Theory of Regular M-band Wavelet Bases

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dc.citation.bibtexNamearticleen_US
dc.citation.journalTitleIEEE Transactions on Signal Processingen_US
dc.contributor.authorSteffen, P.en_US
dc.contributor.authorHeller, Peter Nielsen_US
dc.contributor.authorGopinath, Ramesh A.en_US
dc.contributor.authorBurrus, C. Sidneyen_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T01:06:33Zen_US
dc.date.available2007-10-31T01:06:33Zen_US
dc.date.issued1993-12-20en_US
dc.date.modified2001-10-05en_US
dc.date.submitted2001-10-05en_US
dc.descriptionJournal Paperen_US
dc.description.abstractThis paper constructs K-regular M-band orthonormal wavelet bases. K-regularity of the wavelet basis is known to be useful in numerical analysis applications and in image coding using wavelet techniques. Several characterizations of K-regularity and their importance are described. An explicit formula is obtained for all minimal length M-band scaling filters. A new state-space approach to constructing the wavelet filters from the scaling filters is also described. When M-band wavelets are constructed from unitary filter banks they give rise to wavelet tight frames in general (not orthonormal bases). Conditions on the scaling filter so that the wavelet bases obtained from it is orthonormal is also described.en_US
dc.identifier.citationP. Steffen, P. N. Heller, R. A. Gopinath and C. S. Burrus, "Theory of Regular M-band Wavelet Bases," <i>IEEE Transactions on Signal Processing,</i> 1993.en_US
dc.identifier.doihttp://dx.doi.org/10.1109/78.258088en_US
dc.identifier.urihttps://hdl.handle.net/1911/20384en_US
dc.language.isoengen_US
dc.subjectK-regularen_US
dc.subjectM-banden_US
dc.subjectorthonormal wavelet basesen_US
dc.subjectimage codingen_US
dc.subject.keywordK-regularen_US
dc.subject.keywordM-banden_US
dc.subject.keywordorthonormal wavelet basesen_US
dc.subject.keywordimage codingen_US
dc.titleTheory of Regular M-band Wavelet Basesen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
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