Theory of optimal orthonormal subband coders

被引：124

作者：

Vaidyanathan, PP ^{[1
]}

机构：

[1] CALTECH, Dept Elect Engn, Pasadena, CA 91125 USA

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1998年 / 46卷 / 06期

基金：

美国国家科学基金会;

关键词：

coding gain; optimal filter banks; orthonormal coders; paraunitary coders; principal-component filter banks; subband coders; transform coders;

D O I：

10.1109/78.678466

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The theory of the orthogonal transform coder and methods for its optimal design have been known for a long time. In this paper, we derive a set of necessary and sufficient conditions for the coding-gain optimality of an orthonormal subband coder for given input statistics. We also show how these conditions can be satisfied by the construction of a sequence of optimal compaction filters one at a time. Several theoretical properties of optimal compaction filters and optimal subband coders are then derived, especially pertaining to behavior as the number of subbands increases. Significant theoretical differences between optimum subband coders, transform coders, and predictive coders are summarized. Finally, conditions are presented under which optimal orthonormal subband coders yield as much coding gain as biorthogonal ones for a fixed number of subbands.

引用

页码：1528 / 1543

页数：16

共 28 条

[1]

Akansu A.N., 1992, Multiresolution Signal Decomposition: Transforms, Subbands, and Wavelets

[2] ON-SIGNAL DECOMPOSITION TECHNIQUES [J].