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Full-Text Articles in Physical Sciences and Mathematics
Boundary Filter Optimization For Segmentation-Based Subband Coding, Alfred Mertins
Boundary Filter Optimization For Segmentation-Based Subband Coding, Alfred Mertins
Faculty of Informatics - Papers (Archive)
This paper presents boundary optimization techniques for the nonexpansive decomposition of arbitrary-length signals with multirate filterbanks. Both biorthogonal and paraunitary filterbanks are considered. The paper shows how matching moments and orthonormality can be imposed as additional conditions during the boundary filter optimization process. It provides direct solutions to the problem of finding good boundary filters for the following cases: (a) biorthogonal boundary filters with exactly matching moments and (b) orthonormal boundary filters with almost matching moments. With the proposed methods, numerical optimization is only needed if orthonormality and exactly matching moments are demanded. The proposed direct solutions are applicable to …
Boundary Filters For Size-Limited Paraunitary Filter Banks With Maximum Coding Gain And Ideal Dc Behavior, Alfred Mertins
Boundary Filters For Size-Limited Paraunitary Filter Banks With Maximum Coding Gain And Ideal Dc Behavior, Alfred Mertins
Faculty of Informatics - Papers (Archive)
This paper presents boundary optimization techniques for the processing of arbitrary-length signals with paraunitary multirate filter banks. The boundary filters are designed to maximize the coding gain while providing an ideal DC behavior where all filters except the low-pass filters have zero mean. Moreover, solutions are presented that have similar frequency responses as the original subband filters. The proposed methods give direct solutions to the problem of finding the optimal boundary filters with maximum coding gain and do not require numerical optimization. Thus, they are even applicable to systems with a large number of subbands and/or very long filter impulse …