最差性能最优的波束形成算法与敏度分析
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- 英文论文题名：Beamforming algorithm and sensitive analysis for worst-case optimization
- 论文作者：陈超贤
- 英文论文作者：CHEN Chao-xian ; Party School of C.P.C.Qingdao Municipal Committee
- 年：2016
- 作者机构：中共青岛市委党校管理教研部;
- 论文关键词：稳健波束形成 ; 约束最小二乘问题 ; 敏度分析
- 英文论文关键词：robust beamformer ; least squares problems with constraints ; sensitive analysis
- 会议召开时间：2016-08-21
- 会议录名称：2016’中国西部声学学术交流会论文集
- 语种：中文
- 分类号：TN911.7
- 学会代码：SXJS
- 会议名称：2016’中国西部声学学术交流会
- 会议地点：中国四川成都
- 主办单位：中国声学学会微声学分会、中国声学学会物理声学分会、陕西省声学学会、浙江省声学学会、山东省声学学会、上海市声学学会、黑龙江省声学学会、水声技术重点实验室、重庆市声学学会、西安市声学学会、四川省声学学会
- 学会名称：《声学技术》编辑部
- 页数：3
- 文件大小：371k
- 原文格式：D
- 会议级别：全国
摘要
随着阵列信号处理的发展,波束形成技术已成为声纳信号处理的一个重要组成部分。目前,寻求高效快速的稳健波束形成算法是许多研究者追求的目标之一。本文提出一个想法,将最差性能最优的波束形成器置于约束最小二乘框架下研究。为避免求解长期方程,进一步提高算法的计算效率,减少计算量,本文给出一个简单的计算近似最优加载量的公式。与现有的一些算法相比,基于约束最小二乘的算法在提高计算效率的同时还保持了优良的稳健波束形成器输出性能。同时,本文把最差性能最优的波束形成器的敏度分析归结为约束最小二乘问题的扰动分析,给出了相应的条件数,从而得到一些对设计稳健波束形成器有指导意义的结论。
With the development of array signal processing, beamforming has been an important part of sonar signal processing. At present, many researchers are trying to study highly efficient algorithms for robust beamforming. This paper putts forward an idea that investigating the worst-caseoptimization beamformer under the frame of least squares(LS) with constraints. To avoid solving secular equation, enhance computational efficiency further and reduce operations, this paper gives a simple approximate formula for computing the optimum loading factor. Compared with some existing algorithms, these derived algorithm based on LS with constraints enhance computational efficiency and keep up excellent output performance of robust beamformer. Meanwhile, this paper reduces the sensitive analysis of the worst-case optimization beamformer to perturbation analysis of least squares(LS) problems with constraints, gives condition number correspondingly, and therefore derives some constructive conclusions for designing robust beamformers.
With the development of array signal processing, beamforming has been an important part of sonar signal processing. At present, many researchers are trying to study highly efficient algorithms for robust beamforming. This paper putts forward an idea that investigating the worst-caseoptimization beamformer under the frame of least squares(LS) with constraints. To avoid solving secular equation, enhance computational efficiency further and reduce operations, this paper gives a simple approximate formula for computing the optimum loading factor. Compared with some existing algorithms, these derived algorithm based on LS with constraints enhance computational efficiency and keep up excellent output performance of robust beamformer. Meanwhile, this paper reduces the sensitive analysis of the worst-case optimization beamformer to perturbation analysis of least squares(LS) problems with constraints, gives condition number correspondingly, and therefore derives some constructive conclusions for designing robust beamformers.
引文
[1]何挺.阵列稳健波束形成算法研究[D].西安:西安电子科技大学,2014.23-28.HE T.Research on Array robust beamforming algorithms[D].Xian:Xi Dian University,2014.23-28.
[2]刘聪锋,廖桂生.最差性能最优的稳健波束形成算法[J].西安电子科技大学学报,2010;37(1):1-7.LIU C F,LIAO G S.Robust Beamforming Algorithm for Worst-case Optimization[J].Journal of Xi Dian University,2010;37(1):1-7.
[3]郭鑫,葛凤翔,任岁玲,郭良浩.一种最差情况下性能最优化的特征分析自适应波束形成方法[J].声学学报,2015;(2):187-197.GUO X,GE F X,REN S L,GUO L H.An adaptive beamforming method for characteristic analysis of the worst-case performance optimization[J].Acta Acustica,2015;(2):187-197.
[2]刘聪锋,廖桂生.最差性能最优的稳健波束形成算法[J].西安电子科技大学学报,2010;37(1):1-7.LIU C F,LIAO G S.Robust Beamforming Algorithm for Worst-case Optimization[J].Journal of Xi Dian University,2010;37(1):1-7.
[3]郭鑫,葛凤翔,任岁玲,郭良浩.一种最差情况下性能最优化的特征分析自适应波束形成方法[J].声学学报,2015;(2):187-197.GUO X,GE F X,REN S L,GUO L H.An adaptive beamforming method for characteristic analysis of the worst-case performance optimization[J].Acta Acustica,2015;(2):187-197.