New Criteria for Shift Variance and Wide-Sense Cyclostationarity in Multirate Filter Banks
Til Aach · 2006
Sampling rate conversion in multirate filter banks leads to time-varying phenomena, which differ between deterministic and stationary random signals. More specifically, downsampling causes deterministic signals to become periodically shift variant, while upsampling turns stationary random signals into cyclostationary signals. We provide criteria for the quantification of these effects, and compare a variety of paraunitary and biorthogonal perfect reconstruction filter banks as well as orthogonal block transforms. Our criteria also permit frequency-resolved evaluations.