The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes

The quaternion least mean square (QLMS) algorithm is introduced for adaptive filtering of three- and four-dimensional processes, such as those observed in atmospheric modeling (wind, vector fields). These processes exhibit complex nonlinear dynamics and coupling between the dimensions, which make th...

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Bibliographic Details
Published in:	IEEE transactions on signal processing Vol. 57; no. 4; pp. 1316 - 1327
Main Authors:	Took, C.C., Mandic, D.P.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01.04.2009 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Adaptive filters Adaptive multistep ahead prediction Adaptive signal processing Algorithms Applied sciences Benchmarking data fusion via vector spaces Detection, estimation, filtering, equalization, prediction Exact sciences and technology Filtering algorithms Information theory Information, signal and communications theory Least mean squares Least squares approximation Mathematical analysis Miscellaneous multidimensional adaptive filters Multidimensional signal processing quaternion signal processing Quaternions Radar signal processing Signal and communications theory Signal processing Signal processing algorithms Signal, noise Sonar Statistics Telecommunications and information theory Vectors (mathematics) wind modeling Quaternion Adaptive filtering Adaptive filter Algorithm Modeling data fusion via vector spaces Three dimensional model wind modeling Covariance Vector space Multistep method Simulation multidimensional adaptive filters quaternion signal processing Information processing Signal processing Data fusion Adaptive multistep ahead prediction Multiple channel Vector field Least mean squares methods
ISSN:	1053-587X, 1941-0476
Online Access:	Get full text
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