ASYMPTOTIC NORMALITY OF STATISTICAL−FUNCTION ESTIMATORS FOR GENERALIZED ALMOST−CYCLOSTATIONARY PROCESSES (ThuAmOR7)

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.