基于导向矢量优化估计的稳健波束形成方法
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海军航空大学

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Robust beamforming method based on guidance vector optimization estimation
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The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    针对自适应波束形成中期望信号导向矢量失配及协方差矩阵误差对算法性能的影响,本文提出一种导向矢量与协方差矩阵联合估计的稳健波束形成方法。算法首先对Capon功率谱特征分解,重构干扰加噪声协方差矩阵;然后考虑干扰导向矢量估计误差对算法性能的影响,建立干扰导向矢量估计的不确定集约束模型,取得干扰矢量的优化估计;在此基础上按照最大化阵列输出信号功率的准则建立期望导向矢量的不确定集约束模型,利用凸二次约束二次优化迭代求解及极值搜索方法获得最优估计值。仿真结果表明本文算法提高了在导向矢量失配及阵列误差条件下波束形成性能。

    Abstract:

    This paper proposed a robust beamforming method that jointly estimated the steering vector and covariance matrix to address the impact of expected signal steering vector mismatch and covariance matrix error on algorithm performance in adaptive beamforming. Firstly, the algorithm decomposed the Capon power spectrum features and reconstructd the covariance matrix of interference and noise; Then, considering the impact of interference guidance vector estimation errors on algorithm performance, an uncertain set constraint model for interference guidance vector estimation was established to obtain an optimized estimate of the interference vector; Finally, an uncertain set constraint model for the expected steering vector was established according to the criterion of maximizing the output signal power of the array. The optimal estimation value was obtained by using convex quadratic constraint quadratic optimization iteration and extreme value search method. The simulation results show that the algorithm proposed in this paper improves the beamforming performance under conditions of guidance vector mismatch and array error.

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  • 收稿日期:2024-10-31
  • 最后修改日期:2024-11-08
  • 录用日期:2024-11-13
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