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Title:
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The continuous wavelet transform as a maximum entropy solution of the corresponding inverse problem
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Author:
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Rebollo Neira, Laura; Fernández Rubio, Juan Antonio
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Other authors:
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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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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::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 |
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Rights:
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Document type:
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Article |
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Published by:
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IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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