Theory of optimal orthonormal filter banks

Author

Vaidyanathan, P.P.

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

Volume

3

fYear

1996

fDate

7-10 May 1996

Firstpage

1487

Abstract

In a previous paper we derived a set of necessary and sufficient conditions for maximizing the coding gain in an orthonormal filter bank. These are referred to as the decorrelation and majorization conditions. While each of these two conditions is individually only necessary and not sufficient, they together form a set of necessary and sufficient conditions. In this paper we show how to relate these to the idea of energy compaction. This relation is then used to identify the optimum analysis filters one at a time

Keywords

band-pass filters; circuit optimisation; correlation methods; encoding; filtering theory; coding gain; decorrelation condition; energy compaction; filter banks theory; majorization condition; necessary conditions; optimal orthonormal filter banks; optimum analysis filters; sufficient conditions; Additive noise; Bit rate; Channel bank filters; Code standards; Compaction; Decorrelation; Filter bank; Signal to noise ratio; Solid modeling; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on

Conference_Location

Atlanta, GA

ISSN

1520-6149

Print_ISBN

0-7803-3192-3

Type

conf

DOI

10.1109/ICASSP.1996.543944

Filename

543944