Direction Finding Method of Arbitrary Planar Array Interferometer Based on Baseline-by-Baseline Convergence

doi:10.3969/j.issn.1009-086x.2024.06.010

Abstract

Abstract:

This paper proposes a method based on baseline-by-baseline convergence to meet the requirements of fast two-dimensional direction-finding of an arbitrary planar array. Firstly， this paper establishes the geometrical and signal models and derives the two-dimensional direction of the arrival formula under the no-phase ambiguity condition. Then， a baseline-by-baseline convergent method is proposed to resolve ambiguity based on the correlation between the baseline template and measured phase difference. Finally， an eight-element arbitrary planar array interferometer verifies the algorithm's effectiveness. The experimental results show that this advanced method can effectively improve the interferometer's two-dimensional direction-finding efficiency by converging the potential angle combination according to the correlation between the phase difference of each baseline template and the measured phase difference.

Key words: interferometer, direction-finding method, arbitrary planar array, phase ambiguity resolution, correlation interferometer direction finding

摘要：

为满足任意平面阵的快速二维测向需求，提出了一种逐基线收敛的干涉仪测向方法。建立了任意平面阵的几何模型与信号模型，在无相位模糊条件下推导出了二维来波方向解算公式。基于真实角度下基线模板相位差与测得相位差的相关性，提出了一种逐基线收敛的解模糊方法。通过一组八元任意平面阵干涉仪实例验证了该算法的有效性。实验结果表明，依据各基线模板相位差与测得相位差的相关性逐次对潜在二维来波方向组合进行收敛，能够有效地提升干涉仪二维测向效率。

关键词: 干涉仪, 测向方法, 任意平面阵, 相位解模糊, 相关干涉仪测向

CLC Number:

TN971

Feng ZUO, Yi LU, Meifang LUO. Direction Finding Method of Arbitrary Planar Array Interferometer Based on Baseline-by-Baseline Convergence[J]. Modern Defense Technology, 2024, 52(6): 72-79.

左峰, 卢毅, 罗美方. 基于逐基线收敛的任意平面阵干涉仪测向方法[J]. 现代防御技术, 2024, 52(6): 72-79.

Figures/Tables 13

Fig. 1 Arbitrary planar array interferometer geometry

Fig. 2 Flowchart of de-ambiguity by relevance evaluation

Fig. 3 Flowchart of improved de-ambiguity method

Fig. 4 Element antennas distribution diagram

Table 1 Interferometer array element coordinates

序号	x/cm	y/cm	序列	x/cm	y/cm
1	-7.98	21.00	5	-14.63	-18.00
2	-8.65	-22.50	6	-13.31	-19.50
3	15.30	19.50	7	-4.65	22.50
4	-19.95	-12.00	8	9.97	-22.50

Fig. 5 Unambiguous phase difference of 1st baseline

Fig. 6 Unambiguous phase difference of 2st baseline

Fig. 7 Correlation processing times after convergence

Table 2 Simulation verification parameters

参数	数值	参数	数值
频率/GHz	13	信噪比/dB	10
相位不一致性/（°）	10	试验次数	1 000

Fig. 8 Mean square error of azimuth measurement

Fig. 9 Mean square error of pitch angle measurement

Fig. 10 De-ambiguation probability of different angle

Fig. 11 De-ambiguation probability of traditional method

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