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New techniques for rationalizing orthogonal and biorthogonal wavelet filter coefficients
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.
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Journal
IEEE Transactions on Circuits and Systems I: Regular PapersVolume
59Issue
3Pagination
628 - 637Publisher
Institute of Electrical and Electronics EngineersLocation
Piscataway, N.J.Publisher DOI
ISSN
1549-8328eISSN
1558-0806Language
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2011, IEEEUsage metrics
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