Rationalizing the coefficients of popular biorthogonal wavelet filters

Authors
Citation
Dbh. Tay, Rationalizing the coefficients of popular biorthogonal wavelet filters, IEEE CIR SV, 10(6), 2000, pp. 998-1005
Citations number
19
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY
ISSN journal
10518215 → ACNP
Volume
10
Issue
6
Year of publication
2000
Pages
998 - 1005
Database
ISI
SICI code
1051-8215(200009)10:6<998:RTCOPB>2.0.ZU;2-H
Abstract
Many wavelet filters found in the literature have irrational coefficients a nd thus require infinite precision implementation. One of the most popular filter pairs is the "9/7" biorthogonal pair of Cohen, Daubechies, and Feauv eau, which is adopted in the FBI finger-print compression standard. We pres ent here a technique to rationalize the coeffcients of wavelet filters that will preserve biorthogonality and perfect reconstruction. Furthermore, mos t of the zeros at z = -1 will also be preserved. These zeros are important for achieving regularity. The rationalized coefficients filters have charac teristics that are close to the original irrational coefficients filters. T hree popular pairs of filters, which include the "9/7" pair, will be consid ered.