Rationalizing the coefficients of popular biorthogonal wavelet filters

Author

Tay, David B H

Author_Institution

Dept. of Electron. Eng., LaTrobe Univ., Bundoora, Vic., Australia

Volume

10

Issue

6

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

998

Lastpage

1005

Abstract

Many wavelet filters found in the literature have irrational coefficients and thus require infinite precision implementation. One of the most popular filter pairs is the “9/7” biorthogonal pair of Cohen, Daubechies and Feauveau (1992), which is adopted in the FBI finger-print compression standard. We present a technique to rationalize the coefficients of wavelet filters that will preserve biorthogonality and perfect reconstruction. Furthermore, most of the zeros at z=-1 will also be preserved. These zeros are important for achieving regularity. The rationalized coefficients filters have characteristics that are close to the original irrational coefficients filters. Three popular pairs of filters, which include the “9/7” pair, are considered

Keywords

data compression; filtering theory; image coding; poles and zeros; wavelet transforms; 9/7 biorthogonal filters pair; FBI finger-print compression standard; biorthogonal wavelet filters; coefficients rationalization; image compression experiment; infinite precision implementation; irrational coefficients; zeros; Digital filters; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Helium; Image coding; Image reconstruction; Low pass filters; Signal resolution; Testing;

fLanguage

English

Journal_Title

Circuits and Systems for Video Technology, IEEE Transactions on

Publisher

ieee

ISSN

1051-8215

Type

jour

DOI

10.1109/76.867939

Filename

867939