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scientificComputing/projects/project_ficurves/solution/convolutionRate.m

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Matlab

function [time, rate] = convolution_rate(spikes, sigma, dt, t_max)
% PSTH computed with convolution method.
%
% [time, rate] = convolution_rate(spikes, sigma, dt, t_max)
%
% Arguments:
% spikes: 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(spikes / dt);
rate(spike_indices) = 1;
kernel = gaussKernel(sigma, dt);
rate = conv(rate, kernel, 'same');
end
function y = gaussKernel(s, step)
x = -4 * s:step:4 * s;
y = exp(-0.5 .* (x ./ s) .^ 2) ./ sqrt(2 * pi) / s;
end