From 5eaa3ce2b4aed2ea3cb9dc1da2c428806d059fda Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Fri, 20 Nov 2015 12:30:12 +0100 Subject: [PATCH] exercises for sta and reconstruction --- pointprocesses/code/binnedRate.m | 19 ++++ pointprocesses/code/convolutionRate.m | 24 +++++ pointprocesses/code/instantaneousRate.m | 22 +++++ pointprocesses/code/reconstructStimulus.m | 19 ++++ pointprocesses/code/spikeTriggeredAverage.m | 32 +++++++ pointprocesses/code/sta_data.mat | Bin 0 -> 1564846 bytes pointprocesses/lecture/pointprocesses.tex | 55 +++++++++--- pointprocesses/lecture/sta.py | 93 +++++++++++--------- 8 files changed, 210 insertions(+), 54 deletions(-) create mode 100644 pointprocesses/code/binnedRate.m create mode 100644 pointprocesses/code/convolutionRate.m create mode 100644 pointprocesses/code/instantaneousRate.m create mode 100644 pointprocesses/code/reconstructStimulus.m create mode 100644 pointprocesses/code/spikeTriggeredAverage.m create mode 100644 pointprocesses/code/sta_data.mat diff --git a/pointprocesses/code/binnedRate.m b/pointprocesses/code/binnedRate.m new file mode 100644 index 0000000..fd8996d --- /dev/null +++ b/pointprocesses/code/binnedRate.m @@ -0,0 +1,19 @@ +function [time, rate] = binned_rate(spike_times, bin_width, dt, t_max) +% Calculates the firing rate with the binning method. The hist funciton is +% used to count the number of spikes in each bin. +% Arguments: +% spike_times, vector containing the times of the spikes. +% bin_width, the width of the bins in seconds. +% dt, the temporal resolution. +% t_max, the tiral duration. +% +% Returns two vectors containing the time and the rate. + +time = 0:dt:t_max-dt; +bins = 0:bin_width:t_max; +rate = zeros(size(time)); + +h = hist(spike_times, bins) ./ bin_width; +for i = 2:length(bins) + rate(round(bins(i - 1) / dt) + 1:round(bins(i) / dt)) = h(i); +end diff --git a/pointprocesses/code/convolutionRate.m b/pointprocesses/code/convolutionRate.m new file mode 100644 index 0000000..31bd06d --- /dev/null +++ b/pointprocesses/code/convolutionRate.m @@ -0,0 +1,24 @@ +function [time, rate] = convolution_rate(spike_times, sigma, dt, t_max) +% Calculates the firing rate with the convolution method. +% Arguments: +% spike_times, a vector containing the spike times. +% sigma, the standard deviation of the Gaussian kernel in seconds. +% dt, the temporal resolution in seconds. +% t_max, the trial duration in seconds. +% +% Returns two vectors containing the time and the rate. + +time = 0:dt:t_max - dt; +rate = zeros(size(time)); +spike_indices = round(spike_times / dt); +rate(spike_indices) = 1; +kernel = gauss_kernel(sigma, dt); + +rate = conv(rate, kernel, 'same'); +end + + +function y = gauss_kernel(s, step) + x = -4 * s:step:4 * s; + y = exp(-0.5 .* (x ./ s) .^ 2) ./ sqrt(2 * pi) / s; +end diff --git a/pointprocesses/code/instantaneousRate.m b/pointprocesses/code/instantaneousRate.m new file mode 100644 index 0000000..c8a4da5 --- /dev/null +++ b/pointprocesses/code/instantaneousRate.m @@ -0,0 +1,22 @@ +function [time, rate] = instantaneous_rate(spike_times, dt, t_max) +% Function calculates the firing rate as the inverse of the interspike +% interval. +% Arguments: +% spike_times, vector containing the times of the spikes. +% dt, the temporal resolutions of the recording. +% t_max, the duration of the trial. +% +% Returns the vector representing time and a vector containing the rate. + +time = 0:dt:t_max-dt; +rate = zeros(size(time)); + +isis = diff([0 spike_times]); +inst_rate = 1 ./ isis; +spike_indices = [1 round(spike_times ./ dt)]; + +for i = 2:length(spike_indices) + rate(spike_indices(i - 1):spike_indices(i)) = inst_rate(i - 1); +end + + diff --git a/pointprocesses/code/reconstructStimulus.m b/pointprocesses/code/reconstructStimulus.m new file mode 100644 index 0000000..51cb0b1 --- /dev/null +++ b/pointprocesses/code/reconstructStimulus.m @@ -0,0 +1,19 @@ +function s_est = reconstructStimulus(spike_times, sta, stim_duration, dt) +% Function estimates the stimulus from the Spike-Triggered-Average +% (sta). +% Arguments: +% spike_times, a vector containing the spike times in seconds. +% sta, a vector containing the spike-triggered-average. +% stim_duration, the total duration of the stimulus. +% dt, the sampling interval given in seconds. +% +% Returns: +% the estimated stimulus. + +s_est = zeros(round(stim_duration / dt), 1); + +binary_spikes = zeros(size(s_est)); +binary_spikes(round(spike_times ./ dt)) = 1; + +s_est = conv(binary_spikes, sta, 'same'); + diff --git a/pointprocesses/code/spikeTriggeredAverage.m b/pointprocesses/code/spikeTriggeredAverage.m new file mode 100644 index 0000000..6954f43 --- /dev/null +++ b/pointprocesses/code/spikeTriggeredAverage.m @@ -0,0 +1,32 @@ +function [sta, std_sta, valid_spikes] = spikeTriggeredAverage(stimulus, spike_times, count, sampling_rate) +% Function estimates the Spike-Triggered-Average (sta). +% +% Arguments: +% stimulus, a vector containing stimulus intensities +% as a function of time. +% spike_times, a vector containing the spike times +% in seconds. +% count, the number of datapoints that are taken around +% the spike times. +% sampling_rate, the sampling rate of the stimulus. +% +% Returns: +% the sta, a vector containing the staandard deviation and +% the number of spikes taken into account. + +snippets = zeros(numel(spike_times), 2*count); +valid_spikes = 1; +for i = 1:numel(spike_times) + t = spike_times(i); + index = round(t*sampling_rate); + if index <= count || (index + count) > length(stimulus) + continue + end + snippets(valid_spikes,:) = stimulus(index-count:index+count-1); + valid_spikes = valid_spikes + 1; +end + +snippets(valid_spikes:end,:) = []; + +sta = mean(snippets, 1); +std_sta = std(snippets,[],1); diff --git a/pointprocesses/code/sta_data.mat b/pointprocesses/code/sta_data.mat new file mode 100644 index 0000000000000000000000000000000000000000..74059cf5bebea459ea40a3f33ff4928614117442 GIT binary patch literal 1564846 zcma%iWl$VUuq{pq?!h4h*8ss?g1bAx2^L%z3GNzPgS)%C1r~R=1r}d?S-9V=y6^v+ z>QmKIH9gh+qess4C`)K5Nk~$EW9Ot+me69ewsWvzrB-wJ;co5h>L^GptE8eQ!OO!+ zE#+$U!`;e~+Sy5v`n#(gwTiPRH5VuKS1!S?-vl{1|I@#IqyGPFaR0Bt%PV95r?dPA z@0pn2;4k4M~tU-6|B&=3(Bw2W5tkMC)@+5O zSDX6aruGp1%g1fPxFq?jJX6B5w_S|;V5qG#G#a>E!^~$-;eILDQg3wY>us?*iSBdH 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