Doubly Constrained Robust Blind Beamforming Algorithm

We propose doubly constrained robust least-squares constant modulus algorithm (LSCMA) to solve the problem of signal steering vector mismatches via the Bayesian method and worst-case performance optimization, which is based on the mismatches between the actual and presumed steering vectors. The weig...

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Main Authors: Xin Song, Jingguo Ren, Qiuming Li
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/245609
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author Xin Song
Jingguo Ren
Qiuming Li
author_facet Xin Song
Jingguo Ren
Qiuming Li
author_sort Xin Song
collection DOAJ
description We propose doubly constrained robust least-squares constant modulus algorithm (LSCMA) to solve the problem of signal steering vector mismatches via the Bayesian method and worst-case performance optimization, which is based on the mismatches between the actual and presumed steering vectors. The weight vector is iteratively updated with penalty for the worst-case signal steering vector by the partial Taylor-series expansion and Lagrange multiplier method, in which the Lagrange multipliers can be optimally derived and incorporated at each step. A theoretical analysis for our proposed algorithm in terms of complexity cost, convergence performance, and SINR performance is presented in this paper. In contrast to the linearly constrained LSCMA, the proposed algorithm provides better robustness against the signal steering vector mismatches, yields higher signal captive performance, improves greater array output SINR, and has a lower computational cost. The simulation results confirm the superiority of the proposed algorithm on beampattern control and output SINR enhancement.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-06515fc45a1844d1bfc4d3bffa495a1b2025-08-20T03:54:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/245609245609Doubly Constrained Robust Blind Beamforming AlgorithmXin Song0Jingguo Ren1Qiuming Li2Engineering Optimization and Smart Antenna Institute, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaEngineering Optimization and Smart Antenna Institute, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaEngineering Optimization and Smart Antenna Institute, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaWe propose doubly constrained robust least-squares constant modulus algorithm (LSCMA) to solve the problem of signal steering vector mismatches via the Bayesian method and worst-case performance optimization, which is based on the mismatches between the actual and presumed steering vectors. The weight vector is iteratively updated with penalty for the worst-case signal steering vector by the partial Taylor-series expansion and Lagrange multiplier method, in which the Lagrange multipliers can be optimally derived and incorporated at each step. A theoretical analysis for our proposed algorithm in terms of complexity cost, convergence performance, and SINR performance is presented in this paper. In contrast to the linearly constrained LSCMA, the proposed algorithm provides better robustness against the signal steering vector mismatches, yields higher signal captive performance, improves greater array output SINR, and has a lower computational cost. The simulation results confirm the superiority of the proposed algorithm on beampattern control and output SINR enhancement.http://dx.doi.org/10.1155/2013/245609
spellingShingle Xin Song
Jingguo Ren
Qiuming Li
Doubly Constrained Robust Blind Beamforming Algorithm
Journal of Applied Mathematics
title Doubly Constrained Robust Blind Beamforming Algorithm
title_full Doubly Constrained Robust Blind Beamforming Algorithm
title_fullStr Doubly Constrained Robust Blind Beamforming Algorithm
title_full_unstemmed Doubly Constrained Robust Blind Beamforming Algorithm
title_short Doubly Constrained Robust Blind Beamforming Algorithm
title_sort doubly constrained robust blind beamforming algorithm
url http://dx.doi.org/10.1155/2013/245609
work_keys_str_mv AT xinsong doublyconstrainedrobustblindbeamformingalgorithm
AT jingguoren doublyconstrainedrobustblindbeamformingalgorithm
AT qiumingli doublyconstrainedrobustblindbeamformingalgorithm