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The continuous wavelet transform as a maximum entropy solution of the corresponding inverse problem
dc.contributor.author | Rebollo Neira, Laura |
dc.contributor.author | Fernández Rubio, Juan Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions |
dc.date.accessioned | 2008-01-29T12:27:55Z |
dc.date.available | 2008-01-29T12:27:55Z |
dc.date.created | 1997-01-23 |
dc.date.issued | 1999-07-31 |
dc.identifier.citation | Rebollo Neira, L.; Fernandez Rubio, J. A.The continuous wavelet transform as a maximum entropy solution of the corresponding inverse problem. IEEE Transactions on Signal Processing, 1999, vol. 47, núm. 7, p. 2046-2050. |
dc.identifier.issn | 1053-587X |
dc.identifier.uri | http://hdl.handle.net/2117/1546 |
dc.description.abstract | The continuous wavelet transform is obtained as a maximum entropy solution of the corresponding inverse problem. It is well known that although a signal can be reconstructed from its wavelet transform, the expansion is not unique due to the redundancy of continuous wavelets. Hence, the inverse problem has no unique solution. If we want to recognize one solution as "optimal", then an appropriate decision criterion has to be adopted. We show here that the continuous wavelet transform is an "optimal" solution in a maximum entropy sense. |
dc.format.extent | 2046-2050 |
dc.language.iso | eng |
dc.publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
dc.subject | Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal |
dc.subject.lcsh | Wavelets (Mathematics) |
dc.subject.lcsh | Signal processing |
dc.subject.other | Continuous wavelet transform |
dc.subject.other | Decision criterion |
dc.subject.other | Inverse problem |
dc.subject.other | Maximum entropy solution |
dc.subject.other | Optimal solution |
dc.subject.other | Statistical description |
dc.subject.other | Signal reconstruction |
dc.subject.other | Statistical analysis |
dc.subject.other | Wavelet transforms |
dc.title | The continuous wavelet transform as a maximum entropy solution of the corresponding inverse problem |
dc.type | Article |
dc.subject.lemac | Processament del senyal |
dc.contributor.group | Universitat Politècnica de Catalunya. SPCOM - Grup de Recerca de Processament del Senyal i Comunicacions |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 1660552 |
dc.relation.projectidctt | TIC96-0500-C10-01 |
dc.relation.projectidctt | CICPBA |
local.personalitzacitacio | true |
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