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Almost tight rational coefficients biorthogonal wavelet filters

journal contribution
posted on 2018-06-01, 00:00 authored by David TayDavid Tay, Z Lin
Wavelet filters with rational coefficients can be implemented efficiently in digital hardware using simple register shifts and adders. In this letter, a technique to construct biorthogonal filters with rational coefficients is presented. The filters have linear phase and also have very similar characteristics to orthogonal filters, while the latter cannot have linear phase. The frame bound ratio of the filters is very close to unity, i.e., almost tight. The filters are constructed via the lifting scheme with four lifting steps. The perfect reconstruction and the no-dc-leakage properties are preserved with these rational coefficients filters.

History

Journal

IEEE Signal Processing Letters

Volume

25

Pagination

748-752

Location

Piscataway, N.J.

ISSN

1070-9908

Language

eng

Publication classification

C Journal article, C1 Refereed article in a scholarly journal

Copyright notice

2018, IEEE

Issue

6

Publisher

IEEE