how to find power spectral density of signal using fft

psd using fft

Answer 1

[Chunru]

Here is the example from matlab documentation: https://www.mathworks.com/help/signal/ug/power-spectral-density-estimates-using-fft.html

You can also try other methods such as he periodogram, modified periodogram, Welch.

rng default
Fs = 1000;
t = 0:1/Fs:1-1/Fs;
x = cos(2*pi*100*t) + randn(size(t));

N = length(x);
xdft = fft(x);
xdft = xdft(1:N/2+1);
psdx = (1/(Fs*N)) * abs(xdft).^2;
psdx(2:end-1) = 2*psdx(2:end-1);
freq = 0:Fs/length(x):Fs/2;

plot(freq,10*log10(psdx))
grid on
title('Periodogram Using FFT')
xlabel('Frequency (Hz)')
ylabel('Power/Frequency (dB/Hz)')