Abstract
A contribution to the theory of higher-order cyclostationarity very recently introduced to generalize the second-order cyclostationarity theory is given. Input/output relations in terms of cyclic higher-order statistics for multi-input multi-output linear almost-periodically time-variant systems that are excited by cyclostationary inputs are derived. Both continuous- and discrete-time systems are considered. For a single-input single-output linear time-invariant system, the Wiener system identification formula based on second-order cyclic spectra is generalized to higher-order statistics. The problem of reconstructing cyclic higher-order statistics of a continuous-time-series from its samples is addressed and a sufficient condition on the sampling rate to prevent aliasing is stated. Examples of application of the theory are included.
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