Rational wavelet decompositions and finite-dimensional approximations of a class of infinite-dimensional systems

摘要

Frame decompositions of the Hardy space H/sup 2/( Pi /sup +/) are investigated as a means of constructing rational approximations to a class of nonrational transfer functions. The frames of interest are generated via dilations and translations of a single real-rational analyzing wavelet. The compactness of the time-frequency localized representation is exploited in constructing low-order rational approximants.