{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import print_function\n", "from numpy import nan_to_num, array, empty_like, empty, vstack, concatenate, linspace, tile\n", "from scipy.signal import filtfilt, butter\n", "import matplotlib.pyplot as plt\n", "import pickle\n", "import gzip" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Building extended covariance matrices for EEG-based BCI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading EEG data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data are freely available from [GitHub](https://github.com/sylvchev/dataset-ssvep-exoskeleton/). The stimulation onsets are indicated in `event_pos` and the stimulation of `event_type` are coded as follow: 33024, 33025, 33026 and 33027 denote respectively the resting class, the 13 Hz, the 21 Hz and the 17 Hz stimulations. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "with gzip.open('./EEG-recording-subject12-trial2.pz', 'rb') as f:\n", " o = pickle.load(f)\n", "raw_signal = o['raw_signal'].T\n", "event_pos = o['event_pos'].reshape((o['event_pos'].shape[0]))\n", "event_type = o['event_type'].reshape((o['event_type'].shape[0]))\n", "sample_rate = 256\n", "classes = ['Resting', '13Hz', '21Hz', '17Hz']\n", "channels = array(['Oz','O1','O2','PO3','POz','PO7','PO8','PO4'])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "labels = list()\n", "for e in event_type:\n", " if e == 33024: labels.append('Resting')\n", " elif e == 33025: labels.append('13Hz')\n", " elif e == 33026: labels.append('21Hz')\n", " elif e == 33027: labels.append('17Hz')\n", "labels = array(labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualization of raw EEG data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot few seconds of signal from the `Oz` electrode." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_seconds = 5\n", "time = linspace(0, n_seconds, n_seconds * sample_rate).reshape((1, n_seconds * sample_rate))\n", "plt.figure()\n", "_ = plt.plot(time.T, raw_signal[channels == 'Oz', :n_seconds*sample_rate].T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And a fewer seconds of all electrodes:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEACAYAAABYq7oeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_seconds = 2\n", "time = linspace(0, n_seconds, n_seconds * sample_rate).reshape((1, n_seconds * sample_rate))\n", "plt.figure()\n", "_ = plt.plot(time.T, raw_signal[:, :n_seconds*sample_rate].T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extended signals for spatial covariance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the approach proposed by [Congedo, 2013], the SSVEP signal $X \\in \\mathbb{R}^{C \\times N}$ is extended to include the filtered signal for each stimulation frequency. The extended signal $X_{\\mathrm{ext}}$ is defined as:\n", "\n", "\\begin{equation}\n", "X_{\\mathrm{ext}} = \t\n", "\\begin{bmatrix}\n", " X_{\\text{freq}_1}\\\\ \n", "\\vdots \\\\\n", "X_{\\text{freq}_{F}} \\\\\n", "\\end{bmatrix}\n", "\\in \\mathbb{R}^{FC \\times N} \\ ,\n", "\\end{equation}\n", "Where $C$, $N$, and $F$ are respectively the number of channels, number of samples, anf number of stimululation frequency.\n", "\n", "Thus we need to define a fonction for filtering the signal with a $5^{\\mathrm{th}}$ order bandpass Butterworth filter around the stimulation frequency." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def butter_bandpass(signal, lowcut, highcut, fs, order=4):\n", " nyq = 0.5 * fs\n", " low = lowcut / nyq\n", " high = highcut / nyq\n", " b, a = butter(order, [low, high], btype='band')\n", " filtered = filtfilt(b, a, signal, axis=1)\n", " return filtered" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can construct the extended signal $E_{\\mathrm{ext}}$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "frequencies = [13., 17., 21.]\n", "freq_band = 0.1 \n", "ext_signal = empty_like(raw_signal[0,:]) \n", "for f in frequencies:\n", " ext_signal = vstack((ext_signal, butter_bandpass(raw_signal, lowcut=f-freq_band, \n", " highcut=f+freq_band, fs=sample_rate)))\n", "ext_signal = ext_signal[1:,:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The trial start is indicated by the code 32779, best option is to wait 2 seconds after cue onset (see [this article](http://authors.elsevier.com/sd/article/S0925231216000540) for detailled analysis). To ensure the robustness of this approach, spatial covariance matrices estimated from 3 seconds of EEG signals offers very good results." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "trials = list()\n", "for e, t in zip(event_type, event_pos):\n", " if e == 32779: # start of a trial\n", " start = t + 2*sample_rate\n", " stop = t + 5*sample_rate\n", " trials.append(ext_signal[:, start:stop])\n", "trials = array(trials)\n", "trials = trials - tile(trials.mean(axis=2).reshape(trials.shape[0], trials.shape[1], 1), (1, 1, trials.shape[2]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualization of filtered signal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the `Oz` signal filtered at the different frequencies:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAEACAYAAACUMoD1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhsARioODg4PDhsARioODg4PDhuD/B0aym03vRZ6iAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_seconds = 3\n", "time = linspace(0, n_seconds, n_seconds * sample_rate).reshape((1, n_seconds * sample_rate))\n", "plt.figure()\n", "_ = plt.plot(time.T, trials[2, 0, :].T, label=str(frequencies[0])+' Hz')\n", "_ = plt.plot(time.T, trials[2, 8, :].T, label=str(frequencies[1])+' Hz')\n", "_ = plt.plot(time.T, trials[2, 16, :].T, label=str(frequencies[2])+' Hz')\n", "_ = plt.legend(loc='upper left')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As it can be seen on this example, the subject is watching the 17Hz stimulation and the EEG activity is showing an increase activity in this frequency band as the focus is more and more focus on the blinking stimulation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spatial covariance estimation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this part, an install of the [pyRiemann toolbox](https://github.com/alexandrebarachant/pyRiemann) from Alexandre Barachant is required. It is very easy to setup, all the information to install this package are provided on the GitHub page." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from pyriemann.estimation import Covariances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The covariance matrices will be estimated using the Ledoit-Wolf shrinkage estimator." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "cov_trials = Covariances(estimator='lwf').transform(trials)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualisation of the covariance matrices" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The matrix plot shows the block structure resulting from the extended signal. Most of the signal energy is concentrated in the 13 Hz frequency band." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD7CAYAAABKWyniAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEMEHCvp/RmMA8FEn2r4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "_ = plt.imshow(cov_trials[0, :, :], cmap=plt.get_cmap('RdPu'), interpolation='nearest')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next plot shows an example of the covariance matrix observe for each class:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaUAAAGxCAYAAADClakjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 7))\n", "for i, l in enumerate(classes):\n", " plt.subplot(2, 2, i+1)\n", " plt.imshow(cov_trials[labels == l, :, :][0, :, :], cmap=plt.get_cmap('RdPu'), interpolation='nearest')\n", " _ = plt.title(l)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It appears clearly that each class yields a different structure of the covariance matrix. Each stimulation (13, 17 and 21 Hz) generating higher covariance values for EEG signal filtered at the proper bandwith and no activation at all for the other bandwith. The resting state, where the subject focus on the center of the display and far from all blinking stimulations, shows an activity with higher correlation in the 13Hz frequency and lower but still visible activity in the other bandwith. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Training and testing set" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To ease the classification, the covariance matrices will be separated in a training and a testing set. There is 8 trials per class, so the training set gather the first 5 trials for each class, the testing set get the 3 last trials." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "cov_train = empty((1, 24, 24))\n", "cov_test = empty((1, 24, 24))\n", "y_train = list()\n", "y_test = list()\n", "for l in classes:\n", " cov_train = concatenate((cov_train, cov_trials[labels == l, :, :][:5, :, :]), axis=0)\n", " y_train.extend(5*[l])\n", " cov_test = concatenate((cov_test, cov_trials[labels == l, :, :][5:, :, :]), axis=0)\n", " y_test.extend(3*[l])\n", "cov_train = cov_train[1:, :, :]\n", "cov_test = cov_test[1:, :, :]\n", "y_train = array(y_train)\n", "y_test = array(y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will save all this data and use machine learning techniques in another notebook." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with gzip.open('data_sample_covariance.pz', 'wb') as f:\n", " o = {'cov_train':cov_train, 'cov_test':cov_test, \n", " 'y_train':y_train, 'y_test':y_test, 'classes':classes}\n", " pickle.dump(o, f)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }