Optimal wavelets for signal decomposition and the existence of scale limited signals
| dc.citation.bibtexName | techreport | en_US |
| dc.citation.issueNumber | CML TR91-07 | en_US |
| dc.citation.journalTitle | None | en_US |
| dc.contributor.author | Odegard, Jan E. | en_US |
| dc.contributor.author | Gopinath, Ramesh A. | en_US |
| dc.contributor.author | Burrus, C. Sidney | en_US |
| dc.contributor.org | Digital Signal Processing (http://dsp.rice.edu/) | en_US |
| dc.contributor.org | CML (http://cml.rice.edu/) | en_US |
| dc.date.accessioned | 2007-10-31T00:56:39Z | en_US |
| dc.date.available | 2007-10-31T00:56:39Z | en_US |
| dc.date.issued | 1992-01-15 | en_US |
| dc.date.modified | 2004-04-19 | en_US |
| dc.date.submitted | 2004-04-19 | en_US |
| dc.description | Tech Report | en_US |
| dc.description.abstract | Wavelet methods give a flexible alternative to Fourier methods in non-stationary signal analysis. The concept of <i>band-limitedness</i> plays a fundamental role in Fourier analysis. Since wavelet theory replaces <i>frequency</i> with <i>scale</i>, a natural question is whether there exists a useful concept of <i>scale-limitedness</i>. 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 <i>robust</i> wavelets that optimally represent certain classes of signals. | en_US |
| 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," <i>None,</i> no. CML TR91-07, 1992. | en_US |
| dc.identifier.doi | http://dx.doi.org/10.1109/ICASSP.1992.226377 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/20167 | en_US |
| dc.language.iso | eng | en_US |
| dc.subject.keyword | wavelets | en_US |
| dc.subject.other | Wavelet based Signal/Image Processing | en_US |
| dc.title | Optimal wavelets for signal decomposition and the existence of scale limited signals | en_US |
| dc.type | Report | en_US |
| dc.type.dcmi | Text | en_US |
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