多天线少通道场景下原子范数最小化DOA估计算法

Direction of arrival estimation using atomic norm minimization under multi-antenna and limited channel scenarios

  • 摘要: 【目的】为了解决测向平台硬件系统结构复杂,体积大,成本高的问题,实现测向设备的小型化和便捷化,提出了一种基于通道切换的多快拍原子范数最小化波达方向(DOA)估计算法。【方法】该算法通过构造一个开关切换矩阵,且开关切换矩阵随采样次数随机变化,从而得到开关切换之后的数据,构建出多快拍有噪声模型下的原子范数最小化问题,根据半正定规划问题的最优解建立Toeplitz矩阵,通过Vandermonde分解获得信号DOA 信息。【结果】仿真实验表明,在阵元数为24,通道数为12,信噪比为5dB,快拍数为100时,该算法的均方根误差低于0.1°,且当两个信号的角度间隔为0.6°时,该算法的分辨成功概率为100%。【结论】在保证测角精度和角分辨力的同时降低了系统复杂度和硬件成本。

     

    Abstract: Objectives To address the problems of structural complexity, large size, and high cost in traditional direction-finding platforms and to achieve miniaturization and portability of direction-finding equipment, this paper proposes a multi-snapshot atomic norm minimization direction-of-arrival (DOA) estimation algorithm based on channel switching. Methods A switching matrix is constructed whose configuration randomly varies with each sampling instance, generating the switched observation data. Under a multi-snapshot noisy model, the atomic norm minimization problem is formulated and transformed into a semidefinite programming (SDP) problem. The optimal solution of the SDP is used to construct a Toeplitz matrix, from which the DOA information of the signals is extracted via Vandermonde decomposition. Results Simulation results show that when the number of array elements is 24, the number of receiving channels is 12, the signal-to-noise ratio is 5 dB, and the number of snapshots is 100, the proposed algorithm achieves a root-mean-square error below 0.1°. Moreover, when the angular separation between two signals is 0.6°, the probability of successful resolution reaches 100%. Conclusions The proposed method effectively reduces system complexity and hardware cost while maintaining high direction-finding accuracy and angular resolution, providing a feasible solution for compact and high-precision DOA measurement systems.

     

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