Abstract

In Chapter 4, the class of the spectrally correlated (SC) processes is presented and characterized. SC processes have Lo??ve bifrequency spectrum with spectral masses concentrated on a countable set of support curves in the bifrequency plane. Almost-cyclostationary processes are obtained a special case when the curves are lines with unit slope. The problems of linear filtering and sampling of SC processes are addressed. The time-smoothed and the frequency-smoothed cross-periodogram are considered as estimators of the spectral correlation density. Consistency and asymptotic Normality properties are analyzed. Illustrative examples and simulation results are presented. Proofs of the results in Chapter 4 are reported in Chapter 5.

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