Signal auto-correlation in matlab (xcorr function)

Hi!

I am working on an EEG-electrophysiology dataset ('csd'). It is structured as a 3D array (channels x time x trials). The dimensions are 16x1527x200.

I am trying to calculate trial-averaged autocorrelation for each channel and I am getting the error message below. I think it has to do with the last part of my loop? The dimensions of the ac0 output (dot products) are 1x201 for some reason, I think the way the function is built, it adds one more column?

Any help would be great!

[Mathieu NOE]

if you expect someone to help you , it's good practice to share some code and data

[Panos Kerezoudis]

Absolutely. The code is below. I cannot share data unfortunately (confidentiality reasons).

% Calculate trial-averaged auto-correlation
nchan = size(csd, 1); % channels
ntrials = size(csd, 3); % trials
nlags = 100; % n of lags 
ac = zeros(1, 2*nlags + 1); % initialize auto-correlation vector

for i = 1:nchan % loop over channels
    for k = 1:ntrials % loop over trials
    x = csd(i, :, k) - mean(csd(i, :, k)); % mean-normalize data
    [acO, lags] = xcorr(x, nlags, 'biased'); % biased estimate
    ac(i, :) = ac(i, :) + double(acO(i, :)/ntrials); % add to total scaled by 1/k
    end
end

Answer 1

[Chunru]

csd = randn(4, 100, 20);        % dummy data
% Calculate trial-averaged auto-correlation
nchan = size(csd, 1); % channels
ntrials = size(csd, 3); % trials
nlags = 100; % n of lags 
ac = zeros(nchan, 2*nlags + 1); % initialize auto-correlation vector
%          ^^^^
for i = 1:nchan % loop over channels
    for k = 1:ntrials % loop over trials
        x = csd(i, :, k) - mean(csd(i, :, k)); % mean-normalize data
        [acO, lags] = xcorr(x, nlags, 'biased'); % biased estimate
        
        ac(i, :) = ac(i, :) + double(acO/ntrials); % add to total scaled by 1/k
        %                            ^^^
    end
end

[Panos Kerezoudis]

it worked, thank you so much!

Answer 2

[Md Hasem]

Read the Sun activity data from file sunspot.dat; 2. Filter the continuous component of the signal (centering the signal or using high-pass filter); 3. Calculate autocorrelation of the signal