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ICASSP
2011
IEEE

Explicit recursivity into reproducing kernel Hilbert spaces

9 years 6 months ago
Explicit recursivity into reproducing kernel Hilbert spaces
This paper presents a methodology to develop recursive filters in reproducing kernel Hilbert spaces (RKHS). Unlike previous approaches that exploit the kernel trick on filtered and then mapped samples, we explicitly define model recursivity in the Hilbert space. The method exploits some properties of functional analysis and recursive computation of dot products without the need of pre-imaging. We illustrate the feasibility of the methodology in the particular case of the gammafilter, an infinite impulse response (IIR) filter with controlled stability and memory depth. Different algorithmic formulations emerge from the signal model. Experiments in chaotic and electroencephalographic time series prediction scenarios demonstrate the potentiality of the approach.
Devis Tuia, Gustavo Camps-Valls, Manel Martí
Added 21 Aug 2011
Updated 21 Aug 2011
Type Journal
Year 2011
Where ICASSP
Authors Devis Tuia, Gustavo Camps-Valls, Manel Martínez-Ramón
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