{ "metadata": { "name": "", "signature": "sha256:a201358a4adfc45da5e202db37ec367506ffe745c46666b00eb825efc13dee9c" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Explore Data from OpenBCI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "EEG Hacker, 2015-01-17, MIT License" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Purpose" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "OpenBCI data file. Do some simple visualizations to make sure that it looks OK." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Prepare" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we have to import some libraries...though this might be done automagically for IPython Notebooks...I'm not sure." ] }, { "cell_type": "code", "collapsed": true, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import matplotlib.mlab as mlab" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Load the Data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Define Data to Load...be sure to UNZIP the data!!!\n", "pname = 'SavedData/'\n", "\n", "if (0): \n", " fname = 'OpenBCI-RAW-2015-01-24_12-13-06_eyesOpen_noCaffeine.txt'\n", " t_lim_sec = [150.0, 290.0]\n", "else:\n", " fname = 'OpenBCI-RAW-2015-01-24_12-25-42_eyesClosed_noCaffeine.txt'\n", " t_lim_sec = [60.0, 180.0]\n", " \n", "# load data into numpy array\n", "fs_Hz = 250.0 # assumed sample rate for the EEG data\n", "data = np.loadtxt(pname + fname,\n", " delimiter=',',\n", " skiprows=5)\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Check the Packet Counter" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# check the packet counter for dropped packets\n", "data_indices = data[:, 0] # the first column is the packet index\n", "d_indices = data_indices[2:]-data_indices[1:-1]\n", "n_jump = np.count_nonzero((d_indices != 1) & (d_indices != -255))\n", "print(\"Number of discontinuities in the packet counter: \" + str(n_jump))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Number of discontinuities in the packet counter: 11\n" ] } ], "prompt_number": 27 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Unpack the Data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# parse the data out of the values read from the text file\n", "eeg_data_uV = data[:, 1:(8+1)] # EEG data, microvolts\n", "#accel_data_counts = data[:, 9:(11+1)] # note, accel data is NOT in engineering units\n", "\n", "# convert units\n", "#unused_bits = 4 #the 4 LSB are unused?\n", "#accel_data_counts = accel_data_counts / (2**unused_bits) # strip off this extra LSB\n", "#scale_G_per_count = 0.002 # for full-scale = +/- 4G, scale is 2 mG per count\n", "#accel_data_G = scale_G_per_count*accel_data_counts # convert to G\n", "\n", "# create a vector with the time of each sample\n", "t_sec = np.arange(len(eeg_data_uV[:, 0])) / fs_Hz" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 28 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Plot the EEG Data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# plot each channel of EEG data...raw\n", "nchan = 1 #normally 8 or 16\n", "ncol = 1; \n", "nrow = nchan / ncol\n", "plt.figure(figsize=(ncol*10, nrow*5))\n", "for Ichan in range(nchan): \n", " plt.subplot(nrow,ncol,Ichan+1)\n", " plt.plot(t_sec,eeg_data_uV[:, Ichan])\n", " plt.xlabel(\"Time (sec)\") \n", " plt.ylabel(\"Raw EEG (uV)\")\n", " plt.title(\"Channel \" + str(Ichan+1))\n", " plt.xlim(t_lim_sec)\n", " #plt.ylim([-1.5, 1.5])\n", "\n", "plt.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAskAAAFjCAYAAADPWpb4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nB/+IFMUZUVrqAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Spectrograms" ] }, { "cell_type": "code", "collapsed": false, "input": [ "NFFT = 256*2 # pitck the length of the fft\n", "FFTstep = 0.5*fs_Hz # do a new FFT every half second\n", "overlap = NFFT - FFTstep # half-second steps\n", "f_lim_Hz = [0, 50] # frequency limits for plotting\n", "\n", "plt.figure(figsize=(ncol*10, nrow*5))\n", "for Ichan in range(nchan): \n", " ax = plt.subplot(nrow,ncol,Ichan+1)\n", " data = np.array(eeg_data_uV[:,Ichan])\n", " data = data - np.mean(data,0)\n", " spec_PSDperHz, freqs, t = mlab.specgram(data,\n", " NFFT=NFFT,\n", " window=mlab.window_hanning,\n", " Fs=fs_Hz,\n", " noverlap=overlap\n", " ) # returns PSD power per Hz\n", " spec_PSDperBin = spec_PSDperHz * fs_Hz / float(NFFT) #convert to \"per bin\"\n", "\n", " plt.pcolor(t, freqs, 10*np.log10(spec_PSDperBin)) # dB re: 1 uV\n", " plt.clim(20-7.5-3.0+np.array([-30, 0]))\n", " #plt.xlim(t_sec[0], t_sec[-1])\n", " plt.xlim(np.array(t_lim_sec)+np.array([-10, 10]))\n", " #plt.ylim([0, fs_Hz/2.0]) # show the full frequency content of the signal\n", " plt.ylim(f_lim_Hz)\n", " plt.xlabel('Time (sec)')\n", " plt.ylabel('Frequency (Hz)')\n", " plt.title(\"Channel \" + str(Ichan+1))\n", "\n", " # add annotation for FFT Parameters\n", " ax.text(0.025, 0.95,\n", " \"NFFT = \" + str(NFFT) + \"\\nfs = \" + str(int(fs_Hz)) + \" Hz\",\n", " transform=ax.transAxes,\n", " verticalalignment='top',\n", " horizontalalignment='left',\n", " backgroundcolor='w')\n", " plt.colorbar()\n", "\n", "plt.tight_layout()\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAosAAAFjCAYAAABVFUFlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Compute Average Spectrum" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#find spectrum slices within the time period of interest\n", "ind = ((t > t_lim_sec[0]) & (t < t_lim_sec[1]))\n", "\n", "#get the mean spectrum in that time\n", "spectrum_PSDperHz = np.mean(spec_PSDperHz[:,ind],1) #time is horizontal in the 2D array?\n", "\n", "#plot\n", "plt.figure(figsize=(ncol*10, nrow*5))\n", "ax = plt.subplot(nrow,ncol,Ichan+1)\n", "plt.plot(freqs, 10*np.log10(spectrum_PSDperHz)) # dB re: 1 uV\n", "#plt.xlim([0, fs_Hz/2.0]) # show the full frequency content of the signal\n", "#plt.xlim(f_lim_Hz)\n", "plt.xlim([30, 50])\n", "plt.ylim([-15.0, 0.0])\n", "plt.plot(38.0*np.array([1, 1]),ax.get_ylim(),'k--',linewidth=2)\n", "plt.plot(40.0*np.array([1, 1]),ax.get_ylim(),'k--',linewidth=2)\n", "plt.plot(42.0*np.array([1, 1]),ax.get_ylim(),'k--',linewidth=2)\n", "plt.xlabel('Frequency (Hz)')\n", "plt.ylabel('PSD per Hz (dB re: 1uV^2/Hz)')\n", "plt.title(\"Channel \" + str(Ichan+1))\n", "\n", "# add annotation for FFT Parameters\n", "ax.text(1-0.025, 0.95,\n", " \"NFFT = \" + str(NFFT) + \"\\nfs = \" + str(int(fs_Hz)) + \" Hz\",\n", " transform=ax.transAxes,\n", " verticalalignment='top',\n", " horizontalalignment='right',\n", " backgroundcolor='w')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 31, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAmgAAAFRCAYAAADAclGxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "spec_PSDperBin[1,1]\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "71350.559106368106" ] } ], "prompt_number": 32 } ], "metadata": {} } ] }