Boloix Tortosa, RafaelPayán Somet, Francisco JavierArias de Reyna Domínguez, Eva MaríaMurillo Fuentes, Juan José2024-11-202024-11-202015-12Boloix Tortosa, R., Payán Somet, F.J., Arias de Reyna Domínguez, E.M. y Murillo Fuentes, J.J. (2015). Complex kernels for proper complex-valued signals: a review. En European Signal Processing Conference (EUSIPCO) (2371-2375), Nice, France: TIC155: Tratamiento de Señales y Comunicaciones (IEEE).978-0-9928-6263-32076-1465https://hdl.handle.net/11441/164648In 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 are 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.application/pdf5 p.engGaussian processesregressionproper complex processeskernel methodsinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1109/EUSIPCO.2015.7362809