On M-channel linear phase FIR filter banks and application in image compression

Author

Tran, Trac Duy ; Nguyen, Truong Q.

Author_Institution

Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA

Volume

45

Issue

9

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

2175

Lastpage

2187

Abstract

This paper investigates the theory and structure of a large subclass of M-channel linear-phase perfect-reconstruction FIR filter banks-systems with analysis and synthesis filters of length L_i=K_iM+β, where β is an arbitrary integer, 0⩽β<M, and K_i is any positive integer. For this subclass of systems, we first investigate the necessary conditions for the existence of linear-phase perfect-reconstruction filter banks (LPPRFBs). Next, we develop a complete and minimal factorization for all even-channel linear-phase paraunitary systems (the most general lapped orthogonal transforms to date). Finally, several design examples as well as comparisons with previous generalized lapped orthogonal transforms (GenLOTs) in image compression are presented to confirm the validity of the theory

Keywords

band-pass filters; data compression; delay circuits; digital filters; filtering theory; image coding; image reconstruction; signal synthesis; transform coding; transforms; M-channel linear phase FIR filter banks; analysis filters; even channel linear phase paraunitary systems; filter length; general lapped orthogonal transforms; image compression; linear phase perfect reconstruction filter banks; minimal factorization; necessary conditions; synthesis filters; Band pass filters; Filter bank; Filtering theory; Finite impulse response filter; Frequency; Image coding; Image reconstruction; Signal analysis; Signal synthesis; Speech;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.622942

Filename

622942