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New techniques for rationalizing orthogonal and biorthogonal wavelet filter coefficients

journal contribution
posted on 2012-03-01, 00:00 authored by S Murugesan, David TayDavid Tay
Most wavelet filters reported in the literature have irrational coefficients. Hardware implementation can be simpler if the filter coefficients are rational valued. In this paper, we present novel methods to rationalize both orthogonal and biorthogonal filter coefficients with perfect reconstruction and vanishing moments preservation. Rational orthogonal filter coefficients are obtained using lattice structures. Rational biorthogonal filter coefficients are obtained using the complementary filter technique in which one set of filter coefficients is expressed in terms of the other. The rationalized filters have characteristics that are very close to the original irrational filters. The techniques are simple yet general enough to be used for almost any filter bank unlike the techniques in previously reported works.

History

Journal

IEEE Transactions on Circuits and Systems I: Regular Papers

Volume

59

Pagination

628-637

Location

Piscataway, N.J.

ISSN

1549-8328

eISSN

1558-0806

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2011, IEEE

Issue

3

Publisher

Institute of Electrical and Electronics Engineers

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