基于辅助阵元的幅相误差和DOA同时估计算法

doi:10.3969/j.issn.1009-086x.2023.02.010

现代防御技术 ›› 2023, Vol. 51 ›› Issue (2): 84-90.DOI: 10.3969/j.issn.1009-086x.2023.02.010

• 目标特性与探测跟踪技术 • 上一篇下一篇

基于辅助阵元的幅相误差和DOA同时估计算法

赵海洲, 王小哲, 孙晨, 郭艺夺

空军工程大学防空反导学院，陕西西安 710051

收稿日期:2022-03-19 修回日期:2022-10-17 出版日期:2023-04-28 发布日期:2023-05-05
作者简介:赵海洲(1978-)，男，陕西西安人。副教授，硕士，主要研究方向为雷达工程。
基金资助:
陕西省自然科学基金(2023-JC-YB-553);国家自然科学基金(61501501)

Simultaneous Estimation of Sensor Gain-Phase Error and DOA Based on Auxiliary Array Elements

Haizhou ZHAO, Xiaozhe WANG, Chen SUN, Yiduo GUO

Air and Missile Defense College，Air Force Engineering University，Xi’an 710051，China

Received:2022-03-19 Revised:2022-10-17 Online:2023-04-28 Published:2023-05-05

摘要/Abstract

摘要：

针对阵元幅相误差使波达方向（direction of arrival,DOA）估计精度下降的问题，提出了一种阵元幅相误差和DOA同时估计算法。该算法通过在阵列一侧设置少量已校正阵元，改变了误差矩阵的结构，并根据改变后的矩阵特征构造了变换矩阵，通过构造的变换矩阵和子空间算法，实现了对阵元幅相误差和DOA的同时估计。此外，该算法能够解决信源功率存在较大差异时误差估计不准的问题，实现了高精度的误差和角度的同时估计。计算机仿真结果证明了所提算法的正确性和有效性。

关键词: 阵元幅相误差, DOA估计, 辅助阵元, 误差校正, 子空间算法

Abstract:

A simultaneous estimation algorithm of the sensor gain-phase error and direction of arrival （DOA） is proposed to solve the problem of reduced DOA estimation accuracy due to the sensor gain-phase error. By setting few calibrated array elements on one side of the array， the proposed algorithm changes the structure of the error matrix， according to the characteristics of which it then constructs a transformation matrix. Through the transformation matrix and subspace algorithm， the simultaneous estimation of sensor gain-phase errors and DOA is realized. In addition， the algorithm can solve the problem of inaccurate error estimation when there is a large difference in the source power and achieve a high-precision simultaneous estimation of errors and angles. The experimental simulations demonstrate the correctness and validity of this algorithm.

Key words: sensor gain-phase error, direction of arrival（DOA） estimation, auxiliary array elements, error calibration, subspace algorithm

中图分类号:

TN957.5

赵海洲, 王小哲, 孙晨, 郭艺夺. 基于辅助阵元的幅相误差和DOA同时估计算法[J]. 现代防御技术, 2023, 51(2): 84-90.

Haizhou ZHAO, Xiaozhe WANG, Chen SUN, Yiduo GUO. Simultaneous Estimation of Sensor Gain-Phase Error and DOA Based on Auxiliary Array Elements[J]. Modern Defense Technology, 2023, 51(2): 84-90.

图/表 6

图1 均匀线阵结构示意图

Fig. 1 Structure of uniform inear array

图2 空间谱

Fig. 2 Spatial spectrum

表1 阵元幅相误差估计值

Table 1 Estimated sensor gain-phase errors

序号	幅度误差		相位误差/rad
序号	真实值	估计值	真实值	估计值
1	1	1	0	0
2	0.961 7	0.956 4	0.094 6	0.098 5
3	1.148 0	1.148 1	0.142 2	0.146 4
4	0.868 4	0.864 4	0.366 7	0.366 2
5	1.173 8	1.170 0	0.216 5	0.214 7
6	1.065 6	1.062 6	-0.162 8	-0.164 0
7	0.843 2	0.836 2	-0.019 8	-0.018 2
8	0.889 0	0.892 1	0.242 4	0.246 3
9	0.973 7	0.975 6	0.181 8	0.176 8
10	1.105 4	1.094 1	0.268 0	0.266 3
11	1.149 0	1.147 3	0.176 4	0.175 6
12	1.156 7	1.147 5	-0.092 3	-0.101 2

图3 DOA估计值的RMSE与SNR的关系

Fig. 3 Relationship between RMSE and SNR of estimated DOA

图4 阵元幅相误差估计值的RMSE和SNR的关系，INR = 40 dB，K = 200

Fig. 4 Relationship between RMSE and SNR of estimated sensor gain-phase errors INR = 40 dB， K = 200

图5 2种算法的运行时间对比

Fig. 5 Comparison of running time between two algorithms

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基于辅助阵元的幅相误差和DOA同时估计算法

Simultaneous Estimation of Sensor Gain-Phase Error and DOA Based on Auxiliary Array Elements

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