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dc.contributor.authorOdegard, Jan E.
Gopinath, Ramesh A.
Burrus, C. Sidney
dc.creatorOdegard, Jan E.
Gopinath, Ramesh A.
Burrus, C. Sidney
dc.date.accessioned 2007-10-31T00:56:36Z
dc.date.available 2007-10-31T00:56:36Z
dc.date.issued 1992-05-20
dc.date.submitted 1992-05-20
dc.identifier.urihttp://hdl.handle.net/1911/20166
dc.description Conference Paper
dc.description.abstract Wavelet methods give a flexible alternative to Fourier methods in non-stationary signal analysis. The concept of band-limitedness plays a fundamental role in Fourier analysis. Since wavelet theory replaces frequency with scale, a natural question is whether there exists a useful concept of scale-limitedness. Obvious definitions of scale-limitedness are too restrictive, in that there would be few or no useful scale-limited signals. This paper introduces a viable definition for scale-limited signals, and shows that the class is rich enough to include bandlimited signals, and impulse trains, among others. Moreover, for a wide choice of criteria, we show how to design the optimal wavelet for representing a given signal, and how to design robust wavelets that optimally represent certain classes of signals.
dc.language.iso eng
dc.subjectFourier analysis
optimal wavelets
signal decomposition
scale limited signals
dc.title Optimal wavelets for signal decomposition and the existence of scale limited signals
dc.type Conference paper
dc.date.note 2001-10-05
dc.citation.bibtexName inproceedings
dc.date.modified 2001-10-05
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)
dc.contributor.orgCML (http://cml.rice.edu/)
dc.subject.keywordFourier analysis
optimal wavelets
signal decomposition
scale limited signals
dc.citation.conferenceName IEEE International Symposium on Circuits and Systems (ISCAS)
dc.type.dcmi Text
dc.type.dcmi Text
dc.identifier.citation J. E. Odegard, R. A. Gopinath and C. S. Burrus, "Optimal wavelets for signal decomposition and the existence of scale limited signals," 1992.


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  • DSP Publications [508]
    Publications by Rice Faculty and graduate students in digital signal processing.
  • ECE Publications [1250]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

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