一种新的二维角度估计的高分辨算法

杨雪亚; 陈伯孝

doi:10.3724/SP.J.1146.2009.00515

一种新的二维角度估计的高分辨算法

doi: 10.3724/SP.J.1146.2009.00515

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出版历程
- 收稿日期: 2009-04-10
- 修回日期: 2009-10-08
- 刊出日期: 2010-04-19

A High-Resolution Method for 2D DOA Estimation

摘要

摘要: 该文针对常规2维波达方向估计的高分辨算法运算量大和稳健性差等问题，提出了一种新的2维角度估计的高分辨方法。该方法首先建立基于范数约束的最优化问题的目标函数；然后用迭代算法沿均匀面阵接收数据的方位向求最小化目标函数的稀疏解，得到方位、俯仰角耦合的空间角频率，并分离信号；最后对每个分离的信号，沿面阵俯仰向求稀疏解，得到信号的俯仰角，进而求得对应的方位角。针对算法存在测角盲区的问题，提出了一种改进方法，通过求解空间2维稀疏解得到信号的2维角度。与传统的高分辨算法相比，该方法对信噪比和快拍数要求不高、无需特征值分解和多维搜索过程，具有较高的分辨力和极低的旁瓣电平。
- 波达方向; 稀疏解; 均匀平面阵; 迭代算法
Abstract: A high-resolution algorithm for 2D DOA estimation is proposed to reduce the computational complexity of traditional high-resolution methods. The objective function of the optimization issue based on norm constraint is developed firstly. Then the sparse solution corresponding to the received data along the azimuth dimension is deduced by solving the minimization problem using the iteration algorithm, then it is used to obtain the angular frequencies in which azimuth and elevation angles are coupled, and signals of different angular frequencies are separated. Finally, the sparse solution relating to each signal is obtained to get the elevation angle and then compute the corresponding azimuth angle. A modified method is presented to overcome the blind angular region problem occurred in the algorithm. Compared with the traditional high-resolution methods, the proposed method has lower SNR threshold and simple procedure to achieve high precision with lower sidelobe level. Numerical simulation results verify the effectiveness of the method.

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