Paper Info
Title
The complex Gaussian kernel LMS algorithm
Abstract
Although the real reproducing kernels are used in an increasing number of machine learning problems, complex kernels have not, yet, been used, in spite of their potential interest in applications such as communications. In this work, we focus our attention on the complex gaussian kernel and its possible application in the complex Kernel LMS algorithm. In order to derive the gradients needed to develop the complex kernel LMS (CKLMS), we employ the powerful tool of Wirtinger's Calculus, which has recently attracted much attention in the signal processing community. Writinger's calculus simplifies computations and offers an elegant tool for treating complex signals. To this end, the notion of Writinger's calculus is extended to include complex RKHSs. Experiments verify that the CKLMS offers significant performance improvements over the traditional complex LMS or Widely Linear complex LMS (WL-LMS) algorithms, when dealing with nonlinearities.
Year
DOI
Venue
2010
10.1007/978-3-642-15822-3_2
international conference on artificial neural networks
Keywords
DocType
Volume
complex kernel,calculus simplifies computation,kernel methods,traditional complex lms,complex gaussian kernel lms,linear complex lms,powerful tool,complex kernels,complex gaussian kernel,complex signal,reproducing kernel hilbert spaces,complex kernel lms algorithm,kernels,elegant tool,wirtinger calculus,lms,complex rkhss
Conference
abs/1005.0897
ISSN
ISBN
Citations 
0302-9743
3-642-15821-8
5
PageRank 
References 
Authors
0.62
17
2
Name
Order
Citations
PageRank
Pantelis Bouboulis117111.05
Sergios Theodoridis21353106.97