Rational wavelet decompositions of transfer functions in hardy-sobolev classes

摘要

The model approximation of transfer functions using rational wavelets (or molecular decompositions) is considered. By using techniques from Hardy-Sobolev spaces it is shown that Hilbert space methods such as a modified matching-pursuit algorithm and least-squares technique can be employed to obtain good approximations in both H~2 and H~∞ norms. Several theoretical results are given on rates of convergence when the methods are applied to delay systems and fractional filters.