Title
Complex kernels for proper complex-valued signals: A review
Abstract
In this paper we investigate the conditions that complex kernels must satisfy for proper complex-valued signals. We study the structure that complex kernels for proper complex-valued signals must have. Also, we demonstrate that complex kernels that have been previously proposed and used in adaptive filtering of complex-valued signals assume that those signals arc proper, i.e, they are not correlated with their complex conjugate. We provide an example of how a complex-valued kernel suitable for a particular model is designed, with a procedure that could help in other designs. The experiments included show the good behavior of the proposed kernel in the task of nonlinear channel equalization.
Year
Venue
Keywords
2015
European Signal Processing Conference
Gaussian processes,regression,proper complex processes,kernel methods
Field
DocType
ISSN
Kernel (linear algebra),Mathematical optimization,Kernel smoother,Kernel embedding of distributions,Algorithm,Kernel principal component analysis,Adaptive filter,Kernel (image processing),Variable kernel density estimation,Mathematics,Complex conjugate
Conference
2076-1465
Citations 
PageRank 
References 
2
0.39
10
Authors
4