无线电导航系统高安全性测距码设计方法

doi:10.12305/j.issn.1001-506X.2026.04.30

系统工程与电子技术 ›› 2026, Vol. 48 ›› Issue (4): 1413-1421.doi: 10.12305/j.issn.1001-506X.2026.04.30

• 通信与网络 • 上一篇

无线电导航系统高安全性测距码设计方法

杜尚真(), 贺成艳, 张兆林, 孙延栋, 王伶

西北工业大学电子信息学院，陕西西安 710129

收稿日期:2024-12-24 修回日期:2025-02-18 出版日期:2025-05-23 发布日期:2025-05-23
通讯作者: 贺成艳 E-mail:dushangzhen@mail.nwpu.edu.cn
作者简介:杜尚真（1999—），男，硕士研究生，主要研究方向为卫星导航定位技术
张兆林（1978—），男，副教授，博士，主要研究方向为通信抗干扰技术、阵列信号处理、多媒体通信
孙延栋（1993—），男，副研究员，博士，主要研究方向为卫星导航抗干扰、阵列信号处理、阵列重构优化
王　伶（1978—），男，教授，博士，主要研究方向为卫星导航与通信、移动通信、先进探测技术
基金资助:
国家自然科学基金（12273046，62271412）资助课题

Design methodology of high-security ranging codes for radio navigation systems

Shangzhen DU(), Chengyan HE, Zhaolin ZHANG, Yandong SUN, Ling WANG

School of Electronics and Information Engineering，Northwestern Polytechnical University，Xi’an 710129，China

Received:2024-12-24 Revised:2025-02-18 Online:2025-05-23 Published:2025-05-23
Contact: Chengyan HE E-mail:dushangzhen@mail.nwpu.edu.cn

摘要/Abstract

摘要：

测距码在基于码分多址的无线电导航系统中占据着重要地位，现有传统方法产生的测距码序列尚未能有效满足无线电导航系统在测距码安全性方面的需求。为进一步提升无线电导航系统的安全性能，提出了一种基于时间跳变的新型Weil码序列作为无线电导航系统测距码的设计方案。在传统Weil码的基础上通过随机图案确认换码时刻的码序列参数以生成新的Weil码序列，而后通过换码的时刻信息确认截断码片的起始点参数并对码序列进行拼接操作。仿真实验结果表明，相较于传统测距码，提出的基于时间跳变的Weil测距码序列在不降低相关性、具有更优误码率性能的同时有效提高了无线电导航系统的安全性能，满足无线电导航系统对于测距码的各项性能要求。

关键词: 无线电导航系统, Weil码, 安全性, 相关性, 误码率

Abstract:

Ranging code occupies an important position in the radio navigation system based on code division multiple access, and the existing ranging code sequences generated by the traditional method cannot effectively meet the needs of radio navigation system on the security of ranging code. In order to further improve the safety performance of radio navigation system, a type of Weil code sequence based on time-hopping as the design scheme of ranging code for radio navigation system is proposed. On the basis of the traditional Weil code, a new Weil code sequence is generated by confirming the parameters of the code sequence at the time of code change through the random mode, and then the starting parameters of the truncated code piece are confirmed through the information of the time of code change to perform the splicing operation on the code sequence. The simulation results show that compared with the traditional ranging code, the proposed time-hopping Weil ranging code sequence effectively improves the safety performance of radio navigation system without reducing the correlation and has better bit error rate performance, and meets the performance requirements of radio navigation system on ranging code.

Key words: radio navigation system, Weil code, security, correlation, bit error rate

中图分类号:

TN 966.4

杜尚真, 贺成艳, 张兆林, 孙延栋, 王伶. 无线电导航系统高安全性测距码设计方法[J]. 系统工程与电子技术, 2026, 48(4): 1413-1421.

Shangzhen DU, Chengyan HE, Zhaolin ZHANG, Yandong SUN, Ling WANG. Design methodology of high-security ranging codes for radio navigation systems[J]. Systems Engineering and Electronics, 2026, 48(4): 1413-1421.

图/表 11

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参考文献 37

1	DHARMAPPA D, GUPTA A, SINGH F B, et al. New LFSR based methodology to generate PRN codes with lengths suitable for GNSS having low correlation[C]//Proc. of the 4th International Conference on Emerging Research in Electronics, Computer Science and Technology, 2022.
2	JAFARNIA-JAHROMI A, DANESHMAND S, LACHAPELLE G. Spoofing countermeasure for GNSS receivers–a review of current and future research trends[J]. Proc. of the 4th Internnational Colloquim on Scientific and Fundamental Aspects of the Galileo Programme, 2013.
3	XIAO L, MA P C, TANG X M, et al. GNSS receiver anti-spoofing techniques: a review and future prospects[C]//Proc. of the 5th International Conference on Electronics, Communications and Networks, 2016: 59−68.
4	焦文海, 丁群, 李建文, 等. GNSS开放服务的监测评估[J]. 中国科学: 物理学力学天文学, 2011, 41(5): 521−527.
	JIAO W H, DING Q, LI J W, et al. Monitoring and assessment of GNSS open services[J]. SCIENCE CHINA Physics, Mechanics & Astronomy, 2011, 41(5): 521−527.
5	NIELSEN J, BROUMANDAN A, LACHAPELLE G. Spoofing detection and mitigation with a moving handheld receiver[J]. GPS World, 2010, 21 (9): 27- 33.
6	肖岭, 唐小妹, 李柏渝, 等. GNSS双接收机抗欺骗技术[J]. 国防科技大学学报, 2016, 38 (3): 45- 49.
	XIAO L, TANG X M, LI B Y, et al. GNSS anti-spoofing technique based on dual-receiver[J]. Journal of National University of Defense Technology, 2016, 38 (3): 45- 49.
7	徐肖豪, 杨传森, 刘瑞华. GNSS用户端自主完好性监测研究综述[J]. 航空学报, 2013, 34 (3): 451- 463.
	XU X H, YANG C S, LIU R H. Review and prospect of GNSS receiver autonomous integrity monitoring[J]. Chinese Journal of Aeronautics, 2013, 34 (3): 451- 463.
8	郭睿, 唐波, 刘利, 等. 伪卫星增强下的北斗系统服务精度仿真分析[J]. 测绘通报, 2014 (10): 7- 10，32.
	GUO R, TANG B, LIU L, et al. Simulation analysis of BeiDou service performance with pseudolite augment[J]. Bulletin of Surveying and Mapping, 2014 (10): 7- 10，32.
9	张锐斌, 贾小林, 刘家龙. GNSS星基增强基本性能评估[J]. 测绘科学, 2022, 47(3): 1−8, 15.
	ZHANG R B, JIA X L, LIU J L. Basic performance evaluation of GNSS satellite-based augmentation system[J]. Science of Surveying and Mapping, 2022, 47(3): 1−8, 15.
10	WANG J L. Pseudolite applications in positioning and navigation: progress and problems[J]. Journal of Global Positioning Systems, 2002, 1(1): 48−56.
11	赵鑫冉. 高精度地基伪卫星导航定位技术研究[D]. 成都: 电子科技大学, 2022.
	ZHAO X R. Study on the technique of high-precision ground-based pseudolite navigation and positioning[D]. Chengdu: University of Electronic Science and Technology of China, 2022.
12	刘峻宁, 翟传润, 宋嫡儿, 等. 基于改进时星差分的室内伪卫星精密单点定位研究[J]. 武汉大学学报（信息科学版）, 2009, 34 (1): 105- 108.
	LIU J N, ZHAI C R, SONG D E, et al. Indoor pseudolites precise point positioning based on improved time-satellites difference[J]. Geomatics and Information Science of Wuhan University, 2009, 34 (1): 105- 108.
13	唐文杰, 陈俊平. 伪卫星系统关键技术发展及其应用[J]. 世界科技研究与发展, 2023, 45 (3): 276- 284.
	TANG W J, CHEN J P. Key technology development and application of pseudolite system[J]. World Sci-Tech R& D, 2023, 45 (3): 276- 284.
14	PSIAKI M L, HUMPHREYS T E. GNSS spoofing and detection[J]. Proceedings of the IEEE, 2016, 104 (6): 1258- 1270. doi: 10.1109/JPROC.2016.2526658
15	BROUMANDAN A, SIDDAKATTE R, LACHAPELLE G. An approach to detect GNSS spoofing[J]. IEEE Aerospace and Electronic Systems Magazine, 2017, 32 (8): 64- 75. doi: 10.1109/MAES.2017.160190
16	SWASZEK P F, HARTNETT R J, SEALS K C. GNSS spoof detection using independent range information[C]//Proc. of the International Technical Meeting of the Institute of Navigation, 2016: 739−747.
17	JAFARNIA-JAHROMI A, BROUMANDAN A, NIELSEN J, et al. GPS vulnerability to spoofing threats and a review of antispoofing techniques[J]. International Journal of Navigation and Observation, 2012, 2012, 127072.
18	DEHGHANIAN V, NIELSEN J, LACHAPELLE G. GNSS spoofing detection based on receiver C/N₀ estimates[C]//Proc. of the 25th International Technical Meeting of the Satellite Division of the Institute of Navigation , 2012: 2878−2884.
19	耿正霖, 李峥嵘, 聂俊伟, 等. GNSS阵列接收机信号解扩前的欺骗干扰检测算法[J]. 国防科技大学学报, 2018, 40 (2): 91- 96.
	GENG Z L, LI Z R, NIE J W, et al. Spoofing detection technique before despreading for GNSS antenna-array receivers[J]. Journal of National University of Defense Technology, 2018, 40 (2): 91- 96.
20	MONTGOMERY P Y, HUMPHREYS T E, LEDVINA B M. Receiver-autonomous spoofing detection: experimental results of a multi-antenna receiver defense against a portable civil GPS spoofer[C]//Proc. of the International Technical Meeting of the Institute of Navigation, 2009: 124−130.
21	BROUMANDAN A, JAFARNIA-JAHROMI A, DEHGHANIAN V, et al. GNSS spoofing detection in handheld receivers based on signal spatial correlation[C]//Proc. of the IEEE/ION Position, Location and Navigation Symposium, 2012: 479−487.
22	LEDVINA B M, BENCZE W J, GALUSHA B, et al. An in-line anti-spoofing device for legacy civil GPS receivers[C]//Proc. of the International Technical Meeting of the Institute of Navigation, 2010: 698−712.
23	WESSON K D, ROTHLISBERGER M P, HUMPHREYS T E. A proposed navigation message authentication implementation for civil GPS anti-spoofing[C]//Proc. of the 24th International Technical Meeting of the Satellite Division of the Institute of Navigation , 2011: 3129−3140.
24	WESSON K, ROTHLISBERGER M, HUMPHREYS T. Practical cryptographic civil GPS signal authentication[J]. NAVIGATION: Journal of the Institute of Navigation, 2012, 59 (3): 177- 193. doi: 10.1002/navi.14
25	KERNS A J, WESSON K D, HUMPHREYS T E. A blueprint for civil GPS navigation message authentication[C]//Proc. of the IEEE/ION Position, Location and Navigation Symposium , 2014: 262−269.
26	姜弢, 刘庆普, 岳欣. 采用伪随机码扩频信号的陆基无线电导航系统[J]. 哈尔滨工程大学学报, 2002 (6): 70- 72，88. doi: 10.3969/j.issn.1006-7043.2002.06.018
	JIANG T, LIU Q P, YUE X. Onshore radio navigation system adopting pseudo random noise spread-spectrum signal[J]. Journal of Harbin Engineering University, 2002 (6): 70- 72，88. doi: 10.3969/j.issn.1006-7043.2002.06.018
27	宋建材, 赵小明, 杨兴文. 陆基无线扩频定位系统中伪随机码设计[J]. 中国惯性技术学报, 2005 (3): 39- 42. doi: 10.3969/j.issn.1005-6734.2005.03.010
	SONG J C, ZHAO X M, YANG X W. Design of PN code in wireless spread spectrum positioning system[J]. Journal of Chinese Inertial Technology, 2005 (3): 39- 42. doi: 10.3969/j.issn.1005-6734.2005.03.010
28	DU J, GUO J, LU X C, et al. The optimum selection method and performance analysis for Weil code of satellite navigation system[C]// Proc. of the IEEE International Frequency Control Symposium, 2014.
29	王轲, 张健铤, 商晓燕, 等. GPS现代化L1C民用信号体制分析[J]. 通信与信息技术, 2024 (4): 97- 101.
	WANG K, ZHANG J T, SHANG X Y, et al. Analysis of GPS modernization L1C civil signal regime[J]. Communication & Information Technology, 2024 (4): 97- 101.
30	叶旅洋. 北斗三号B1C信号模拟产生与性能分析[D]. 北京: 中国科学院大学, 2019.
	YE L Y. Simulation generate and performance analyse on BDS-3 B1C signal[D]. Beijing: University of Chinese Academy of Sciences, 2019.
31	LIU J W, HE C Y, ZHANG Z L, et al. Ground-based radio navigation base station deployment method based on improved multi-objective particle swarm optimization[C]//Proc. of the IEEE 7th International Conference on Electronic Information and Communication Technology, 2024: 1153–1156.
32	王乾, 王聪. 基于确定学习理论和Lempel-Ziv复杂度的非线性系统动态特征提取[J]. 自动化学报, 2018, 44 (10): 1812- 1823.
	WANG Q, WANG C. Dynamic feature extraction of nonlinear systems with deterministic learning theory and spatio-temporal Lempel-Ziv complexity[J]. Acta Automatica Sinica, 2018, 44 (10): 1812- 1823.
33	BAI Y, LIANG Z H, LI X L. A permutation Lempel-Ziv complexity measure for EEG analysis[J]. Biomedical Signal Processing and Control, 2015, 19, 102- 114. doi: 10.1016/j.bspc.2015.04.002
34	何成龙, 王垚. GPS L1C信号Weil码相关性能分析[J]. 无线电通信技术, 2013, 39 (1): 32- 35.
	HE C L, WANG Y. Weil code correlation performance of GPS L1C signal[J]. Radio Communications Technology, 2013, 39 (1): 32- 35.
35	邓中亮, 马宏涛, 李长明. GNSS新信号体制下Weil码组特性分析与优化实现[C]//第五届中国卫星导航学术年会, 2014: 57−61.
	DENG Z L, MA H T, LI C M. Research on characteristic analysis and optimization of Weil code in new GNSS signals[C]// Proc. of the China Satellite Navigation Conference , 2014: 57−61.
36	张瀚青, 何在民, 叶旅洋, 等. 北斗三号等长Weil码和Gold码性能分析与比较[J]. 计算机仿真, 2019, 36 (8): 71- 76.
	ZHANG H Q, HE Z M, YE L Y, et al. The analysis and comparison of the performance of the equi-length Weil and Gold codes[J]. Computer Simulation, 2019, 36 (8): 71- 76.
37	AMMANA S R, SONGALA K K, BOLLAVULA D. Performance evaluation of Weil codes and Gold codes for application in future navigation signals[C]//Proc. of the IEEE 2nd Mysore Sub Section International Conference , 2022.

PRN	w	p	头24个码片（八进制）	末尾24个码片（八进制）
1	2671	691	05022210	24537642
2	3847	711	05502063	76611634
3	4802	9979	56654232	70414644
4	4330	10158	46215330	33611323
5	4145	5760	52744646	21605066
6	889	6821	74243007	10223727
7	3201	697	52225774	73004554
8	2544	1626	45137341	76410511
9	4572	709	51601033	30746504
10	3642	6342	47606167	65641033
11	1840	6860	22401272	61656370
12	189	2668	42003255	37777054
13	278	7705	46765776	23416134
14	3690	824	52726143	60614647
15	3344	447	56571524	04422702

码型	最大旁瓣能量	均值	标准差
Gold码序列	26.9802~30.2313	28.8002	0.6371
传统Weil码序列	29.9598~32.2387	31.4508	0.4531
基于时间跳变Weil码序列	29.1441~31.6025	30.5629	0.4860

码型	0 dB	10 dB	20 dB
Gold码序列	0.1617	0.0056	5.74×10⁻⁴
传统Weil码序列	0.1626	0.0050	6.517×10⁻⁵
基于时间跳变的Weil码序列	0.1612	0.0028	3.91×10⁻⁵

码型	0 dB	10 dB	20 dB
Gold码序列	0.921	0.598	0.523
传统Weil码序列	0.869	0.603	0.536
基于时间跳变的Weil码序列	0.879	0.601	0.517

码型	安全性能（LZ复杂度均值）
Gold码序列	1.0287
传统Weil码序列	1.0218
基于时间跳变Weil码序列	2.4449

无线电导航系统高安全性测距码设计方法

Design methodology of high-security ranging codes for radio navigation systems

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