A Quaternion Least Mean Phase adaptive estimator

Author

Talebi, Sayed Pouria ; Dongpo Xu ; Kuh, Anthony ; Mandic, Danilo

Author_Institution

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

fYear

2014

fDate

4-9 May 2014

Firstpage

6419

Lastpage

6423

Abstract

A Quaternion Least Mean Phase (QLMP) algorithm is introduced for phase-only adaptive filtering of quaternion-valued signals. This is achieved by first defining the notion of phase in the quaternion domain based on the exponential representation of quaternion random variables, and then using the HR-calculus to derive a steepest-decent weight update. The advantages of this adaptive algorithm are illustrated in a bearings only tracking scenario, where the QLMP is shown to outperform the amplitude-phase based quaternion Least Mean Square (QLMS).

Keywords

adaptive estimation; adaptive filters; least mean squares methods; phase estimation; HR-calculus; QLMP algorithm; exponential representation; phase-only adaptive filtering; quaternion domain; quaternion least mean phase adaptive estimator; quaternion random variables; quaternion-valued signals; steepest-decent weight update; Algorithm design and analysis; Cost function; Least squares approximations; Quaternions; Sensors; Signal processing algorithms; Vectors; Quaternions; adaptive signal processing; bearings only tracking; phase estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on

Conference_Location

Florence

Type

conf

DOI

10.1109/ICASSP.2014.6854840

Filename

6854840