Lifted linear phase filter banks and the polyphase-with-advance representation [JPEG 2000 image coding applications]

Author

Brislawn, Christopher M. ; Wohlberg, Brendt

Author_Institution

Los Alamos Nat. Lab., NM, USA

fYear

2004

fDate

1-4 Aug. 2004

Firstpage

29

Lastpage

33

Abstract

We develop the noncausal polyphase-with-advance representation that underlies the theory of lifted filter banks and wavelet transforms used in the ISO/IEC JPEG 2000 image coding standard. The theory includes a matrix algebra framework for analyzing linear phase two-channel filter banks. Whole- and half-sample symmetric filter banks are characterized completely in terms of the theory, and linear phase lifting factorizations are developed for both classes of linear phase filter banks.

Keywords

FIR filters; image coding; linear phase filters; matrix algebra; wavelet transforms; FIR filter bank; ISO/IEC JPEG 2000 image coding standard; half-sample symmetric filter banks; lifted linear phase filter banks; linear phase lifting factorizations; matrix algebra; noncausal filter representation; polyphase-with-advance filter representation; wavelet transforms; whole-sample symmetric filter banks; Channel bank filters; Convolution; Delay; Filter bank; Finite impulse response filter; Matrices; Matrix decomposition; Read only memory;

fLanguage

English

Publisher

ieee

Conference_Titel

Digital Signal Processing Workshop, 2004 and the 3rd IEEE Signal Processing Education Workshop. 2004 IEEE 11th

Print_ISBN

0-7803-8434-2

Type

conf

DOI

10.1109/DSPWS.2004.1437905

Filename

1437905