HIGHER-ORDER CYCLOSTATIONARITY PROPERTIES OF SAMPLED TIME-SERIES

In this paper, the higher-order wide-sense stationarity or cyclostatio narity properties of a continuous-time-series and those of the discret e-time-series of its samples are related in the fraction-of-time proba bility framework. In particular, for a cyclostationary continuous-time -series, it is shown how the ratio of the sampling period to the cyclo stationarity period affects the cyclostationarity properties of the di screte-time-series. Moreover, it is shown that the higher-order wide-s ense stationarity or cyclostationarity of a strictly band limited cont inuous-time-series can be analyzed by examining that exhibited by the discrete-time-series of its samples provided that the sampling rate is sufficiently high. Finally, the derived results are interpreted in th e stochastic process framework.