8OsdSph1Av4buBf3OU3ODYh+GnAS8GqhAs26nlop0npqeXr00bgjEJES0qb11Mz6AQ8BQ4DlwGm4r8GsFjgP969jdjbwM9huzcwwdN9sLmHQiBFWrz4P94/b8MdpPlQltYSYPDks47LrrnDEEdBBc1GLSKOyWSS0jdSnlgT77AOnnBJ3FCIisVNSK1fXXAPr18PQodvPvSgiUsGU1MrR8cfDQQfFHYWISMlRUisXl18OmzfDfvuFpV5ERGQHSmrl4IIL4NBD445CRKTkKamVqmuvhdWrYfBgGDEi7mhERMqCklopOuUU+PznNUu+iEgLKamVihkzYO7cMPPHyScroYmItIKSWqkYMCBMNCwiIq2muR/jcvDBUFUFfftqSisRkXaimlpcrmrZag4iIpKbampxuPjiuCMQEUkk1dSK5fvfh27doHNnGDgw7mhERBJJSa1Y9t037ghERBJPSa2QqqrCDPrnnx93JCIiFaGgSc2MccBtQAfgbnemNzl/KfB1oAF4HzjXnb8XMqai+f73VTsTESmygg0UMaMDcDtwLDACmGhG0/meXgRq3dkfeBi4qVDxFNWhhyqhiYjEoJA1tdHAUneWAZgxGxgPLEkVcGdeWvn5wNkFjKewjjsOdt45rDytZWFEJEnM+gIPAkOBt4HTcf8gQ7ktwCvR3nLcT4yODwNmA32BF4Cv4r6pEKEWckj/QGBF2n59dKw5U4AnMp0ws6lmttDMFoK3Y4jt6KCD4NRT4ctfDlNdiYgkxxXA07jXAE9H+5l8gvuo6HNi2vEfALdG139A+H1fEIVMapkmL8yYkcw4G6gFfpjpvLvPcPdad6/NfNuYXXIJ1NbGHYWISKGMB2ZF27OAk/K+0syArxC6mFp+fQsVsvmxHhictj8IWNm0kBlHAVcBh7mzsYDxtK9bbgk1srfeCrUzEZHSVh1au7aZ4e4z8rx2V9xXAeC+CrNdminXhfAdDcB03H8F9AM+xL0hKpOr1a5NCpnUFgA1ZgwD3gEmAGemFzDjAOAuYJw77xUwlvZXXR3WOhs8OHdZEZH4NYTWrmaY/Q74TIYzLZnTbwjuKzEbDszF7BVgXYZyBetHKlhSc6fBjAuBJwlD+me6s9iMacBCd+oIzY09gDnRSivL3TmxuXuWjLPOgqFD445CRKT9uB/V7Dmz/8VsQFRLGwDNVELcV0Y/l2H2DHAA8EugN2bVUW0tY6tdeynoe2ruPA483uTYNWnbzT/EUvPcUA4oAAAKXklEQVTP/wyjR8OiRXD00XFHIyJSTHXAJGB69PPXO5Qw6wNswH0jZv2BMcBNuDtm84BTCSMgM1/fTsy9REcTNqPGqv2N448t/hdreRgRKWNmtsHdu7fy4n7AQ8AQYDlwGu5rMKsFzsP965h9kdCdtJUwCPE/cP9pdP1wGof0vwicjXtBxlAoqeVLSU1EylibkloZ0dyP2Vx8MSxfDiefHHckIiKSByW15pxwAowdG3cUIiLSAloktDlTp8YdgYiItJCSWiY1NXFHICIiraDmx3QaDCIiUtZUU0vp0yfuCEREpI2U1FJuvz3uCEREpI0qN6kNGwY33hi2J02Cnj3jjUdERNqscvvUtm6F/fdXP5qISIJUbk1t69a4IxARkXZWuUntlFPijkBERNpZZSW1Y44JP6+5Bo48Mt5YRESk3VVOn9ree8N558GFF8YdiYiIFEjl1NS++MWwWrWIiCRWspNa97RVFspsiR0REWm5ZCe1L32pcfvgg+OLQ0REiiLZ7XFHHQXnngvdusUdiYiIFEGya2rduyuhiYhUkOQmte9+FwYPjjsKEZHyZ9YXs6cweyP6ueMM8GZHYLYo7fMpZidF5+7B7K20c6MKFWqyktrAgY3be+0VXxwiIslyBfA07jXA09H+9tzn4T4K91HAV4ANwP+klbh823n3RYUKNFlJ7aab4AtfCNtdusQbi4hIcowHZkXbs4CTcpQ/FXgC9w0FjSqDZCW1Xr3g6qvDJMWdOsUdjYhIKak2s4Vpn6ktuHZX3FcBRD93yVF+AvBAk2M3YvYyZrdi1rkF390iyR79KCIiKQ3uXtvsWbPfAZ/JcOaqFn2L2QBgP+DJtKNXAu8CnYAZwHeAaS26b56U1EREBNyPavac2f9iNgD3VVHSei/LnU4H/hv3zWn3XhVtbcTsZ8Bl7RBxRslpfjz//LgjEBFJqjpgUrQ9Cfh1lrITadr0GBIhmBmhP+7Vdo8wUt5J7corG7ePPTa+OEREkm06MBazN4Cx0T6Y1WJ297ZSZkOBwcCzTa6/H7NXgFeA/sANhQrUvMzmRKyxan/j+CiBPfoo1NfDunUwYkS8gYmIlDAz2+Du3XOXLG/l36c2aFDcEYiISIko7+ZHERGRNAVNamaMM+M1M5aa7fgGuhmdzXgwOv8nM4YWMh4REUm2giU1MzoAtwPHAiOAiWY07fiaAnzgzu7ArcAPChWPiIgkXyH71EYDS91ZBmDGbMJUK0vSyowHrou2HwZ+bIa5k3X0yjPPwI93/jf+uk+7xywiImWskEltILAibb8e+EJzZdxpMGMt0A9YnV4oms5lKkAv68SjB9+I9d5/h2qfiIhktmRJ7jJJUMikZhmONa2B5VMGd59BmFqF7t27+78/tX/boxMRqSCW6bdtAhVyoEg94SW8lEHAyubKmFEN7ASsKWBMIiKSYIVMaguAGjOGmdGJMGtzXZMy6VOvnArMzdWfJiIi0pyCNT9GfWQXEmZq7gDMdGexGdOAhe7UAT8F7jNjKaGGNqFQ8YiISPKV3TRZ3bt39/Xr18cdhohIWamUabI0o4iIiCSGkpqIiCSGkpqIiCSGkpqIiCRG2Q0UMbOtwCdxx1EiqoGGuIMoEXoWjfQsGulZNOrq7omvyJTjemovuHtt3EGUAjNbqGcR6Fk00rNopGfRyMwWxh1DMSQ+a4uISOVQUhMRkcQox6Q2I+4ASoieRSM9i0Z6Fo30LBpVxLMou4EiIiIizSnHmpqIiEhGSmoiIpIYJZvUzGycmb1mZkvN7IoM5zub2YPR+T+Z2dDiR1kceTyLS81siZm9bGZPm9luccRZDLmeRVq5U83MzSyxw7nzeRZmdnr0d2Oxmf2i2DEWSx7/RoaY2TwzezH6d3JcHHEWmpnNNLP3zOzVZs6bmf0oek4vm9mBxY6x4Ny95D6EpWreBIYDnYCXgBFNypwP3BltTwAejDvuGJ/FEUC3aPublfwsonI9gd8D84HauOOO8e9FDfAi0Cfa3yXuuGN8FjOAb0bbI4C34467QM/iUOBA4NVmzh8HPAEYcDDwp7hjbu9PqdbURgNL3X2Zu28CZgPjm5QZD8yKth8GjjRL5ILlOZ+Fu89z9w3R7nzCKuNJlM/fC4DrgZuAT4sZXJHl8yy+Adzu7h8AuPt7RY6xWPJ5Fg70irZ3AlYWMb6icfffE9ambM544F4P5gO9zWxAcaIrjlJNagOBFWn79dGxjGXcvQFYC/QrSnTFlc+zSDeF8D+xJMr5LMzsAGCwuz9WzMBikM/fiz2APczsOTObb2bjihZdceXzLK4DzjazeuBx4KLihFZyWvr7pOyU6jRZmWpcTd89yKdMEuT95zSzs4Fa4LCCRhSfrM/CzKqAW4HJxQooRvn8vagmNEEeTqi9/8HM9nX3DwscW7Hl8ywmAve4+7+b2SHAfdGz2Fr48EpK4n9vlmpNrR4YnLY/iB2bC7aVMbNqQpNCtmp3ucrnWWBmRwFXASe6+8YixVZsuZ5FT2Bf4Bkze5vQZ1CX0MEi+f4b+bW7b3b3t4DXCEkuafJ5FlOAhwDc/XmgC9C/KNGVlrx+n5SzUk1qC4AaMxtmZp0IA0HqmpSpAyZF26cCcz3qCU2YnM8ianK7i5DQktpvAjmehbuvdff+7j7U3YcS+hdPdPckTuSaz7+RXxEGEWFm/QnNkcuKGmVx5PMslgNHApjZ3oSk9n5RoywNdcDXolGQBwNr3X1V3EG1p5JsfnT3BjO7EHiSMLJpprsvNrNpwEJ3rwN+SmhCWEqooU2IL+LCyfNZ/BDoAcyJxsosd/cTYwu6QPJ8FhUhz2fxJHC0mS0BtgCXu/s/4ou6MPJ8Fv8C/JeZXUJobpucxP8Em9kDhObm/lH/4bVARwB3v5PQn3gcsBTYAJwTT6SFo2myREQkMUq1+VFERKTFlNRERCQxlNRERCQxlNRERCQxlNRERCQxlNRERCQxlNSkYplZPzNbFH3eNbN30vb/XwG+b7KZvW9md2cp0zX6/k3RC9Mi0gIl+fK1SDFELyKPAjCz64CP3f3mAn/tg+5+YZaYPgFGRdN8iUgLqaYmkoGZfRz9PNzMnjWzh8zsdTObbmZnmdmfzewVM/tcVG5nM/ulmS2IPmPy+I59ovssihZsTOK8jCJFpZqaSG4jgb0J07EtA+5299Fm9i3CEibfBm4DbnX3P5rZEMKUTXvnuO95wG3ufn80Z2GHgv0JRCqEkppIbgtSk76a2ZvA/0THXyGaMBg4ChiRtk5tLzPr6e4fZbnv88BVZjYIeMTd32j/0EUqi5ofRXJLX8pna9r+Vhr/Y1gFHOLuo6LPwBwJDXf/BXAi8AnwpJl9pZ3jFqk4Smoi7eN/gG0DQMxsVK4LzGw4sMzdf0RYEmT/woUnUhmU1ETax8VAbTTgYwmhvyyXM4BXzWwRsBdwbyEDFKkEWnpGpEjMbDJQm21If1rZt6Oyqwsdl0iSqKYmUjyfAMfm8/I1YWHHrUWLTCQhVFMTEZHEUE1NREQSQ0lNREQSQ0lNREQSQ0lNREQS4/8DqNlK6X0+kfoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1de723bff28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "ax1.plot(t, exc, 'b');\n",
    "ax1.set_xlabel('Time [s]')\n",
    "ax1.set_ylabel('Excitation', color='b')\n",
    "ax1.set_xlim(left=0, right=1)\n",
    "for tl in ax1.get_yticklabels():\n",
    "    tl.set_color('b')\n",
    "    \n",
    "ax2 = ax1.twinx()\n",
    "ax2.plot(t, h, 'r', alpha=0.7)\n",
    "ax2.set_ylabel('Response', color='r')\n",
    "for tl in ax2.get_yticklabels():\n",
    "    tl.set_color('r')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Go back to frequency domain via pyFRF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "frf = FRF(sampling_freq=1/t[1], exc=exc, resp=h, exc_window='None', resp_type='d', resp_window='None')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1400"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(frf.get_f_axis())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1de72c88ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.semilogy(frf.get_f_axis(), np.abs(frf.get_FRF()), '.', label='via FRF')\n",
    "plt.semilogy(f, np.abs(H1_syn), label='Synthetic')\n",
    "plt.title('FRF H1')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1de72253588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.semilogy(frf.get_f_axis(), np.abs(frf.get_FRF(form='accelerance')), '.', label='Accelerance')\n",
    "plt.semilogy(frf.get_f_axis(), np.abs(frf.get_FRF(form='mobility')), '.', label='Mobility')\n",
    "plt.semilogy(frf.get_f_axis(), np.abs(frf.get_FRF(form='receptance')), '.', label='Receptance')\n",
    "plt.title('FRF H1')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Go back to frequency domain via pyFRF - multiple measurements with noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# prepare the instance of FRF \n",
    "averages = 10\n",
    "frf = FRF(sampling_freq=1/t[1], fft_len=len(h), exc_window='None', \\\n",
    "          resp_window='None', resp_type='d', weighting='Linear', n_averages=averages)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "k = 0.1 # rate of noise\n",
    "for i in range(averages):\n",
    "    noise = k * (np.random.rand(len(h))-0.5) * np.std(h)\n",
    "    frf.add_data(exc, h + noise)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1de72807f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.semilogy(frf.get_f_axis(), np.abs(frf.get_H1()), '.', label='via FRF')\n",
    "plt.semilogy(f, np.abs(H1_syn), label='Synthetic')\n",
    "plt.title('FRF H1')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1de71017048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(frf.get_f_axis(), frf.get_coherence(), '.');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Measured data, from time domain to frequency domain - multiple measurements"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Prepared by: Matej Razpotnik, matej.razpotnik@fs.uni-lj.si"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "import glob as glob\n",
    "np.seterr(all='ignore');#ignore numpy warning due to division with 0 at frequency derivation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "measurement_files = glob.glob('data/*')\n",
    "first_meas = np.load(measurement_files[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1de710f8cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "ax1.plot(first_meas[0], first_meas[1], 'b');\n",
    "ax1.set_xlabel('Time [s]')\n",
    "ax1.set_ylabel('Excitation', color='b')\n",
    "ax1.set_xlim(left=0, right=0.002)\n",
    "for tl in ax1.get_yticklabels():\n",
    "    tl.set_color('b')\n",
    "    \n",
    "ax2 = ax1.twinx()\n",
    "ax2.plot(first_meas[0], first_meas[2], 'r', alpha=0.5)\n",
    "ax2.set_ylabel('Response', color='r')\n",
    "for tl in ax2.get_yticklabels():\n",
    "    tl.set_color('r')\n",
    "ax1.set_xlim(0, 0.01);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "frf_meas = FRF(sampling_freq=1 / (first_meas[0][1] - first_meas[0][0]), \n",
    "               fft_len=len(first_meas[0]), \n",
    "               exc_window='Force:0.01', \n",
    "               resp_window='Exponential:0.01',\n",
    "               weighting='Linear', \n",
    "               n_averages=len(measurement_files))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1de72359ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_up_to = 4000\n",
    "for file_name in measurement_files:\n",
    "    meas_i = np.load(file_name)\n",
    "    frf_meas.add_data(meas_i[1], meas_i[2])\n",
    "plt.semilogy(frf_meas.get_f_axis()[:plot_up_to], np.abs(frf_meas.get_FRF(form='accelerance'))[:plot_up_to])\n",
    "plt.title('FRF H1');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1de7302f390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(frf_meas.get_f_axis()[:plot_up_to], frf_meas.get_coherence()[:plot_up_to]);\n",
    "plt.title('Coherence');"
   ]
  }
 ],
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  "anaconda-cloud": {},
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   "language": "python",
   "name": "python3"
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