How do I whiten a spectrum of a time series?

Hello all, my question seems rather simple. I want a simple filter that will flaten or whiten the spectrum of a seismic time series. I just want to take the time series into frequency and dived the spectrum by a weighted (smoothed) version of the spectrum and then take it back into time. Anything simple?

Thanks

[Dr. Erol Kalkan, P.E.]

I have posted a function to conduct spectral whitening of time series at

https://www.mathworks.com/matlabcentral/fileexchange/65345-spectral-whitening

This function allows for whitening the spectrum for the user defined frequency band.

Answer 1

[Image Analyst]

So what happens if you take the magnitude and compute the smoothed signal with conv(), rsmooth(), sgolayfilt(), lowess, or any other smoothing function then divide your signal by that and scale and inverse transform?