PDF, PSD, Auto-covariance, Fourier spectrum - all from .wav file

Hi, I need to calculate the above for a given .wav file. I know how to arrive at each solution using mathematical techniques, but I also need to know how to arrive at each one using Matlab's own built in functions. My problem is there seem to be lots of different types of FFT functions and I can't find a clear reference to the others. Can anyone point me in the right direction as I'm pretty lost.

[Matt Fig]

Hi, I need to calculate the above for a given .wav file. I know how to arrive at each solution using mathematical techniques, but I also need to know how to arrive at each one using Matlab's own built in functions. My problem is there seem to be lots of different types of FFT functions and I can't find a clear reference to the others. Can anyone point me in the right direction as I'm pretty lost.

Answer 1

[Wayne King]

Hi Tom, you can use spectrum.periodogram to obtain a PSD estimate. You can use xcorr() to obtain an estimate of the autocorrelation sequence. You can use fft() to obtain the discrete Fourier transform.

Not sure why you want the PDF, The PSD is a form of a PDF for a wide-sense stationary random process, but it is not normalized. You could of course normalize it like a PDF, but I don't see any benefit in that.