Restoration of multi-channel spectral estimation affected by sampling jitters

Sampling jitters can cause phase shifts in the Fourier coefficients of an underlying time series and lead to, among other distortions, attenuation in spectral estimation. If the probability density function of sampling jitters is known, then the attenuation can be modeled as an amplitude modulation in the frequency domain. This paper examines the possible effects of random sampling jitters on multi-channel power spectral estimation and discusses a restoration procedure to remove these effects, simulation tests were conducted to illustrate the effects due to sampling jitters and to demonstrate the effectiveness of the restoration procedure.