Cyclostationarity: half a century of research
Signal Processing
Bibliography on cyclostationarity
Signal Processing
Higher-order spectral analysis of complex signals
Signal Processing - Special section: Distributed source coding
Alias-component matrices of multirate systems
IEEE Transactions on Circuits and Systems II: Express Briefs
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The paper investigates the effects of multirate systems on the higher order wide-sense cyclostationarity (WSCS) properties of discrete-time series. To this end, definitions and properties of the cyclic higher order statistics, which were introduced for continuous-time series in the fraction-of-time probability framework, are first extended to discrete-time series. Then, starting from the consideration of the basic multirate building blocks, viz., M-fold decimators and L-fold interpolators, results for typical interconnections are derived. The problem of eliminating the images in the cyclic higher order spectra of an interpolated time series is addressed. Moreover, the problem of avoiding aliasing (in both cycle and spectral frequency domains) in the cyclic higher order spectra of a decimated time series is considered. Finally, a sufficient condition to avoid both aliasing and imaging effects in the cyclic higher order spectra of a time series decimated by a fractional factor is derived