A split quaternion nonlinear adaptive filter

Author

Ujang, Che Ahmad Bukhari Che ; Took, Clive Cheong ; Kavcic, Alek ; Mandic, Danilo P.

Author_Institution

Electr. & Electron. Eng. Dept., Imperial Coll. London, London

fYear

2009

fDate

19-24 April 2009

Firstpage

1745

Lastpage

1748

Abstract

A split quaternion learning algorithm for the training of nonlinear finite impulse response filters for the modelling of hypercomplex signals is proposed. A rigorous derivation takes into account the non-commutativity of the quaternion product, an aspect not taken into account in the existing nonlinear architectures, such as the quaternion multilayer perceptron (QMLP). It is shown that the additional information present within the proposed algorithm provides an improved performance over QMLP. Simulation on both benchmark and real-world signals support the approach.

Keywords

FIR filters; adaptive filters; multilayer perceptrons; nonlinear filters; finite impulse response filters; hypercomplex signal modelling; quaternion multilayer perceptron; split quaternion learning algorithm; split quaternion nonlinear adaptive filter; Adaptive filters; Finite impulse response filter; Machine learning; Machine learning algorithms; Multidimensional systems; Multilayer perceptrons; Neural networks; Nonlinear equations; Quaternions; Signal processing; Cauchy-Riemann-Fueter equation; Machine Learning; Quaternion Multilayer Perceptron;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on

Conference_Location

Taipei

ISSN

1520-6149

Print_ISBN

978-1-4244-2353-8

Electronic_ISBN

1520-6149

Type

conf

DOI

10.1109/ICASSP.2009.4959941

Filename

4959941