基于几何精度稀释的矢量潜标最优布站

doi:10.12305/j.issn.1001-506X.2021.11.09

摘要/Abstract

摘要：

矢量潜标阵列是重要的反潜警戒声纳系统, 其目标精确定位能力能够为反潜警戒提供重要的信息支撑。对此, 以几何精度稀释(geometrical dilution of precision, GDOP)为定位系统性能评价指标, 推导了多阵元情况下基于到达方向定位(direction of arrival, DOA)及基于到达时差(time difference of arrival, TDOA)定位的GDOP表达式, 并仿真比较了不同阵元数量对定位性能的影响, 不同布站几何的阵列半径敏感度、测量误差敏感度、站址误差敏感度和有效作用范围等。结合潜标阵列实际应用环境, 通过仿真结果对比可以发现, 四元Y型阵是基于GDOP衡量标准的矢量潜标阵列的最优布站。

关键词: 最优布阵, 基于到达方向定位, 基于到达时差定位

Abstract:

The vector submerged buoy array is an important anti-submarine warning sonar system, and its precisely positioning capability is the important information support for anti-submarine warning. This paper takes geometrical dilution of precision (GDOP) as the evaluation index of positioning system performance. GDOP expressions of direction of arrival (DOA) location and time difference of arrival (TDOA) location with multi buoys are deduced. The effects of different number of buoys on positioning performance are compared by simulation. Array radius sensitivity, measuring error sensitivity, position error sensitivity and effective range with different station geometry are also compared by simulation. Combing with the real application environment of the submerged buoy array, the Comparison results of simulation show that the four-element Y shape array is the optimal disposition of vector submerged buoy array based on GDOP.

Key words: optimal disposition, direction of arrival (DOA) location, time difference of arrival (TDOA) location

中图分类号:

TB56

丁超, 戴卫国, 王森, 程玉胜. 基于几何精度稀释的矢量潜标最优布站[J]. 系统工程与电子技术, 2021, 43(11): 3107-3117.

Chao DING, Weiguo DAI, Sen WANG, Yusheng CHENG. Optimal disposition of vector submerged buoy array based on geometrical dilution of precision[J]. Systems Engineering and Electronics, 2021, 43(11): 3107-3117.

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阵型	阵列半径/m
阵型	100	200	300	400	500
十字阵	1.05	2.15	3.24	4.38	5.48
Y型阵	0.93	1.87	2.81	3.74	4.67

阵型	阵列半径/m
阵型	600	700	800	900	1 000
十字阵	6.60	7.72	8.82	9.90	10.96
Y型阵	5.59	6.53	7.45	8.38	9.33

阵型	阵列半径/m
阵型	100	200	300	400	500
十字阵	0.15	0.62	1.39	2.47	3.87
Y型阵	0.17	0.69	1.55	2.77	4.32

阵型	阵列半径/m
阵型	600	700	800	900	1 000
十字阵	5.57	7.58	9.90	12.53	15.48
Y型阵	6.23	8.48	11.07	14.02	17.31

阵型	测向误差标准差/(°)
阵型	0.1	0.2	0.3	0.4	0.5
十字阵	11.00	5.48	3.64	2.69	2.11
Y型阵	9.43	4.67	3.10	2.32	1.84

阵型	测向误差标准差/(°)
阵型	0.6	0.7	0.8	0.9	1.0
十字阵	1.72	1.42	0.94	0.26	0.12
Y型阵	1.51	1.25	1.02	0.82	0.63

阵型	时延误差标准差/s
阵型	0.01	0.02	0.03	0.04	0.05
十字阵	11.34	5.75	3.87	2.92	2.35
Y型阵	12.72	6.41	4.32	3.29	2.67

阵型	时延误差标准差/s
阵型	0.06	0.07	0.08	0.09	0.1
十字阵	1.98	1.71	1.53	1.40	1.29
Y型阵	2.27	1.99	1.78	1.61	1.47

阵型	站址误差标准差/m
阵型	0	2	4	6	8
十字阵	5.48	5.48	5.48	5.48	5.48
Y型阵	4.67	4.67	4.67	4.67	4.67

阵型	站址误差标准差/m
阵型	10	12	14	16	18
十字阵	5.48	5.48	5.48	5.48	5.47
Y型阵	4.67	4.67	4.66	4.66	4.65