000201272 001__ 201272
000201272 005__ 20181203023602.0
000201272 0247_ $$2doi$$a10.1109/Tnnls.2013.2293871
000201272 022__ $$a2162-237X
000201272 02470 $$2ISI$$a000337906300018
000201272 037__ $$aARTICLE
000201272 245__ $$aExplicit Recursive and Adaptive Filtering in Reproducing Kernel Hilbert Spaces
000201272 260__ $$aPiscataway$$bIeee-Inst Electrical Electronics Engineers Inc$$c2014
000201272 269__ $$a2014
000201272 300__ $$a7
000201272 336__ $$aJournal Articles
000201272 520__ $$aThis brief presents a methodology to develop recursive filters in reproducing kernel Hilbert spaces. Unlike previous approaches that exploit the kernel trick on filtered and then mapped samples, we explicitly define the model recursivity in the Hilbert space. For that, we exploit some properties of functional analysis and recursive computation of dot products without the need of preimaging or a training dataset. We illustrate the feasibility of the methodology in the particular case of the gamma-filter, which is an infinite impulse response filter with controlled stability and memory depth. Different algorithmic formulations emerge from the signal model. Experiments in chaotic and electroencephalographic time series prediction, complex nonlinear system identification, and adaptive antenna array processing demonstrate the potential of the approach for scenarios where recursivity and nonlinearity have to be readily combined.
000201272 6531_ $$aAdaptive
000201272 6531_ $$aautoregressive and moving-average
000201272 6531_ $$afilter
000201272 6531_ $$akernel methods
000201272 6531_ $$arecursive
000201272 700__ $$0245927$$aTuia, Devis$$g150680$$uEcole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland
000201272 700__ $$aMunoz-Mari, Jordi$$uUniv Valencia, Image Proc Lab, Valencia 46980, Spain
000201272 700__ $$aLuis Rojo-Alvarez, Jose$$uUniv Rey Juan Carlos Madrid, Dept Teoria Senal & Comunicac, Fuenlabrada 28943, Spain
000201272 700__ $$aMartinez-Ramon, Manel
000201272 700__ $$aCamps-Valls, Gustavo$$uUniv Valencia, Image Proc Lab, Valencia 46980, Spain
000201272 773__ $$j25$$k7$$q1413-1419$$tIeee Transactions On Neural Networks And Learning Systems
000201272 909C0 $$0252045$$pLASIG$$xU10244
000201272 909CO $$ooai:infoscience.tind.io:201272$$particle$$pENAC
000201272 917Z8 $$x104573
000201272 937__ $$aEPFL-ARTICLE-201272
000201272 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000201272 980__ $$aARTICLE