Power spectral density of IMF's for EMD and VMD

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Hello everyone,
I am using EMD and VMD for my signals. I have plotted the IMF's graphics. Also, I want to plot individually PSD depends on frequencies. How can I plot it?
Regards
  1 个评论
Jiayi
Jiayi 2023-3-22
Hello, have you solved the problem? I have the same issue that needs to be solved. If you have solved it, I hope to help me solve it, good luck.

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回答(1 个)

Balavignesh
Balavignesh 2023-10-3
Hi Fatih,
As per my understanding, you would like to plot Power Spectral Densities (PSD) of each Intrinsic Mode Function (IMF) obtained from Empirical Mode Decomposition (EMD) or Variational Mode Decomposition (VMD).
I am assuming you have already obtained the IMF's from EMD or VMD.
I suggest you to use the MATLAB function 'pwelch' to calculate the PSD.
In that case, the following example code may help you understand this:
% Sample IMF's. Input the calculated IMF
imf1 = sin(2*pi*10*(0:0.01:1))';% A sinusoidal signal with frequency 10 Hz
imf2 = randn(1, 101)'; % Random noise signal
imf3 = chirp(0:0.01:1, 5, 1, 20)'; % A linearly frequency-modulated (chirp) signal
% Sample value for segment length
segmentLength = 101; % Choose an appropriate segment length based on your signal characteristics and desired frequency resolution
imfs = [imf1 , imf2 , imf3];
% Set the sampling frequency and segment length for PSD calculation
fs = 50; % Sampling frequency of the signal
% Calculate and plot the PSD for each IMF
numIMFs = size(imfs, 2);
for i = 1:numIMFs
% Calculate the PSD using Welch's method
[psd, freq] = pwelch(imfs(:, i)', hamming
(segmentLength) ,[] ,[], fs);
% Plot the PSD
subplot(numIMFs, 1, i);
plot(freq, 10*log10(psd));
xlabel('Frequency (Hz)');
ylabel('Power Spectral Density (dB/Hz)');
title(['PSD of IMF ', num2str(i)]);
end
Please refer to the following documentation links to have more information on:

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