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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.
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Addison B. Jump, Barry G. Sherlock, "Wavelets of arbitrary order of regularity," Proc. SPIE 4056, Wavelet Applications VII, (5 April 2000); https://doi.org/10.1117/12.381700