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Generalizations of Cyclostationary Signal Processing: Spectral Analysis and Applications by Antonio Napolitano

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2.4 Estimation of the Cyclic Cross-Correlation Function

Let x(t) and y(t) be jointly GACS stochastic processes with cross-correlation function (2.31a)(2.31c). In Sections 2.4–2.8 and 3.4–3.13, when it does not create ambiguity, for notation simplification we will put

equation

From (2.31b), it follows that the knowledge of the cyclic cross-correlation function img, as a function of the two variables α and τ, completely characterizes the second-order cross-moments of jointly GACS processes. For each τ, img is nonzero only for those values of α such that img for some img (see (2.39)). Moreover, for (α, τ) such that img for some img, the magnitude and phase of img are the amplitude and phase of the finite-strength additive complex ...

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