Spectral correlation of randomly jittered periodic functions of two variables

In this paper we summarise some facts about two-dimensional periodically correlated (or cyclostationary) fields and give some simple examples of these fields. We also show that periodic functions of two variables become periodically correlated when the two time variables are jittered by stationary random processes. In addition, we show how spectral coherence can be used, as in the one-dimensional case, as a means for determining the presence of cyclostationarity. We give examples of computational results from simulated fields based on the simple models.