地形遮挡对GNSS干扰范围影响的高效仿真算法

doi:10.3969/j.issn.1001-506X.2020.11.02

摘要/Abstract

摘要：

在卫星导航对抗效能的仿真中,真实地理环境的地形遮挡对全球导航卫星系统(global navigtion satellite system, GNSS)干扰源干扰范围影响的仿真计算是个重要问题。通常情况下,地形遮挡对GNSS干扰范围影响的计算通过基于视线可视域分析的算法得到,但该方法存在大量冗余计算。为了减少计算量,提出一种基于参考面可视域分析的GNSS干扰范围高效仿真计算方法,利用干扰源与目标点附近可视高程值对应的辅助格网点建立参考面,通过目标点实际高程值与参考面映射高程值判断目标点的受干扰情况,避免了目标点与干扰源视线方向上多个采样点的插值计算。仿真分析表明,当待分析区域半径约为145 290 m时,该算法与传统基于视线可视域分析的GNSS干扰范围仿真计算方法相比, Matlab耗时大幅减少了97.38%,但结果差异并不明显，仅为0.94%。因此,所提方法可以高效、准确地计算出地形影响下GNSS干扰范围,为干扰源优化部署、战场环境仿真分析等提供理论指导。

关键词: 地形遮挡, 全球导航卫星系统干扰源, 可视域分析

Abstract:

In the simulation of satellite navigation countermeasure effectiveness, the simulation calculation for the influence of terrain occlusion on the interference range of the global navigation satellite system (GNSS) interference source in real geographical environment is an important problem. In general, the calculation of the influence of terrain occlusion on GNSS interference range is obtained by the algorithm based on the line-of-sight viewshed analysis, but there are a lot of redundant calculations in this method. In order to reduce the amount of calculation, an efficient simulation calculation method of GNSS interference range based on the viewshed analysis of reference surface is proposed. The reference surface is established by using the auxiliary grid point corresponding to the visual elevation value near the interference source and target point. The interference situation of the target point is judged by the mapping elevation value of the target point and the actual elevation value of the reference surface, which avoides the interpolation calculation of multiple sampling points in the line-of-sight direction between the target point and the interference source. Simulation analysis shows that when the radius of the area to be analyzed is about 145 290 m, compared with the traditional simulation method of GNSS interference range based on the line-of-sight viewshed analysis, the Matlab time consumption is greatly reduced by 97.38%, but the results difference is not obvious, only 0.94%. Therefore, the proposed method can efficiently and accurately calculate the GNSS interference range under the influence of terrain, and provide theoretical guidance for the optimal deployment of interference sources and battlefield environment simulation analysis.

Key words: terrain blockage, global navigation satellite system (GNSS) interference source, viewshed analysis

中图分类号:

TN972

刘丹, 叶小舟, 肖伟, 刘文祥, 王飞雪. 地形遮挡对GNSS干扰范围影响的高效仿真算法[J]. 系统工程与电子技术, 2020, 42(11): 2418-2425.

Dan LIU, Xiaozhou YE, Wei XIAO, Wenxiang LIU, Feixue WANG. Efficient simulation algorithm for the influence of terrain occlusion on the GNSS interference range[J]. Systems Engineering and Electronics, 2020, 42(11): 2418-2425.

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参考文献 29

1	XIAO W , LIU W X , SUN G F . Modernization milestone: BeiDou M2-S initial signal analysis[J]. GPS Solutions, 2016, 20 (1): 125- 133. doi: 10.1007/s10291-015-0496-7
2	FARIA L A , SILVESTRE C A M , CORREIA M A F . GPS-dependent systems: vulnerabilities to electromagnetic attacks[J]. Journal of Aerospace Technology and Management, 2016, 8 (4): 423- 430. doi: 10.5028/jatm.v8i4.632
3	张坤, 曾芳玲, 欧阳晓凤, 等. GPS压制干扰效果分析[J]. 通信技术, 2018, 51 (11): 2544- 2548.
	ZHANG K , ZENG F L , OUYANG X F , et al. Analysis of GPS blanket jamming effects[J]. Communications Technology, 2018, 51 (11): 2544- 2548.
4	MITCH R H, DOUGHERTY R C, PSIAKI M L, et al. Signal characteristics of civil GPS jammers[C]//Proc.of the 24th International Technical Meeting of the Satellite Division of the Institute of Navigation, 2011: 1907-1919.
5	任菁圃, 吴卫凯. GPS电子干扰范围及效果分析[J]. 现代电子技术, 2006, 29 (3): 19- 21, 24.
	REN J P , WU W K . Analysis of the jamming range and effect of global positioning system[J]. Modern Electronics Technique, 2006, 29 (3): 19- 21, 24.
6	FARIA L A , SILVESTRE C A M , CORREIA M A F , et al. GPS jamming signals propagation in free-space, urban and su-burban environments[J]. Journal of Aerospace Technology and Management, 2018, 10, e0618.
7	JOO I, SIN C. Design of GNSS jamming propagation simulator using ITU-R P.1546 propagation model[C]//Proc.of the 15th International Conference on Control, Automation and Systems, 2015: 1359-1362.
8	JOO I, SIN C. GNSS jamming propagation prediction simulator based on ITU-R P.1546 model[C]//Proc.of the 16th International Conference on Control, Automation and Systems, 2016: 1002-1004.
9	ITU-R P. 1546. Recommendation ITU-R P. 1546-6 method for point-to-area predictions for terrestrial services in the frequency range 30 MHz to 4000 MHz[S]. Geneva: International Telecommunications Union Press, 2019.
10	杨铖, 王健, 由希华, 等. ITU-R P.1546方法在中国陆地典型区域适用性研究[J]. 电波科学学报, 2019, 34 (3): 295- 301.
	YANG C , WANG J , YOU X H , et al. Applicability of ITU-R P.1546 recommendation in typical terrestrial areas of CHINA[J]. Chinese Journal of Radio Science, 2019, 34 (3): 295- 301.
11	TOMAS M , PAVEL P , PAVEL K . Study of the GNSS jamming in real environment[J]. International Journal of Electro-nics and Telecommunications, 2019, 65 (1): 65- 70.
12	陈超.基于光线投射算法的雷达探测范围可视化研究[D].北京:北京理工大学, 2016.
	CHEN C. The visualization of radar detection range base on ray casting algorithm[D]. Beijing: Beijing Institute of Technology, 2016.
13	赵永刚, 邹丽. 雷达探测范围地形可视域分析方法[J]. 测绘地理信息, 2019, 44 (3): 84- 87.
	ZHAO Y G , ZOU L . Research on terrain visibility analysis model of radar detection range[J]. Journal of Geomatics, 2019, 44 (3): 84- 87.
14	杨翔宇.基于WebGL的三维地形可视域分析算法研究[D].武汉:华中师范大学, 2019.
	YANG X Y. Research on 3D terrain viewshed analysis algorithm based on WebGL[D]. Wuhan: Central China Normal University, 2019.
15	KAUCIC B, ZALIK B. An improved algorithm for intervisibility judgment based on RSG[C]//Proc.of the 5th International Conference on Information Science and Control Engineering, 2018: 116-120.
16	FLORIANI L , MAGILLO P . Geospatial analysis of the terrain of kachia LGA, kaduna state, nigeria, for military operations[J]. Current Journal of Applied Science and Technology, 2017, 19 (6): 709- 728.
17	PETER E U , EDAN J D , EMMANUEL F D . Towards combating security challenges in Jimeta Metropolis using viewshed analysis[J]. FUTY Journal of the Environment, 2018, 12 (1): 33- 41.
18	JOB A , PETRI P , JUSTIN M J T . A call for viewshed ecology: advancing our understanding of the ecology of information through viewshed analysis[J]. Methods in Ecology and Evolution, 2018, 9, 624- 633. doi: 10.1111/2041-210X.12902
19	PALIOU E. Visual perception in past built environments: theo-retical and procedural issues in the archaeological application of three-dimensional visibility analysis[M]//Digital Geoarchaeology Natural Science in Archaeology. Switzerland: Springer Cham Press, 2018:65-80.
20	NAZARI M E , GHORBANI A . Predicting a three-dimensional radar coverage area: introducing a new method based on propagation of radio waves[J]. IEEE Antennas and Propagation Magazine, 2016, 58 (1): 28- 34. doi: 10.1109/MAP.2015.2501238
21	WANG J J , ROBINSON G J , WHITE K . Generating viewsheds without using sightlines[J]. Photogrammetric Engineering & Remote Sensing, 2000, 66 (1): 87- 90.
22	吴艳兰. 基于参考面的可视域算法[J]. 测绘信息与工程, 2001, (1): 19- 21, 25.
	WU Y L . An algorithm for computing viewsheds based on refe-rence planes[J]. Journal of Geomatics, 2001, (1): 19- 21, 25.
23	FERREIRA C R , ANDRADE M V A , MAGALHAS S V G , et al. An efficient external memory algorithm for terrain viewshed computation[J]. ACM Trans. on Spatial Algorithms and Systems, 2016, 2 (2): Article 6.
24	FLORIANI L , MAGILLO P . Algorithms for visibility computation on terrains: a survey[J]. Environment and Planning B: Planning and Design, 2003, 30 (5): 709- 728. doi: 10.1068/b12979
25	KAUCIC B, ZALIK B. Comparison of viewshed algorithms on regular spaced points[C]//Proc.of the 18th Spring Conference on Computer Graphics, 2002: 177-183.
26	ZHANG J B, CHEN C K, LIANG T N, et al. A parallel implementation of an XDraw viewshed algorithm with spark[C]//Proc.of the 21st IEEE International Conference on High Performance Computing and Communications, 2019: 19-28.
27	FERREIRA C R , ANDRADE M V A , MAGALHAS S V G . A synthetic visual plane algorithm for visibility computation in consideration of accuracy and efficiency[J]. Computers and Geo-sciences, 2017, 109 (12): 315- 322.
28	康晓伟, 冯钟葵. ASTER GDEM数据介绍与程序读取[J]. 遥感信息, 2011, (6): 69- 72.
	KANG X W , FENG Z K . An introduction to ASTER GDEM and procedure reading[J]. Remote Sensing Information, 2011, (6): 69- 72.
29	ICD-GPS-200. Navstar GPS space segment and navigation user interface[S]. El Segundo, CA: ARINC Research Corporation Press, 2003.

场景编号	接收机抗干扰能力(干信比)/dB	组别序号	GNSS干扰源个数	干扰源位置坐标	干扰源自身高度/m	干扰源频率/Hz	干扰源发射功率/W	发射天线增益/dB	接收信号功率/dBm	接收天线增益/dB
1	30	1	1	29.37°N, 110.44°E	100	1 575.42e6(L1)	10	10	-130	0
2	60	1	1	29.37°N, 110.44°E	100	1 575.42e6(L1)	10	10	-130	0
3	90	1	1	29.37°N, 110.44°E	100	1 575.42e6(L1)	10	10	-130	0
		2	3	29.38°N, 110.47°E	50	1 575.42e6(L1)	700	10	-130	0
				29.39°N, 110.46°E	78	1 575.42e6(L1)	500	10	-130	0
				29.37°N, 110.46°E	150	1 575.42e6(L1)	1 000	10	-130	0

场景编号	组别序号	计算得出待分析区域DEM格网行列值	待分析区域半径/m(分辨率约为30 m)	Matlab耗时			结果差异百分比/%
场景编号	组别序号	计算得出待分析区域DEM格网行列值	待分析区域半径/m(分辨率约为30 m)	传统基于视线的算法/s	本文算法/s	减少百分比/%	传统基于视线的算法	本文算法
1	1	9 687×9 687	145 290	42 829.181	1 124.234	97.38	0	0.94
2	1	1 177×1 177	17 640	471.513	14.590	96.91	0	2.70
3	1	39×39	570	0.296	0.226	20.27	0	7.54
	2	311×311	4 650	46.089	3.468	92.48	0	4.49
		263×263	3 930	46.089	3.468	92.48	0	4.49
		373×373	5 580	46.089	3.468	92.48	0	4.49

[1]	谭思炜, 唐波, 张林森, 张森. 跳频电磁引信干扰感知技术方案研究[J]. 系统工程与电子技术, 2022, 44(11): 3330-3337.
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[4]	赵凯, 魏光辉. 高阶非线性失真双频阻塞干扰规律[J]. 系统工程与电子技术, 2022, 44(1): 47-53.
[5]	陈小舟, 邢庆君, 张立东. 对机载预警雷达STAP的慢时调频干扰方法[J]. 系统工程与电子技术, 2021, 43(11): 3177-3184.
[6]	赵凯, 魏光辉, 潘晓东, 杜雪, 任仕召. 单频电磁辐射对雷达的干扰规律[J]. 系统工程与电子技术, 2021, 43(2): 363-368.
[7]	赵燕慧, 汤建龙, 李骥阳, 毕鲁浩. 对降维STAP机载雷达的延时混叠转发干扰方法分析[J]. 系统工程与电子技术, 2020, 42(8): 1718-1725.
[8]	包磊, 王春阳, 白娟, 曾会勇. 双隐身飞机闪烁干扰对单脉冲雷达性能的影响[J]. 系统工程与电子技术, 2020, 42(3): 589-596.
[9]	陈卓, 贾维敏, 金伟, 张峰干. 一种稳健的多主瓣干扰抑制方法[J]. 系统工程与电子技术, 2020, 42(3): 544-549.
[10]	范宇清, 程二威, 魏明, 张庆龙, 陈亚洲. 高功率微波弹对GNSS接收机毁伤效果分析[J]. 系统工程与电子技术, 2020, 42(1): 37-44.
[11]	王玉军, 赵国庆, 胡曦明. 基于延迟不变的LFM雷达移频干扰方法[J]. Journal of Systems Engineering and Electronics, 2009, 31(8): 1861-1863.
[12]	冯祥芝, 许小剑. 随机线性调频斜率SAR抗欺骗干扰方法研究[J]. Journal of Systems Engineering and Electronics, 2009, 31(01): 69-73.
[13]	冯祥芝, 许小剑. 随机线性调频斜率SAR抗欺骗干扰方法研究[J]. Journal of Systems Engineering and Electronics, 2009, 31(1): 69-73.