Title
Widely linear kernel-based adaptive filters
Abstract
Widely linear estimation for complex-valued signal processing is growing in popularity, especially in the cases where the involved signals exhibit non-circular characteristics. In this paper, the extended Wirtinger's calculus in complex Reproducing Kernel Hilbert Spaces (RKHS), presented in [1], is adopted to derive complex kernel-based widely-linear estimation filters. Furthermore, we illuminate several important characteristics of widely linear filters, which, to our knowledge, haven't been considered before. Our results indicate that, in contrast to many cases where the gains from adopting widely linear estimation filters, instead of ordinary linear filters, are rudimentary, for the case of kernel-based widely linear filters significant performance improvements can be obtained.
Year
Venue
Keywords
2011
Barcelona
hilbert spaces,adaptive filters,estimation theory,signal processing,complex kernel-based widely-linear estimation filters,complex reproducing kernel hilbert spaces,complex-valued signal processing,extended wirtinger calculus,widely linear kernel-based adaptive filters,estimation,kernel,hilbert space,calculus
Field
DocType
ISSN
Kernel (linear algebra),Mathematical optimization,Principal component regression,Linear filter,Kernel embedding of distributions,Algorithm,Kernel principal component analysis,Kernel adaptive filter,Variable kernel density estimation,Reproducing kernel Hilbert space,Mathematics
Conference
2076-1465
Citations 
PageRank 
References 
1
0.37
17
Authors
3
Name
Order
Citations
PageRank
Pantelis Bouboulis117111.05
Sergios Theodoridis21353106.97
Michael E. Mavroforakis328314.45