The computation of the mean
, variance
, skewness and kurtosis of a time series in the time domain is straightforward from their definition formulae.
I need these statistic values in different frequency bands. Currently I apply different bandpass filters to the signal and repeat to compute the statistics. I'm curious if it is possible to compute them from the spectrum in the frequency domain?
f = 0 Hz
is one single value, only for the full signal. Seems it's impossible to get the mean values of different frequencies from the spectrum. $\endgroup$