基于二阶锥规划的宽带波束形成器设计

计算机工程与应用 ›› 2013, Vol. 49 ›› Issue (5): 195-199.

基于二阶锥规划的宽带波束形成器设计

刘子龙，丁淑娟，孙广俊，李铁成

中国电波传播研究所，山东青岛 266107

出版日期:2013-03-01 发布日期:2013-03-14

Design of broadband beamformer based on second-order cone programming

LIU Zilong, DING Shujuan, SUN Guangjun, LI Tiecheng

China Research Institute of Radiowave Propagation, Qingdao, Shandong 266107, China

Online:2013-03-01 Published:2013-03-14

摘要/Abstract

摘要： 宽带波束形成器有两种典型的实现方式，分别基于FIR滤波器和基于长方形阵列，将这两种波束形成器的波束响应表达为统一的形式，并根据参考波束的选择情况，为该类波束优化问题的求解建立了数学模型，该数学模型属于二阶锥约束问题，可以用二阶锥规划方法进行求解。仿真结果表明，提出的求解宽带恒定束宽响应波束形成器权系数的数学模型具有通用性，并且把二阶锥规划方法运用到宽带波束形成器优化设计中，其约束控制灵活，问题求解方便，设计结果精确。

关键词: 二阶锥规划, 恒定束宽响应, 固定参考模板, 参数化参考模板

Abstract: Two typical structures for broadband beamformering using FIR filters and rectangular arrays are discussed respectively, their beampattern is deduced and represented by the uniform function. Based on the selection of reference beampattern, mathematical models are established for these pattern synthesis problems and then solved effectively by SOCP（Second-Order Cone Programming） methods. Simulation results suggest that the proposed mathematical models are general in finding weights of constant-beamwidth broadband beamformers, and the SOCP methods make the pattern synthesis problem with flexible constraints solved in a more accurate, convenient and easy way.

Key words: Second-Order Cone Programming（SOCP）, constant-beamwidth response, constant template, variable template

刘子龙，丁淑娟，孙广俊，李铁成. 基于二阶锥规划的宽带波束形成器设计[J]. 计算机工程与应用, 2013, 49(5): 195-199.

LIU Zilong, DING Shujuan, SUN Guangjun, LI Tiecheng. Design of broadband beamformer based on second-order cone programming[J]. Computer Engineering and Applications, 2013, 49(5): 195-199.

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[3]	刘家轩1，2，章新华3，范文涛1. 宽带距离深度域最小二乘矩阵滤波器的设计[J]. 计算机工程与应用, 2013, 49(12): 200-205.
[4]	李本星¹，冯衍秋²，马建华²，陈武凡². 二阶锥规划在MR图像重建中的应用研究[J]. 计算机工程与应用, 2009, 45(29): 156-159.