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

Technical Source
1 min readJan 29, 2024

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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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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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Technical Source
Technical Source

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