Affine Frames of Rational Wavelets in H2 (II+)
dc.contributor.author | Pati, Y.C. | en_US |
dc.contributor.author | Krishnaprasad, Perinkulam S. | en_US |
dc.contributor.department | ISR | en_US |
dc.date.accessioned | 2007-05-23T09:50:36Z | |
dc.date.available | 2007-05-23T09:50:36Z | |
dc.date.issued | 1992 | en_US |
dc.description.abstract | In this paper we investigate frame decompositions of H2(II+) as a method of constructing rational approximations to nonrational transfer functions in H2(II+). The frames of interest are generated from a single analyzing wavelet. We consider the case in which the analyzing wavelet is rational and show that by appropriate grouping of terms in a wavelet expansion, H2(II+) can be decomposed as an infinite sum of a rational transfer functions which are related to one another by dilation and translation. Criteria for selecting a finite number of terms from such an infinite expansion are developed using time-frequency localization properties of wavelets. | en_US |
dc.format.extent | 1152804 bytes | |
dc.format.mimetype | application/pdf | |
dc.identifier.uri | http://hdl.handle.net/1903/5226 | |
dc.language.iso | en_US | en_US |
dc.relation.ispartofseries | ISR; TR 1992-44 | en_US |
dc.subject | linear systems | en_US |
dc.subject | wavelets | en_US |
dc.subject | Intelligent Servomechanisms | en_US |
dc.title | Affine Frames of Rational Wavelets in H2 (II+) | en_US |
dc.type | Technical Report | en_US |
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