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Robust adaptive beamforming with random steering vector mismatch

机译：具有随机转向矢量失配的鲁棒自适应波束成形

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摘要

In this paper, random steering vector mismatches in sensor arrays are considered and probability constraints are imposed for designing a robust minimum variance beamformer (RMVB). To solve the resultant design problem, a Bernstein-type inequality for stochastic processes of quadratic forms of Gaussian variables is employed to transform the probabilistic constraint to a deterministic form. With the use of convex optimization techniques, the deterministic problem is reformulated to a semidefinite programming (SDP) problem which can be efficiently solved. In order to overcome the degradation caused by the presence of the signal-of-interest (SOI) in the training snapshots, two methods with different application conditions to interference-plus-noise covariance matrix (INCM) construction are also introduced. Additionally, the uncertainty of the sample covariance matrix is taken into account to improve the robustness when the INCM-based approaches are not feasible. Numerical examples are presented to demonstrate the performances of the proposed robust beamformers in different scenarios.
机译：在本文中，考虑了传感器阵列中的随机转向矢量失配，并为设计鲁棒的最小方差波束形成器（RMVB）施加了概率约束。为了解决由此产生的设计问题，采用了高斯变量二次形式的随机过程的伯恩斯坦型不等式，将概率约束转换为确定性形式。通过使用凸优化技术，确定性问题被重新构造为可以有效解决的半定规划（SDP）问题。为了克服训练快照中存在感兴趣信号（SOI）引起的性能下降，还介绍了两种在干扰加噪声协方差矩阵（INCM）构造中具有不同应用条件的方法。另外，当基于INCM的方法不可行时，考虑样本协方差矩阵的不确定性以提高鲁棒性。数值例子表明了所提出的鲁棒波束形成器在不同情况下的性能。

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  • 来源
    《Signal processing》 |2016年第12期|190-194|共5页
  • 作者

    Bin Liao; Chongtao Guo; Lei Huang; Qiang Li; Guisheng Liao; H.C. So;

  • 作者单位

    College of Information Engineering, Shenzhen University, Shenzhen 518060, China;

    College of Information Engineering, Shenzhen University, Shenzhen 518060, China;

    College of Information Engineering, Shenzhen University, Shenzhen 518060, China;

    College of Information Engineering, Shenzhen University, Shenzhen 518060, China;

    National Laboratory of Radar Signal Processing, Xidian University, Xian 710071, China;

    Department of Electronic Engineering, City University of Hong Kong, Hong Kong;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Robust minimum variance beamforming; Steering vector mismatch; Semidefinite programming;

    机译：稳健的最小方差波束成形;转向矢量不匹配;半定编程;

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