SIAM Journal on Control and Optimization, Vol.36, No.2, 654-679, 1998
A construction of rational wavelets and frames in Hardy-Sobolev spaces with applications to system modeling
Using the Daubechies wavelet theory we establish rational wavelet decompositions of the Hardy-Sobolev classes on the half-plane. The decay of wavelet coefficients is analyzed and error bounds for approximation are given. We give applications to the modeling of linear systems and to the model reduction of infinite-dimensional systems.