Frames: a maximum entropy statistical estimate of the 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 |
A maximum entropy statistical treatment of an inverse problem concerning frame theory is presented. The problem arises from the fact that a frame is an overcomplete set of vectors that defines a mapping with no unique inverse. Although any vector in the concomitant space can be expressed as a linear combination of frame elements, the coefficients of the expansion are not unique. Frame theory guarantees the existence of a set of coefficients which is “optimal” in a minimum norm sense. We show here that these coefficients are also “optimal” from a maximum entropy viewpoint. |
| Identificador | |
| Idioma(s) |
eng |
| Direitos |
Consulteu les condicions d'ús d'aquest document en el repositori original:<a href="http://hdl.handle.net/2117/1608">http://hdl.handle.net/2117/1608</a> |
| Palavras-Chave | #Àrees temàtiques de la UPC::Enginyeria electrònica i telecomunicacions::Processament del senyal #Probability and statistics #Stochastic processes #Entropy #Expansion coefficients #Inverse problems #Frame theory #Mapping #Maximum entropy statistical estimate #Minimum norm #Statistical analysis #Stochastic processes #Vectors #Processos estocàstics -- Models matemàtics #Problemes inversos (Equacions diferencials) #Vectors |
