Optimal nonuniform orthonormal filter banks for subband coding and signal representation

Author

Kirac, Ahmet ; Vaidyanathan, P.P.

Author_Institution

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

fYear

1998

fDate

4-7 Oct 1998

Firstpage

692

Abstract

It has been shown that principal component filter banks (PCFB) are optimum orthonormal filter banks for subband coding for the uniform case in which all decimation ratios are the same. In this paper we present the analogous results for the nonuniform case. In contrast to the uniform case where there is only one PCFB, there are more than one PCFB in the nonuniform case. For a fixed set of decimation ratios, there are as many PCFB as the total number of permutations of the decimation ratios. For a fixed number of channels M, we show that there are finitely many sets of decimation ratios that a nonuniform filter bank can have. We show that one of the PCFB corresponding to a particular set of decimation ratios with a particular permutation is an optimum M-channel nonuniform orthonormal filter bank for subband coding. As in the uniform case, the results are valid at arbitrary bit rates

Keywords

channel bank filters; circuit optimisation; filtering theory; signal representation; transform coding; wavelet transforms; bit rates; channels; decimation ratios; optimal nonuniform orthonormal filter banks; permutations; principal component filter banks; signal representation; subband coding; wavelet based coders; Bit rate; Channel bank filters; Filter bank; Quantization; Rate-distortion; Signal representations; Transform coding; Tree data structures; Wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1998. ICIP 98. Proceedings. 1998 International Conference on

Conference_Location

Chicago, IL

Print_ISBN

0-8186-8821-1

Type

conf

DOI

10.1109/ICIP.1998.727354

Filename

727354