A fast gradient approximation for nonlinear blind signal processing

When dealing with nonlinear blind processing algorithms (deconvolution or post-nonlinear source separation) complex mathematical estimations must be done giving as a result very slow algorithms. This is the case, for example, in speech processing, spike signals deconvolution or microarray data analy...

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Detalhes bibliográficos
Autores: Caiafa, Cesar Federico, Sole-Casals, Jordi
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/4091
Acesso em linha:http://hdl.handle.net/11336/4091
Access Level:acceso abierto
Palavra-chave:Blind Deconvolution
Blind Source Separation
Minimum Mutual Information Methods
Wiener Systems
https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
Descrição
Resumo:When dealing with nonlinear blind processing algorithms (deconvolution or post-nonlinear source separation) complex mathematical estimations must be done giving as a result very slow algorithms. This is the case, for example, in speech processing, spike signals deconvolution or microarray data analysis. In this paper, we propose a simple method to reduce computational time for the inversion of Wiener systems or the separation of post-nonlinear mixtures, by using a linear approximation in a minimum-mutual information algorithm. Simulation results demonstrate that linear spline interpolation is fast and accurate, obtaining very good results (similar to those obtained without approximation) while computational time is dramatically decreased. On the other hand, cubic spline interpolation also obtains similar good results, but due to its intrinsically complexity the global algorithm is much more slow and hence not useful for our purpose.