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

Author(s) : Antonio Napolitano (Universita di Napoli Federico II, Italy)

Abstract : 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.

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