Boundary filter optimization for segmentation-based subband coding

Boundary filter optimization for segmentation-based subband coding

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...

Boundary Filters for Segmentation-Based Subband Coding

This paper presents design methods for boundary filters for the processing of finite-length signals. In particular, it is shown how vanishing moments can be imposed during the design. Applications are found in segmentation-based audio and shape-adaptive image compression.

Block-based Subband Coding

Optimal Dyadic Filter Banks for Subband Coding and Zonal Sampling

The design of optimal prototype lters for multiresolution signal decomposition is considered. Filters will be optimized with respect to the following quality criteria: a) maximum coding gain of subband coding over PCM; b) minimum approximation error for zonal sampling. Only in the special case of paraunitary systems both criteria are nearly equivalent. As an example for more general systems, th...

Recursive time-varying filter banks for subband image coding

Filter banks, subband/wavelets, and multiresolution decompositions that employ recursive filters have been considered previously and are recognized for their efficiency in partitioning the frequency spectrum. This paper presents an analysis of a new infinite impulse response (IIR) filter bank in which these computationally efficient filters may be changed adaptively in response to the input. Th...