DocumentCode :
590709
Title :
An alternative kernel adaptive filtering algorithm for quaternion-valued data
Author :
Ogunfunmi, Tokunbo ; Paul, Thara
Author_Institution :
Santa Clara Univ., Santa Clara, CA, USA
fYear :
2012
fDate :
3-6 Dec. 2012
Firstpage :
1
Lastpage :
5
Abstract :
Nonlinear adaptive filters are getting more common and are useful especially where performance of linear adaptive filters may be unacceptable. Such areas include communications, image processing and biological systems. Quaternion valued data has also been drawing recent interest in various areas of statistical signal processing, including adaptive filtering, image pattern recognition, and modeling and tracking of motion. The benefit for quaternion valued processing includes performing data transformations in a 3 or 4-dimensional space in a more convenient fashion than using vector algebra. In this paper we describe an alternative kernel adaptive filter for quaternion valued data we refer to as the involution Quaternion Kernel Least Mean Square (iQuat-KLMS) algorithm. The approach is based on the Quaternion KLMS (Quat-KLMS) algorithm obtained previously, as well as the recently-developed involution gradient (i-gradient). A modified HR Calculus for Hilbert spaces is used for finding cost function gradients defined on a quaternion RKHS. Simulation tests with a synthetic quaternion channel are used to verify the benefit of iQuat-KLMS in convergence compared to Quat-KLMS.
Keywords :
adaptive filters; filtering theory; least mean squares methods; signal processing; statistical analysis; 3-dimensional space; 4-dimensional space; HR Calculus; Hilbert spaces; alternative kernel adaptive filtering algorithm; cost function gradients; iQuat-KLMS; image pattern recognition; involution quaternion kernel least mean square algorithm; motion tracking; nonlinear adaptive filters; quaternion KLMS; quaternion RKHS; quaternion-valued data; statistical signal processing; vector algebra; Adaptation models; Adaptive filters; Calculus; Convergence; Kernel; Quaternions; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Signal & Information Processing Association Annual Summit and Conference (APSIPA ASC), 2012 Asia-Pacific
Conference_Location :
Hollywood, CA
Print_ISBN :
978-1-4673-4863-8
Type :
conf
Filename :
6411856
Link To Document :
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