FIR principal component filter banks

Author

Xuan, Bo ; Bamberger, Roberto H.

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA

Volume

46

Issue

4

fYear

1998

fDate

4/1/1998 12:00:00 AM

Firstpage

930

Lastpage

940

Abstract

Two-dimensional (2-D) principal component filter banks (PCFBs) of finite impulse response (FIR) are proposed. For 2-D signals, among all uniform paraunitary FIR analysis/synthesis filter banks, the FIR PCFBs have the most energy compaction and maximize the arithmetic mean to geometric mean ratio (AM/GM ratio) of subband variances, which is the theoretic coding gain (TCC) of the systems under proper assumptions. The theoretic proof and design techniques are provided. Several special cases are discussed. Experimental results show the potential power of the FIR PCFBs

Keywords

FIR filters; band-pass filters; encoding; filtering theory; quadratic programming; signal synthesis; two-dimensional digital filters; 2D FIR principal component filter banks; 2D signals; FIR analysis/synthesis filter banks; arithmetic mean to geometric mean ratio; energy compaction; experimental results; finite impulse response; sequential quadratic programming algorithm; subband variances; theoretic coding gain; uniform paraunitary filter banks; Additive noise; Arithmetic; Autocorrelation; Channel bank filters; Compaction; Filter bank; Finite impulse response filter; IIR filters; Signal analysis; Signal synthesis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.668547

Filename

668547