Title :
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
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;
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on
Conference_Location :
Florence
DOI :
10.1109/ICASSP.2014.6854840
