The continuous wavelet transform as a maximum entropy solution of the corresponding inverse problem
| Contribuinte(s) |
Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions Universitat Politècnica de Catalunya. SPCOM - Grup de Recerca de Processament del Senyal i Comunicacions |
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| Data(s) |
10/05/2012
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| Resumo |
The continuous wavelet transform is obtained as a maximumentropy solution of the corresponding inverse problem. It is well knownthat 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 recognizeone solution as "optimal", then an appropriate decision criterion hasto be adopted. We show here that the continuous wavelet transform is an"optimal" solution in a maximum entropy sense. Peer Reviewed |
| Identificador | |
| Idioma(s) |
eng |
| Publicador |
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Direitos |
Consulteu les condicions d'ús d'aquest document en el repositori original:<a href="http://hdl.handle.net/2117/1546">http://hdl.handle.net/2117/1546</a> |
| Palavras-Chave | #Àrees temàtiques de la UPC::Enginyeria electrònica i telecomunicacions::Processament del senyal #Wavelets (Mathematics) #Signal processing #Continuous wavelet transform #Decision criterion #Inverse problem #Maximum entropy solution #Optimal solution #Statistical description #Signal reconstruction #Statistical analysis #Wavelet transforms #Processament del senyal |
| Tipo |
info:eu-repo/semantics/article |
