How to calculate period of signal with matlab

Teagan asked: 2021-01-19 matlab , signal , signal processing

Learn how to calculate the period of a signal using MATLAB! This resource provides a step-by-step guide & MATLAB code examples for signal period calculation. Ge

Expert Answer

John Williams answered . 2025-07-30 15:16:26

use autocorrelation. If your data is periodic you should get high correlation once the lag time matches the period. here is an example:

x=0:0.1:20*2*pi;
y=sin(x); % so we know the period is 2*pi roughly 6.28
ac=xcorr(y,y);
[~,locs]=findpeaks(ac);
mean(diff(locs)*0.1)

ans =

      6.2842

In a more complex data set including some noise you need to work around the find peaks a little bit. That might be too noisy.

In the example you gave here is what you will get

x=0:0.01:20*2*pi;
y=abs(cos(10*pi*x));
ac=xcorr(y,y);
[~,locs]=findpeaks(ac);
mean(diff(locs)*0.01)

ans =

      0.1000

Another approach is using FFT, particularly if you have a more complex signal.

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