Numerical Evaluation of Time-domain Moments and Regularity of Multirate Filter Banks

Numerical methods are described for evaluating the timedomain moments and regularity of multirate filter banks. Estimates of the Holder regularity are computed for the continuous functions obtained from the iterated discrete filters. Estimates of the centered moments are also computed for both the discrete filters and continuous functions. These estimates are then used to obtain the vanishing moment numbers. None of the methods require any preprocessing of the filters or a priori information about them. Thus, the methods can serve as tests for the evaluation of arbitrary filter banks. Results are presented for various examples.