@InProceedings{7362809,
  author = {R. Boloix-Tortosa and F. J. Payán-Somet and E. Arias-de-Reyna and J. J. Murillo-Fuentes},
  booktitle = {2015 23rd European Signal Processing Conference (EUSIPCO)},
  title = {Complex kernels for proper complex-valued signals: A review},
  year = {2015},
  pages = {2371-2375},
  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 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.},
  keywords = {adaptive filters;filtering theory;Gaussian processes;regression analysis;complex-valued signals;adaptive filtering;complex-valued kernel;nonlinear channel equalization;Gaussian process;Kernel;Covariance matrices;Europe;Convolution;Symmetric matrices;Adaptation models;Gaussian processes;regression;proper complex processes;kernel methods},
  doi = {10.1109/EUSIPCO.2015.7362809},
  issn = {2076-1465},
  month = {Aug},
  url = {https://www.eurasip.org/proceedings/eusipco/eusipco2015/papers/1570105115.pdf},
}

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