Mean-Square Consistent Estimation of the Spectral Correlation Density for Spectrally Correlated Stochastic Processes
Antonio Napolitano · 2007
In this paper, the problem of estimating the spectral correlation density of spectrally correlated stochastic processes is addressed. These processes have Loeve bifrequency spectrum with spectral masses concentrated on a countable set of support curves in the bifrequency plane. The almost-cyclostationary processes are obtained as a special case when the support curves are lines with unit slope. Spectrally correlated processes find application in wide-band or ultrawideband mobile communications. It is shown that the cross-periodogram frequency smoothed along a known support curve and properly normalized provides a mean-square consistent estimator of the spectral correlation density of the Loeve bifrequency spectrum along that curve.