Asymptotic normality of statistical-function estimators for generalized almost-cyclostationary processes

The problem of estimating second-order statistical functions of generalized almost-cyclostationary (GACS) processes is addressed. The class of such nonstationary processes includes, as a special case, the almost-cyclostationary (ACS) processes. ACS processes filtered by Doppler channels and communications signals with time-varying parameters are further examples. It is shown that, for GACS processes, the cyclic correlogram is an asymptotically Normal mean-square consistent estimator of the cyclic autocorrelation function. Thus, well-known results for ACS processes can be obtained as a special case of the results of this paper.