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, the design of linear phase lters (including linear phase lters with unequal even or odd lengths) will be considered (parametrizations will be brie y shown).