Wavelet q-Fisher Information for Scaling Signal Analysis

This article first introduces the concept of wavelet q-Fisher information and then derives a closed-form expression of this quantifier for scaling signals of parameter α. It is shown that this information measure appropriately describes the complexities of scaling signals and provides further analys...

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Detalles Bibliográficos
Autores: Ramírez-Pacheco, Julio, Torres-Román, Deni, Argaez-Xool, Jesús, Rizo-Domínguez, Luis, Trejo-Sánchez, Joel, Manzano-Pinzón, Franciso
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:México
Institución:Instituto Tecnológico y de Estudios Superiores de Occidente
Repositorio:Repositorio Institucional del ITESO
Idioma:español
OAI Identifier:oai:rei.iteso.mx:11117/2917
Acceso en línea:http://hdl.handle.net/11117/2917
Access Level:acceso abierto
Palabra clave:Scaling Processes
Wavelet Information Measures
q-Fisher information
Fractional Gaussian Noise
Structural Change Detection/Location
Breakpoint Detection
Descripción
Sumario:This article first introduces the concept of wavelet q-Fisher information and then derives a closed-form expression of this quantifier for scaling signals of parameter α. It is shown that this information measure appropriately describes the complexities of scaling signals and provides further analysis flexibility with the parameter q. In the limit of q→1, wavelet q-Fisher information reduces to the standard wavelet Fisher information and for q > 2 it reverses its behavior. Experimental results on synthesized fGn signals validates the level-shift detection capabilities of wavelet q-Fisher information. A comparative study also shows that wavelet q-Fisher information locates structural changes in correlated and anti-correlated fGn signals in a way comparable with standard breakpoint location techniques but at a fraction of the time. Finally, the application of this quantifier to H.263 encoded video signals is presented.