Wavelets of arbitrary order of regularity

摘要

Abstract: This research deals with finite length, perfect reconstruction two-channel orthonormal wavelet filters. For these filters, the coefficients of the filter of maximum order of regularity are unique and are known. Previous research has also developed a parameterizaiton to generate the coefficients of all filters of order of regularity one. The current research presents a parameterization for the generation of the coefficients of these filters with order of regularity between one and the maximum possible. !5