Robust Recursive Algorithm under Uncertainties via Worst-Case SINR Maximization

The performance of traditional constrained-LMS (CLMS) algorithm is known to degrade seriously in the presence of small training data size and mismatches between the assumed array response and the true array response. In this paper, we develop a robust constrained-LMS (RCLMS) algorithm based on worst...

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Main Authors: Xin Song, Feng Wang, Jinkuan Wang, Jingguo Ren
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Electrical and Computer Engineering
Online Access:http://dx.doi.org/10.1155/2015/458521
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author Xin Song
Feng Wang
Jinkuan Wang
Jingguo Ren
author_facet Xin Song
Feng Wang
Jinkuan Wang
Jingguo Ren
author_sort Xin Song
collection DOAJ
description The performance of traditional constrained-LMS (CLMS) algorithm is known to degrade seriously in the presence of small training data size and mismatches between the assumed array response and the true array response. In this paper, we develop a robust constrained-LMS (RCLMS) algorithm based on worst-case SINR maximization. Our algorithm belongs to the class of diagonal loading techniques, in which the diagonal loading factor is obtained in a simple form and it decreases the computation cost. The updated weight vector is derived by the descent gradient method and Lagrange multiplier method. It demonstrates that our proposed recursive algorithm provides excellent robustness against signal steering vector mismatches and the small training data size and, has fast convergence rate, and makes the mean output array signal-to-interference-plus-noise ratio (SINR) consistently close to the optimal one. Some simulation results are presented to compare the performance of our robust algorithm with the traditional CLMS algorithm.
format Article
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institution Kabale University
issn 2090-0147
2090-0155
language English
publishDate 2015-01-01
publisher Wiley
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series Journal of Electrical and Computer Engineering
spelling doaj-art-3c59050dd3bb476eb49befe0764540912025-08-20T03:55:37ZengWileyJournal of Electrical and Computer Engineering2090-01472090-01552015-01-01201510.1155/2015/458521458521Robust Recursive Algorithm under Uncertainties via Worst-Case SINR MaximizationXin Song0Feng Wang1Jinkuan Wang2Jingguo Ren3Engineering Optimization and Smart Antenna Institute, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaState Grid Ningxia Information & Communication Company, Great Wall East Road, No. 277, Xingqing District, Ningxia 750000, ChinaEngineering Optimization and Smart Antenna Institute, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaEngineering Optimization and Smart Antenna Institute, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaThe performance of traditional constrained-LMS (CLMS) algorithm is known to degrade seriously in the presence of small training data size and mismatches between the assumed array response and the true array response. In this paper, we develop a robust constrained-LMS (RCLMS) algorithm based on worst-case SINR maximization. Our algorithm belongs to the class of diagonal loading techniques, in which the diagonal loading factor is obtained in a simple form and it decreases the computation cost. The updated weight vector is derived by the descent gradient method and Lagrange multiplier method. It demonstrates that our proposed recursive algorithm provides excellent robustness against signal steering vector mismatches and the small training data size and, has fast convergence rate, and makes the mean output array signal-to-interference-plus-noise ratio (SINR) consistently close to the optimal one. Some simulation results are presented to compare the performance of our robust algorithm with the traditional CLMS algorithm.http://dx.doi.org/10.1155/2015/458521
spellingShingle Xin Song
Feng Wang
Jinkuan Wang
Jingguo Ren
Robust Recursive Algorithm under Uncertainties via Worst-Case SINR Maximization
Journal of Electrical and Computer Engineering
title Robust Recursive Algorithm under Uncertainties via Worst-Case SINR Maximization
title_full Robust Recursive Algorithm under Uncertainties via Worst-Case SINR Maximization
title_fullStr Robust Recursive Algorithm under Uncertainties via Worst-Case SINR Maximization
title_full_unstemmed Robust Recursive Algorithm under Uncertainties via Worst-Case SINR Maximization
title_short Robust Recursive Algorithm under Uncertainties via Worst-Case SINR Maximization
title_sort robust recursive algorithm under uncertainties via worst case sinr maximization
url http://dx.doi.org/10.1155/2015/458521
work_keys_str_mv AT xinsong robustrecursivealgorithmunderuncertaintiesviaworstcasesinrmaximization
AT fengwang robustrecursivealgorithmunderuncertaintiesviaworstcasesinrmaximization
AT jinkuanwang robustrecursivealgorithmunderuncertaintiesviaworstcasesinrmaximization
AT jingguoren robustrecursivealgorithmunderuncertaintiesviaworstcasesinrmaximization