M-Band Multiwavelet Systems

dc.citation.bibtexNameinproceedingsen_US
dc.citation.conferenceNameIEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)en_US
dc.contributor.authorBurrus, C. Sidneyen_US
dc.contributor.authorFernandes, Felixen_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T00:38:04Z
dc.date.available2007-10-31T00:38:04Z
dc.date.issued1999-03-20en
dc.date.modified2001-10-05en_US
dc.date.note2001-10-05en_US
dc.date.submitted1999-03-20en_US
dc.descriptionConference Paperen_US
dc.description.abstractIn this paper we investigate multiwavelet systems whose scaling functions have disjoint support. We demonstrate that, with the exception of a trivial case, this property may not be attained by two band multiwavelet systems. We show that to enjoy this property, it is indeed necessary to invoke <i>M</i>-band multiwavelet systems. This indicates the existence of tilings of the time-frequency plane that may be obtained with <i>M</i>--band multiwavelet systems but not with two band multiwavelet systems. Hence <i>M</i>--band multiwavelet systems are inherently more powerful than two band multiwavelet systems and deserve a thorough investigation. Finally, we derive K<sup>th</sup order balancing conditions for <i>M</i>--band multiwavelet systems. These conditions will enable <i>M</i>--band multiwavelet systems to be used for practical digital signal processing applications.en_US
dc.identifier.citationC. S. Burrus and F. Fernandes, "M-Band Multiwavelet Systems," 1999.
dc.identifier.urihttps://hdl.handle.net/1911/19753
dc.language.isoeng
dc.subjectM-band*
dc.subjectmultiwavelet systems*
dc.subjecttime-frequency plane*
dc.subject.keywordM-banden_US
dc.subject.keywordmultiwavelet systemsen_US
dc.subject.keywordtime-frequency planeen_US
dc.titleM-Band Multiwavelet Systemsen_US
dc.typeConference paper
dc.type.dcmiText
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