MATLAB: Theory/ mathematics behind pspectrum

estimationfftfrequencymathematicspsdpspectrumspectrumtheorytime

Hello folks,

I am using the matlab function pspectrum to estimate the frequency of my signal. This works perfectly!

However, I need a explanation for this method in order to present the theory in my paper. Does anyone have good source? Unfortunately, the Matlab documention was not helpful to get some sort of hints.

Thank you in advance!

Best Answer

If you go to the help and online documentation you will find two references:

[1] harris, fredric j. “On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform.” Proceedings of the IEEE®. Vol. 66, January 1978, pp. 51–83.

[2] Welch, Peter D. “The Use of Fast Fourier Transform for the Estimation of Power Spectra: A Method Based on Time Averaging Over Short, Modified Periodograms.” IEEE Transactions on Audio and Electroacoustics. Vol. 15, June 1967, pp. 70–73.

That is what matlab uses for references - maybe someone from the matlab staff will suggest additional references...