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

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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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Rahul Gulia
Rahul Gulia on 3 Jan 2023
Yes, I agree. We need to take the FFT to get its frequency components and then generate its absolute value plot to learn about its PSD.

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Accepted Answer

Wayne King
Wayne King on 5 Feb 2014
Edited: Wayne King on 5 Feb 2014
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())
For more information on that scaling, please see:

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