Nonuniform Interpolation of Noisy Signals Using Support Vector Machines

The problem of signal interpolation has been intensively studied in the Information Theory literature, in conditions such as unlimited band, nonuniform sampling, and presence of noise. During the last decade, support vector machines (SVM) have been widely used for approximation problems, including f...

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Detalles Bibliográficos
Autores: Rojo-Álvarez, José Luis, Figuera Pozuelo, Carlos, Camps Valls, Gustavo, Alonso Atienza, Felipe, Martínez Ramón, Manel
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universidad Rey Juan Carlos
Repositorio:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
OAI Identifier:oai:burjcdigital.urjc.es:10115/1911
Acceso en línea:http://hdl.handle.net/10115/1911
Access Level:acceso abierto
Palabra clave:Telecomunicaciones
3325 Tecnología de las Telecomunicaciones
Descripción
Sumario:The problem of signal interpolation has been intensively studied in the Information Theory literature, in conditions such as unlimited band, nonuniform sampling, and presence of noise. During the last decade, support vector machines (SVM) have been widely used for approximation problems, including function and signal interpolation. However, the signal structure has not always been taken into account in SVM interpolation. We propose the statement of two novel SVM algorithms for signal interpolation, specifically, the primal and the dual signal model based algorithms. Shift-invariant Mercer¿s kernels are used as building blocks, according to the requirement of bandlimited signal. The sinc kernel, which has received little attention in the SVM literature, is used for andlimited reconstruction. Well-known properties of general SVM algorithms (sparseness of the solution, robustness, and regularization) are explored with simulation examples, yielding improved results with respect to standard algorithms, and revealing good characteristics in nonuniform interpolation of noisy signals.