北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2016, Vol. 39 ›› Issue (2): 63-68.doi: 10.13190/j.jbupt.2016.02.013

• 研究报告 • 上一篇    下一篇

概率约束稳健恒模自适应波束形成算法

钱华明1, 刘可1, 王丙子2, 马俊达1   

  1. 1. 哈尔滨工程大学 自动化学院, 哈尔滨 150001;
    2. 大庆石化建设公司 仪表一分公司, 黑龙江 大庆 163714
  • 收稿日期:2015-05-28 出版日期:2016-04-28 发布日期:2016-04-28
  • 作者简介:钱华明(1965-),男,教授,博士生导师,E-mail:qianhuam@sina.com.
  • 基金资助:

    国家自然科学基金项目(61573113);哈尔滨市科技创新人才研究专项资金(优秀学科带头人)项目(2014RFXXJ074)

Robust Constant Modulus Adaptive Beamforming Algorithm Based on Probability-Constrained Optimization

QIAN Hua-ming1, LIU Ke1, WANG Bing-zi2, MA Jun-da1   

  1. 1. College of Automation, Harbin Engineering University, Harbin 150001, China;
    2. Instrument First Branch, Daqing Petrochemical Construction Company, Heilongjiang Daqing 163714, China
  • Received:2015-05-28 Online:2016-04-28 Published:2016-04-28

摘要:

针对恒模信号,将概率约束稳健算法与恒模算法相结合,提出一种新的稳健自适应波束形成算法.先将导向偏差分为高斯随机分布和未知分布2种场景,分别建立优化代价函数,并将该优化问题转化为二阶锥规划问题,运用内点法高效求解.然后对算法求解的全局最优性进行理论分析.在数值仿真部分,用所提算法与相关稳健算法作对比仿真,验证该算法的优越性和有效性.

关键词: 稳健波束形成, 概率约束, 恒模算法, 导向矢量失配

Abstract:

This article combines probability-constrained optimization technique with constant modulus algorithm to study a new robust adaptive beamforming algorithm for constant modulus signals. Aiming at the two kinds of cases that steering vector mismatch follows the Gauss distribution and unknown distribution, the optimization cost functions are respectively built, and these optimization problems are changed to the second order cone (SOC) programming ones solved with interior point methods. Then, the convex analyses of the optimization problems are carried out as well. In the simulation, the proposed algorithm compares with related robust algorithms to demonstrate its superiority and effectiveness.

Key words: robust adaptive beamformer, probabilistic constraint, constant modulus algorithm, array steering vector errors

中图分类号: