{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "4b1b36d9",
   "metadata": {},
   "source": [
    "# Wave turbulence in gongs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "2cc6b20c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy import signal as sig\n",
    "from scipy import fft as fft\n",
    "#import scipy as sc\n",
    "import scipy.io.wavfile as wav\n",
    "%matplotlib inline\n",
    "#%matplotlib notebook\n",
    "#%matplotlib widget\n",
    "#for jupiter notebook\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9796e975",
   "metadata": {},
   "source": [
    "# Acoustic measurement\n",
    "\n",
    "A microphone is available to record the sound emitted by the gong. Use the Audacity sofware to record the sound. Save the data in .wav file format that python can read using the scipy library.\n",
    "\n",
    "A quasi-stationary forcing can be achieved by hitting reapeatedly the gong with constant impact strength.\n",
    "\n",
    "#### 1 Perform a series of experiments with different forcing strengths (and possibly different gongs). Document precisely for dataset. Make long records."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "6b67f1bf-b717-46ab-8e6f-0a1e5bc4aa4f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "D:\\M2TMA\\ALLAL_boris\n"
     ]
    }
   ],
   "source": [
    "cd D:\\M2TMA\\ALLAL_boris"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d669b204",
   "metadata": {},
   "source": [
    "#### 2. load one audio record (use the function `wav.read` from `scipy` to read .wav files). There are two channels but we will use only one (whichever). Plot the signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "8c90b0f1-62b3-49d7-9d57-8676785532c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(765467, 2)"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rate, data = wav.read('gros-statio.wav')\n",
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "2693e0e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ef3d85b710>]"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(data[:,0])\n",
    "#plt.xlim([1.14e6,1.15e6])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "48e83114-af55-4f56-b8a3-a0ec61ddb94b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ef6c344810>]"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dataf = fft.fft(data[:,0])\n",
    "plt.figure()\n",
    "plt.semilogy(abs(dataf))\n",
    "#plt.xlim([0,10000])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eaed4731-e16f-4feb-a3da-2a8401c8fc19",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataf"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a08054cd",
   "metadata": {},
   "source": [
    "#### 3. Stationary regime\n",
    "Compute the Fourier spectrum of the data, in the quasi-stationary regime, using the Welch method (`welch` function in Scipy, read the documentation of this function). Plot the data (choose between linear of logarithmic scales). Compare the different intensities and the different gongs). Optimize the values of the different parameters of the `welch`method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "d047ddd2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(765467, 2)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rate, data = wav.read('gros-statio.wav')\n",
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "a584619a-3598-4ff2-b88c-abcd2bcca111",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 5000.0)"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f , P = sig.welch(data[:,0], fs=44100, nperseg=44100)\n",
    "plt.figure()\n",
    "plt.semilogy(f,P)\n",
    "plt.xlim([0,5000])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb952b26",
   "metadata": {},
   "source": [
    "#### 4. Transitory regime\n",
    "To study the transitory part of the signal (at the beginning), one needs to compute the evolution of the frequency content as a function of time. The adapted tool for this is the spectrogram. It consists in computing the Fourier transform of successive short time wondows of the signal. \n",
    "\n",
    "Compute the spectrogram of one of your signals (use the `spectrogram` function from `scipy`, read the doc). Show the result in a figure. Optimise the values of the parameters to make the figure more readable, especially at the beginning of the relevant sound. To make the computation faster, it is relevant to restrict the computation to the most interesting part of the signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "id": "a8dc58f6",
   "metadata": {},
   "outputs": [],
   "source": [
    "rate, data = wav.read('petit-fort-haut.wav')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "id": "8dd51378",
   "metadata": {},
   "outputs": [],
   "source": [
    "f , t , P = sig.spectrogram(data[:,0], fs=44100, noverlap=20000,window=('tukey', 0.25), nperseg=22000)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39e38a06",
   "metadata": {},
   "source": [
    "#### Compare the different experiments and different gongs. Comment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "id": "2f3da2a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 50.0, 0.0, 1000.0)"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.pcolormesh(t,f,np.log10(abs(P)),cmap='jet')\n",
    "plt.colorbar()\n",
    "plt.axis([0,50,0,1000])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "id": "f5c9c365-45ce-41ef-adc8-74948a9e5664",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(22051, 159)"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04ffdb30",
   "metadata": {},
   "source": [
    "# Spatial measurement: time-resolved profilometry \n",
    "\n",
    "In order to understand more the acoustic observation, we would like to have a spatial measurement of vibration. For this we will use the Fourier Transform Profilometry technique described by the article by Maurel et al. \"Experimental and theoretical inspection of the phase-to-height relation in Fourier transform profilometry\" Applied Optics 2009. Ask your professor to explain you the principle.\n",
    "\n",
    "#### 1. Optimise the setup to perform the measurement on the biggest gong. Record a few images with static gong and with a homogeneous image.\n",
    "\n",
    "#### 2. Parameters of the method\n",
    "Identify the parameters of the method that you have to measure to be able to process the images to obtain the deformation of the gong. Give the values. Explain how you choose the frame rate of the camera."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a940fd98",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "78d8a704",
   "metadata": {},
   "source": [
    "#### 3. Define a protocol to be able to record the motion in the stationary regime. Record the movie. Give the settings of the camera. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0538addb",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "3216cfb4",
   "metadata": {},
   "source": [
    "#### 4. Ask your professor to show you the various steps of the image processing. The actual processing takes time and will be perform later on"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a67484c",
   "metadata": {},
   "source": [
    "#### 5. Load the data from the profilometry. You can use the `netCDF4` library.  The signal is a 3 dimensional matrix $h(x,y,t)$. At some point, you will have to concatenate the data from several files to have a long enough duration of the loaded data (use the ` concatenate` function from `numpy`). We are rather interested in the normal velocity signal rather than the deformation. Compute the velocity by simple finite difference. Show a snapshot of the velocity at a given time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ebf5e575",
   "metadata": {},
   "outputs": [],
   "source": [
    "import netCDF4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "45a97690",
   "metadata": {},
   "outputs": [],
   "source": [
    "# parameters for this part\n",
    "# Nb files to concatenate\n",
    "Nf=16\n",
    "# index of first file\n",
    "N1=1\n",
    "# number of windows for Welch method\n",
    "Nw=4;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8841d6bf",
   "metadata": {},
   "outputs": [],
   "source": [
    "fname=\"imt\"+f\"{N1}\"+\".nc\"\n",
    "print(fname)\n",
    "nc = netCDF4.Dataset(fname)\n",
    "h=nc.variables['h']\n",
    "#the dimensions are flipped compared to matlab: t,x,y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7ca57f4d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "8ee33698",
   "metadata": {},
   "source": [
    "#### We want to compute the Fourier spectrum in both $(\\vec k,\\omega)$ space. \n",
    "For this we will use the Welch method and compute  $$S(\\vec k,\\omega)=\\langle |\\hat v(\\vec k,\\omega)|^2\\rangle$$ The Fourier transform in space will be performed over all available space but the Fourier transform in time will be performed over a window of finite duration $T$ that you have to choose. $T$ must be long enough to get a good resolution in frequency. The average $\\langle \\cdot \\rangle$ is then performed over successive time windows.\n",
    "\n",
    "As the signal is not periodic neither in space and time, a Hanning (or other) window must be used in all dimensions (space and time). The 3D Hanning window can be computed from 1D Hanning windows simply by $$h_{3D}(x,y,t)=h_x(x)h_y(y)h_t(t)$$ where $h_i$ is the Hanning window in the $i$ dimension. The spectrum is then computed by performing the Fourier transform of $v(x,y,t)h_{3D}(x,y,t)$.\n",
    "\n",
    "#### 6. Compute the 3D hanning window for your choice of $T$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a226978d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# parameters for this part\n",
    "# Nb files to concatenate\n",
    "Nf=8\n",
    "# index of first file\n",
    "N1=1\n",
    "# number of windows for Welch method\n",
    "Nw=25;\n",
    "\n",
    "Lx=65;\n",
    "Ly=50;\n",
    "\n",
    "hx=np.hanning(Lx)\n",
    "hy=np.hanning(Ly)\n",
    "ht=np.hanning(Nf*500-1)\n",
    "h2D=np.zeros((Lx,Ly))\n",
    "for i in range(0,Lx):\n",
    "    h2D[i,:]=hy*hx[i]\n",
    "h3D=np.zeros((Nf*500-1,Lx,Ly))\n",
    "for i in range(0,Nf*500-1):\n",
    "    h3D[i,:,:]=h2D*ht[i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "803e4ee3",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "827f2a1d",
   "metadata": {},
   "source": [
    "#### 7. By loading successive time windows of the signal (at least 4), compute the spectrum $S(\\vec k,\\omega)$.  For a faster computation, you should use the `fft` function from `scipy` with the option `workers=-1` or  use `workers=c` were `c` is the number of logical processors of your computer (for example `fft.fftn(v*h3D,workers=-1`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "863b35ed",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "85e04065",
   "metadata": {},
   "source": [
    "#### 8. Plot a slice of the spectrum (which is a 3D matrix) to show that the vibration is indeed made of waves. The dispersion relation of the bending waves of a flat plate is $\\omega=Ck^2$. Is it consistent with your observation ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "64b8caff",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "beff771a",
   "metadata": {},
   "source": [
    "#### 9. From the 3D spectrum, compute the frequency only spectrum $S(\\omega)$. Plot it in a figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c55d7328",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cfb89ef5",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "190e6267",
   "metadata": {},
   "source": [
    "The spectrum is made of a large collection of peaks. To understand the reason why the spectrum is not continuous as expected from the weak turbulence theory, we would like to see the deformation associated to each one of these peaks. For this we can compute $\\langle|v(x,y,\\omega)|.^2\\rangle$ using the Welch method. In this case, a Hanning function can be used only in the time dimension.\n",
    "\n",
    "#### 10. Why should one use the modulus square and not simply $\\langle v(x,y,\\omega)\\rangle$ ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "415b7368",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "0ddd29ad",
   "metadata": {},
   "source": [
    "#### 11. Compute the relevant Hanning window and $\\langle|v(x,y,\\omega)|.^2\\rangle$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b723bf18",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "27e6e100",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "ce4614a1",
   "metadata": {},
   "source": [
    "#### 12. For the lowest frequency peaks in the spectrum, show the result. Comment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c0f94dd7",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e99de3e7",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7896a673",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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