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The Generalized Sidelobe Canceller Based on Quaternion Widely Linear Processing

We investigate the problem of quaternion beamforming based on widely linear processing. First, a quaternion model of linear symmetric array with two-component electromagnetic (EM) vector sensors is presented. Based on array's quaternion model, we propose the general expression of a quaternion s...

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Detalles Bibliográficos
Autores principales: Tao, Jian-wu, Chang, Wen-xiu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4032679/
https://www.ncbi.nlm.nih.gov/pubmed/24955425
http://dx.doi.org/10.1155/2014/942923
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author Tao, Jian-wu
Chang, Wen-xiu
author_facet Tao, Jian-wu
Chang, Wen-xiu
author_sort Tao, Jian-wu
collection PubMed
description We investigate the problem of quaternion beamforming based on widely linear processing. First, a quaternion model of linear symmetric array with two-component electromagnetic (EM) vector sensors is presented. Based on array's quaternion model, we propose the general expression of a quaternion semiwidely linear (QSWL) beamformer. Unlike the complex widely linear beamformer, the QSWL beamformer is based on the simultaneous operation on the quaternion vector, which is composed of two jointly proper complex vectors, and its involution counterpart. Second, we propose a useful implementation of QSWL beamformer, that is, QSWL generalized sidelobe canceller (GSC), and derive the simple expressions of the weight vectors. The QSWL GSC consists of two-stage beamformers. By designing the weight vectors of two-stage beamformers, the interference is completely canceled in the output of QSWL GSC and the desired signal is not distorted. We derive the array's gain expression and analyze the performance of the QSWL GSC in the presence of one type of interference. The advantage of QSWL GSC is that the main beam can always point to the desired signal's direction and the robustness to DOA mismatch is improved. Finally, simulations are used to verify the performance of the proposed QSWL GSC.
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spelling pubmed-40326792014-06-22 The Generalized Sidelobe Canceller Based on Quaternion Widely Linear Processing Tao, Jian-wu Chang, Wen-xiu ScientificWorldJournal Research Article We investigate the problem of quaternion beamforming based on widely linear processing. First, a quaternion model of linear symmetric array with two-component electromagnetic (EM) vector sensors is presented. Based on array's quaternion model, we propose the general expression of a quaternion semiwidely linear (QSWL) beamformer. Unlike the complex widely linear beamformer, the QSWL beamformer is based on the simultaneous operation on the quaternion vector, which is composed of two jointly proper complex vectors, and its involution counterpart. Second, we propose a useful implementation of QSWL beamformer, that is, QSWL generalized sidelobe canceller (GSC), and derive the simple expressions of the weight vectors. The QSWL GSC consists of two-stage beamformers. By designing the weight vectors of two-stage beamformers, the interference is completely canceled in the output of QSWL GSC and the desired signal is not distorted. We derive the array's gain expression and analyze the performance of the QSWL GSC in the presence of one type of interference. The advantage of QSWL GSC is that the main beam can always point to the desired signal's direction and the robustness to DOA mismatch is improved. Finally, simulations are used to verify the performance of the proposed QSWL GSC. Hindawi Publishing Corporation 2014 2014-04-29 /pmc/articles/PMC4032679/ /pubmed/24955425 http://dx.doi.org/10.1155/2014/942923 Text en Copyright © 2014 J.-w. Tao and W.-x. Chang. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Tao, Jian-wu
Chang, Wen-xiu
The Generalized Sidelobe Canceller Based on Quaternion Widely Linear Processing
title The Generalized Sidelobe Canceller Based on Quaternion Widely Linear Processing
title_full The Generalized Sidelobe Canceller Based on Quaternion Widely Linear Processing
title_fullStr The Generalized Sidelobe Canceller Based on Quaternion Widely Linear Processing
title_full_unstemmed The Generalized Sidelobe Canceller Based on Quaternion Widely Linear Processing
title_short The Generalized Sidelobe Canceller Based on Quaternion Widely Linear Processing
title_sort generalized sidelobe canceller based on quaternion widely linear processing
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4032679/
https://www.ncbi.nlm.nih.gov/pubmed/24955425
http://dx.doi.org/10.1155/2014/942923
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