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Fully Quaternion-Valued Adaptive Beamforming Based on Crossed-Dipole Arrays

Communications Research Group, Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield S1 4ET, UK
Author to whom correspondence should be addressed.
Academic Editors: Hamid Bahrami, Xu Zhu and Nicholas J. Kirsch
Electronics 2017, 6(2), 34;
Received: 4 March 2017 / Revised: 15 April 2017 / Accepted: 25 April 2017 / Published: 27 April 2017
(This article belongs to the Special Issue Smart Antennas and MIMO Communications)
PDF [721 KB, uploaded 27 April 2017]


Based on crossed-dipole antenna arrays, quaternion-valued data models have been developed for both direction of arrival estimation and beamforming in the past. However, for almost all the models, and especially for adaptive beamforming, the desired signal is still complex-valued as in the quaternion-valued Capon beamformer. Since the complex-valued desired signal only has two components, while there are four components in a quaternion, only two components of the quaternion-valued beamformer output are used and the remaining two are simply discarded, leading to significant redundancy in its implementation. In this work, we consider a quaternion-valued desired signal and develop a fully quaternion-valued Capon beamformer which has a better performance and a much lower complexity. Furthermore, based on this full quaternion model, the robust beamforming problem is also studied in the presence of steering vector errors and a worst-case-based robust beamformer is developed. The performance of the proposed methods is verified by computer simulations. View Full-Text
Keywords: quaternion model; crossed-dipole; Capon beamformer; vector sensor array; robust beamforming quaternion model; crossed-dipole; Capon beamformer; vector sensor array; robust beamforming

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Lan, X.; Liu, W. Fully Quaternion-Valued Adaptive Beamforming Based on Crossed-Dipole Arrays. Electronics 2017, 6, 34.

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