Finding the intersection of large vectors using MATLAB

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Finding the intersection of large vectors using MATLAB



How can two signals be compared in MATLAB to find their intersection? My signals are large vectors which can contain duplicate values.



I have been experimenting with the following approach using intersect, which works fine for a randomly generated signals.


intersect


% Example case
sig1 = rand(100,1);
sig2 = [rand(50,1); sig1(end-10:end); rand(50,1)]; % a signal with imposed intersection.
[c, ia, ib] = intersect(sig1, sig2);
plot(sig2)
hold on
scatter(ib, sig2(ib), 'filled')
hold off



I am using this approach for my real data but it does not produce the correct intersection, which is due to duplicate values in the signals. So, I thought to add a very small random noise to both signals and then apply intersect, however, adding a threshold is not possible for intersect.


intersect


intersect



Could someone give me some hints on how the intersection of two large signal measurement can be found robustly and efficiently? Are there other methods? Thank you in advance.









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