{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Looking at EEG power spectra" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we examine a number of ways in which the frequency content of EEG data can be assessed.\n", "\n", "We use the N170 dataset as an example, but the following can be used with minimal adjustments with any eeg or time series data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import sys\n", "eegnb_dir = \"C:\\\\Users\\\\john_griffiths\\\\Code\\\\libraries_of_mine\\\\github\\\\eeg-notebooks\"\n", "sys.path.append(eegnb_dir)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Generic imports\n", "import os,sys,glob,numpy as np, pandas as pd\n", "\n", "# we're currently in sandbox (i.e. test / dev area.)\n", "# but we want the behaviour to be as if we're in one dir up; so move there now\n", "os.chdir('../')\n", "\n", "# eeg-notebooks utils\n", "from utils import utils \n", "\n", "# mne functions\n", "from mne import Epochs, find_events\n", "from mne.time_frequency import psd_welch\n", "\n", "# visualization stuff\n", "%matplotlib inline \n", "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", "\n", "# others\n", "from scipy.signal import welch" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use session 1, subject 1 from the eeg notebooks example N170 dataset" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30720\n", " Range : 0 ... 30719 = 0.000 ... 119.996 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=5, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n" ] } ], "source": [ "subject = 1\n", "session = 1\n", "raw = utils.load_data('visual/N170', sfreq=256., \n", " subject_nb=subject, session_nb=session)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate PSD for a raw (non-epoched) recording" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the simplest option." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Effective window size : 1.000 (s)\n" ] } ], "source": [ "# compute the poweer spectral density (PSD) using \n", "# the MNE psd_welch function\n", "# (this is simply a wrapper on scipy.signal.welch\n", "# that adds compatbility for MNE data types)\n", "\n", "psd,freqs = psd_welch(raw)\n", "\n", "# Place in a pandas dataframe for convenience\n", "\n", "df_psd = pd.DataFrame(psd, columns=freqs).T\n", "df_psd.columns = raw.ch_names[:4]\n", "df_psd.index.names = ['freq']\n", "df_psd.columns.names = ['chan']" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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chanTP9AF7AF8TP10
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1.04.834027e-117.087248e-125.778365e-126.940097e-11
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3.06.414010e-113.632046e-121.375676e-126.852216e-11
4.04.564189e-112.447174e-121.015633e-124.741013e-11
5.02.399177e-111.383455e-128.356244e-132.572205e-11
6.01.053377e-118.235806e-136.736721e-131.132447e-11
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" ], "text/plain": [ "chan TP9 AF7 AF8 TP10\n", "freq \n", "0.0 7.857495e-12 8.728770e-13 9.292256e-13 1.154006e-11\n", "1.0 4.834027e-11 7.087248e-12 5.778365e-12 6.940097e-11\n", "2.0 7.097305e-11 4.820972e-12 2.761128e-12 7.803431e-11\n", "3.0 6.414010e-11 3.632046e-12 1.375676e-12 6.852216e-11\n", "4.0 4.564189e-11 2.447174e-12 1.015633e-12 4.741013e-11\n", "5.0 2.399177e-11 1.383455e-12 8.356244e-13 2.572205e-11\n", "6.0 1.053377e-11 8.235806e-13 6.736721e-13 1.132447e-11\n", "7.0 5.375513e-12 6.215222e-13 5.176218e-13 5.815875e-12\n", "8.0 3.451319e-12 4.510599e-13 4.286293e-13 3.447529e-12\n", "9.0 2.929786e-12 3.904274e-13 4.247347e-13 2.907828e-12" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# (reminder: pandas dataframes are like a bit like excel spreadsheets. \n", "# You can view their contents within notebooks with commands like the following: \n", "\n", "df_psd.iloc[:10,:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the full power spectrum" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,4))\n", "df_psd.plot(logy=True,ax=ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Double checking this agains the MNE `plot_psd` function, which should compute and plot the same numbers (with a few small differences in scaling and visualization):" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Effective window size : 8.000 (s)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "raw.plot_psd();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember, the 60Hz spike in the power spectrum is an artifact due to the pervasive mains electricity background noise. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, calculate the average power within a set of pre-defined canonical frequency bands" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# These are the conventional EEG frequency band names and ranges\n", "\n", "freqs = ['delta', 'theta', 'alpha', 'beta', 'lowgamma', 'midgamma']\n", "\n", "freq_bands = dict(delta = [0.5,2],\n", " theta = [4,8], \n", " alpha = [8,12], \n", " beta = [12,20],\n", " lowgamma=[20,30],\n", " midgamma=[30,50])\n", "\n", "# Average the power within each of these bands\n", "\n", "psd_fb = {}\n", "for band_name, (rlow,rhigh) in freq_bands.items():\n", " psd_fb[band_name] = df_psd.loc[rlow:rhigh].mean(axis=0)\n", "\n", " \n", "# Put in a pandas dataframe\n", "\n", "df_psd_fb = pd.DataFrame(psd_fb).T.loc[freqs]\n", "df_psd_fb.index.names = ['freq band']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now plot the power in each frequency band for the four sensors:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(ncols=2, nrows=2,figsize=(12,8))\n", "\n", "sens,thisax = 'AF7', ax[0][0]\n", "df_psd_fb[sens].plot(kind='bar', ax=thisax,logy=True)\n", "thisax.set_title(sens)\n", "\n", "sens,thisax = 'AF8', ax[0][1]\n", "df_psd_fb[sens].plot(kind='bar', ax=thisax,logy=True)\n", "thisax.set_title(sens)\n", "\n", "sens,thisax = 'TP9', ax[1][0]\n", "df_psd_fb[sens].plot(kind='bar', ax=thisax,logy=True)\n", "thisax.set_title(sens)\n", "\n", "sens,thisax = 'TP10', ax[1][1]\n", "df_psd_fb[sens].plot(kind='bar', ax=thisax,logy=True)\n", "thisax.set_title(sens)\n", "\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Complementary plot: power for each frequency band as a function of sensor:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=6, figsize=(8,20))\n", "\n", "\n", "chans = ['AF7', 'AF8', 'TP9', 'TP10']\n", "\n", "thisfreq,thisax = 'delta', ax[0]\n", "df_psd_fb[chans].loc[thisfreq].plot(kind='bar',ax=thisax,logy=True)\n", "thisax.set_title(thisfreq);\n", "\n", "thisfreq,thisax = 'theta', ax[1]\n", "df_psd_fb[chans].loc[thisfreq].plot(kind='bar',ax=thisax,logy=True)\n", "thisax.set_title(thisfreq);\n", "\n", "thisfreq,thisax = 'alpha', ax[2]\n", "df_psd_fb[chans].loc[thisfreq].plot(kind='bar',ax=thisax,logy=True)\n", "thisax.set_title(thisfreq);\n", "\n", "thisfreq,thisax = 'beta', ax[3]\n", "df_psd_fb[chans].loc[thisfreq].plot(kind='bar',ax=thisax,logy=True)\n", "thisax.set_title(thisfreq);\n", "\n", "thisfreq,thisax = 'lowgamma', ax[4]\n", "df_psd_fb[chans].loc[thisfreq].plot(kind='bar',ax=thisax,logy=True)\n", "thisax.set_title(thisfreq);\n", "\n", "thisfreq,thisax = 'midgamma', ax[5]\n", "df_psd_fb[chans].loc[thisfreq].plot(kind='bar',ax=thisax,logy=True)\n", "thisax.set_title(thisfreq);\n", "\n", "\n", "plt.tight_layout()" ] } ], "metadata": { "kernel_info": { "name": "mne" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.1" }, "nteract": { "version": "0.8.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": true, "title_cell": "Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 4 }