how to calculate and plot power spectral density of a given signal?

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arash - 2024-01-29T14:11:07+00:00
Question: how to calculate and plot power spectral density of a given signal?

I have signal and i want to plot it's power spectral density , What should i do? is it right if i first calculate the FFT of a signal and then get the square abs of it's value?

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    • Expert Answer

    Profile picture of John Williams John Williams answered . 2025-11-20

    If you have the Signal Processing Toolbox, it is easiest to use periodogram().
     
    That handles all the scaling for you.
     
     
     
     Fs = 1000;

     t = 0:1/Fs:1-1/Fs;

     x = cos(2*pi*100*t)+randn(size(t));

     [Pxx,F] = periodogram(x,[],length(x),Fs);

     plot(F,10*log10(Pxx))
     
     
    If you do not have the Signal Processing Toolbox, the PSD is proportional to the absolute value squared of the DFT (calculated by fft())
     


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