Linear-phase M-band wavelets with application to image coding

Author

Heller, P.N. ; Nguyen, Truong Q. ; Singh, Harshavardhan ; Carey, W. Knox

Author_Institution

Aware Inc., Cambridge, MA, USA

Volume

2

fYear

1995

fDate

9-12 May 1995

Firstpage

1496

Abstract

This paper investigates the design of M-band linear phase wavelet filter banks (M>2), and explores their application to image coding. The generalized LOT description of M-band linear-phase paraunitary filter banks is used to parametrize the M-band linear-phase orthogonal wavelets. It is proven that an M-band linear-phase orthogonal wavelet of even length cannot have more than one vanishing moment. Since this limits the effectiveness of the resulting wavelet filters, we next suggest methods for the construction of linear-phase biorthogonal M-band wavelet lowpass filters, generalizing prior 2-band constructions. However, one cannot guarantee that an arbitrary lowpass filter pair can be completed to a full perfect-reconstruction filter bank. Finally, the new linear-phase orthogonal wavelet filter banks are compared with known wavelet filters with regard to their performance in a transform-based image coder

Keywords

band-pass filters; delay circuits; filtering theory; image coding; wavelet transforms; even length wavelet; image coding; linear phase wavelet filter banks; linear-phase M-band wavelets; linear-phase orthogonal wavelets; linear-phase paraunitary filter banks; lowpass filters; performance; vanishing moment; Application software; Contracts; Discrete wavelet transforms; Ear; Filter bank; Humans; Image coding; Image resolution; Visual system; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on

Conference_Location

Detroit, MI

ISSN

1520-6149

Print_ISBN

0-7803-2431-5

Type

conf

DOI

10.1109/ICASSP.1995.480568

Filename

480568