Title
Multikernel Adaptive Filtering
Abstract
This paper exemplifies that the use of multiple kernels leads to efficient adaptive filtering for nonlinear systems. Two types of multikernel adaptive filtering algorithms are proposed. One is a simple generalization of the kernel normalized least mean square (KNLMS) algorithm , adopting a coherence criterion for dictionary designing. The other is derived by applying the adaptive proximal forward-backward splitting method to a certain squared distance function plus a weighted block $\\ell_{1}$ norm penalty, encouraging the sparsity of an adaptive filter at the block level for efficiency. The proposed multikernel approach enjoys a higher degree of freedom than those approaches which design a kernel as a convex combination of multiple kernels. Numerical examples show that the proposed approach achieves significant gains particularly for nonstationary data as well as insensitivity to the choice of some design-parameters.
Year
DOI
Venue
2012
10.1109/TSP.2012.2200889
IEEE Transactions on Signal Processing
Keywords
Field
DocType
reproducing kernel hilbert space,algorithm design and analysis,memory management,adaptive filters,computational complexity,vectors,kernel,dictionaries
Least mean squares filter,Mathematical optimization,Kernel embedding of distributions,Convex combination,Kernel principal component analysis,Multikernel,Adaptive filter,Kernel adaptive filter,Variable kernel density estimation,Mathematics
Journal
Volume
Issue
ISSN
60
9
1053-587X
Citations 
PageRank 
References 
10
0.54
33
Authors
1
Name
Order
Citations
PageRank
Masahiro Yukawa127230.44