1.杭州电子科技大学通信工程学院,浙江杭州 310018
2.北京信息科技大学自动化学院,北京 100192
3.北京邮电大学信息与通信工程学院,北京 100876
4.北京中天飞创电子技术有限公司,北京 100080
吴超 男,1988年7月出生于河北省邢台市。现为杭州电子科技大学通信工程学院副教授、硕士生导师。主要研究方向为导航信号处理及欺骗干扰检测。中国电子学会会员编号:E190183970M。E-mail: wuchaoid@126.con
李力 男,2002年2月出生于广西壮族自治区岑溪市。现为杭州电子科技大学硕士研究生。主要研究方向为导航信号处理。E-mail: 242080141@hdu.edu.cn
李亚峰 男,1985年8月出生于山西省忻州市。现为北京信息科技大学自动化学院副教授、硕士生导师。主要研究方向为无线电/GNSS/惯性导航、多源组合导航及人工智能技术在导航领域的应用基础研究。E-mail: lyf8118@126.com
江城 男,1982年4月出生于江西省赣州市。现为北京邮电大学研究员,杭州电子科技大学兼职教授。主要研究方向为通信导航一体化。E-mail: jiangcheng@bupt.edu.cn
曹延 男,1982年10月出生于河北省石家庄市。现为北京中天飞创电子技术有限公司总工程师。主要研究方向为信号侦查、电子对抗产品研发。E-mail: 18603118997@163.com
胡淼 男,1982年出生于浙江省温州市。现为杭州电子科技大学通信工程学院副院长。主要研究方向为卫星通信、遥感、光子信息等。中国电子学会会员编号:E190159037M。E-mail: miao_hu@hdu.edu.cn
赵宜楠 男,1977年出生于黑龙江省哈尔滨市。现为杭州电子科技大学教授、博士生导师。主要研究方向为无人系统的定位与感知技术、新体制雷达、智能信号处理等。E-mail: zhaoyinan@hdu.edu.cn
收稿:2025-09-12,
录用:2026-04-01,
网络首发:2026-05-22,
纸质出版:2026-04-25
移动端阅览
吴超, 李力, 李亚峰, 等. 基于相关-聚类的星链信号解调方法[J]. 电子学报, 2026, 54(04): 1857-1871.
WU Chao, LI Li, LI Yafeng, et al. Demodulation Method for Starlink Signals Based on Correlation and Clustering[J]. Acta Electronica Sinica, 2026, 54(04): 1857-1871.
吴超, 李力, 李亚峰, 等. 基于相关-聚类的星链信号解调方法[J]. 电子学报, 2026, 54(04): 1857-1871. DOI:10.12263/DZXB.20250796
WU Chao, LI Li, LI Yafeng, et al. Demodulation Method for Starlink Signals Based on Correlation and Clustering[J]. Acta Electronica Sinica, 2026, 54(04): 1857-1871. DOI:10.12263/DZXB.20250796
随着巨型低轨卫星(Low Earth Orbit,LEO)星座的迅速发展,大量星基机会信号为全球导航卫星系统(Global Navigation Satellite System,GNSS)拒止条件下的辅助与替代性导航需求提供了潜在解决方案。以星链信号为例,对其进行时频估计并完成有效解调,是实现辅助导航的必要前提。然而,星链卫星的高速运动引起显著的多普勒效应,为信号时频估计精度与可靠解调带来技术挑战。针对现有的时频估计算法在低信噪比(Signal-to-Noise Ratio,SNR)条件下鲁棒性不足,传统算法在高动态环境下难以实现稳定解调的问题,本文提出了一种基于相关-聚类的星链信号解调方法,并在仿真与实测数据上进行实验验证。利用星链下行信号特殊的同步序列结构,设计相关性增强的延迟自相关定时算法与改进的符号内相位差频偏估计算法,实现同步序列定时与多普勒系数的粗估计。提出基于K-means聚类的逐符号时频精估计方法,在无数据符号先验的条件下提取星座聚类统计量,并以经验信噪比(Empirical Signal-to-Noise Ratio,ESNR)最大化为准则完成残余时频误差精估计。构建仿真场景,分析所提方法的收敛性与估计精度,并基于实测星链下行信号,以解调误比特率(Bit Error Rate,BER)为指标评估所提算法的性能。实验结果表明,所提方法在高动态条件下具有良好的收敛性与估计精度,且在7.3 dB SNR实测数据下,解调BER为0.88%,相较对比算法降低55.10%,在高动态环境下显著提升了时频估计与解调的精度,为星链机会信号导航提供了技术支撑。
With the rapid development of mega low earth orbit (LEO) satellite constellations
an abundance of signals of opportunity have emerged as potential solutions for assisting global navigation satellite system (GNSS) navigation in GNSS-denied environments. Taking Starlink signals as a representative example
accurate time-frequency estimation and reliable demodulation are essential prerequisites for navigation applications. However
the high dynamics of LEO satellites introduce severe Doppler effects
which challenge the accuracy and robustness of time-frequency estimation and the reliability of demodulation. To address the lack of robustness of existing time-frequency estimation algorithms under low signal-to-noise ratio (SNR) conditions and the instability of traditional methods in high-dynamic environments
this paper proposes a demodulation method for Starlink signals based on correlation and clustering
and validates it through both simulation analysis and real captured downlink signals. By exploiting the unique synchronization sequence structure of Starlink signals
a delayed autocorrelation method with enhanced correlation structure and an improved intra-symbol phase difference algorithm are designed to achieve synchronization sequence detection and coarse Doppler estimation. A symbol-by-symbol fine time-frequency estimation method based on K-means clustering is proposed. Under a non-data-aided condition
constellation clustering statistics are extracted
and the residual time-frequency errors are estimated by maximizing the empirical signal-to-noise ratio (ESNR). Simulation scenarios are constructed to analyze the convergence behavior and estimation accuracy of the proposed method. Furthermore
real captured Starlink downlink signals are employed to evaluate the algorithm performance in terms of bit error rate (BER). Experimental results demonstrate robust convergence and improved estimation accuracy under high-dynamic conditions. For real captured downlink data at 7.3 dB SNR
the proposed method reduces BER by 55.10% compared with baseline methods
enabling more reliable demodulation and supporting Starlink-based assisted navigation.
Prol F S , Ferre R M , Saleem Z , et al . Position, navigation, and timing (PNT) through low Earth orbit (LEO) satellites: A survey on current status, challenges, and opportunities [J ] . IEEE Access , 2022 , 10 : 83971 - 84002 . DOI: 10.1109/ACCESS.2022.3194050 http://dx.doi.org/10.1109/ACCESS.2022.3194050 .
Kassas Z M , Neinavaie M , Khalife J , et al . ENTER LEO on the GNSS stage: Navigation with Starlink satellites [J ] . Inside GNSS , 2021 , 16 ( 6 ): 42 - 51 .
刘涵 , 方胜良 , 范有臣 , 等 . 机会信号导航综述 [J ] . 兵器装备工程学报 , 2022 , 43 ( 7 ): 78 - 86, 158 . DOI: 10.11809/bqzbgcxb2022.07.012 http://dx.doi.org/10.11809/bqzbgcxb2022.07.012 .
Liu Han , Fang Shengliang , Fan Youchen , et al . Review of navigation via signals of opportunity [J ] . Journal of Ordnance Equipment Engineering , 2022 , 43 ( 7 ): 78 - 86, 158 . DOI: 10.11809/bqzbgcxb2022.07.012. http://dx.doi.org/10.11809/bqzbgcxb2022.07.012. (in Chinese)
Kozhaya S E , Kassas Z M . Positioning with Starlink LEO satellites: A blind Doppler spectral approach [C ] // 2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring) . Piscataway : IEEE , 2023 : 1 - 5 . DOI: 10.1109/VTC2023-Spring57618.2023.10199264 http://dx.doi.org/10.1109/VTC2023-Spring57618.2023.10199264 .
Neinavaie M , Kassas Z M . Signal mode transition detection in Starlink LEO satellite downlink signals [C ] // 2023 IEEE/ION Position, Location and Navigation Symposium (PLANS) . Piscataway : IEEE , 2023 : 360 - 364 . DOI: 10.1109/PLANS53410.2023.10139993 http://dx.doi.org/10.1109/PLANS53410.2023.10139993 .
刘翔宇 , 李东博 , 刘劼 . 低轨卫星定位: 探索与展望 [J ] . 物联网学报 , 2025 , 9 ( 3 ): 17 - 27 . DOI: 10.11959/j.issn.2096-3750.2025.00434 http://dx.doi.org/10.11959/j.issn.2096-3750.2025.00434
Liu Xiangyu , Li Dongbo , Liu Jie . Low earth orbit satellite positioning: Exploration and prospects [J ] . Chinese Journal on Internet of Things , 2025 , 9 ( 3 ): 17 - 27 . (in Chinese) . DOI: 10.11959/j.issn.2096-3750.2025.00434 http://dx.doi.org/10.11959/j.issn.2096-3750.2025.00434
秦红磊 , 姜穆元 . 基于非合作LEO卫星辅助GNSS联合定位技术 [J ] . 导航定位与授时 , 2022 , 9 ( 1 ): 35 - 40 . DOI: 10.19306/j.cnki.2095-8110.2022.01.004 http://dx.doi.org/10.19306/j.cnki.2095-8110.2022.01.004 .
Qin Honglei , Jiang Muyuan . Non-cooperative LEO satellite assisted GNSS joint positioning technology [J ] . Navigation Positioning and Timing , 2022 , 9 ( 1 ): 35 - 40 . DOI: 10.19306/j.cnki.2095-8110.2022.01.004. http://dx.doi.org/10.19306/j.cnki.2095-8110.2022.01.004. (in Chinese)
秦红磊 , 谭滋中 , 丛丽 , 等 . 基于铱星机会信号的定位技术 [J ] . 北京航空航天大学学报 , 2019 , 45 ( 9 ): 1691 - 1699 . DOI: 10.13700/j.bh.1001-5965.2018.0717 http://dx.doi.org/10.13700/j.bh.1001-5965.2018.0717 .
Qin Honglei , Tan Zizhong , Cong Li , et al . Positioning technology based on IRIDIUM signals of opportunity [J ] . Journal of Beijing University of Aeronautics and Astronautics , 2019 , 45 ( 9 ): 1691 - 1699 . DOI: 10.13700/j.bh.1001-5965.2018.0717. http://dx.doi.org/10.13700/j.bh.1001-5965.2018.0717. (in Chinese)
Qin Wenkai , Graff A M , Clements Z L , et al . Timing properties of the Starlink Ku-band downlink [J ] . IEEE Transactions on Aerospace and Electronic Systems , 2025 , 62 : 727 - 744 . DOI: 10.1109/TAES.2025.3627180 http://dx.doi.org/10.1109/TAES.2025.3627180
Sabeti P , Farhang A , Marchetti N , et al . Frequency synchronization for OFDM-based massive MIMO systems [J ] . IEEE Transactions on Signal Processing , 2019 , 67 ( 11 ): 2973 - 2986 . DOI: 10.1109/TSP.2019.2911249 http://dx.doi.org/10.1109/TSP.2019.2911249 .
李文吉 , 周业军 , 郑重 , 等 . 适用于高动态环境下的卫星通信高精度同步方法 [C ] // 第十九届卫星通信学术年会论文集 . 北京 : 中国通信学会卫星通信委员会, 中国宇航学会卫星应用专业委员会 , 2023 : 173 - 178 . DOI: 10.26914/c.cnkihy.2023.034443 http://dx.doi.org/10.26914/c.cnkihy.2023.034443 .
Li Wenji , Zhou Yejun , Zheng Zhong , et al . A high accuracy synchronization method for satellite communications in high dynamic environments [C ] // Proceedings of the 19th Annual Conference on Satellite Communications . Beijing : China Academy of Space Technology , 2023 : 173 - 178 . DOI: 10.26914/c.cnkihy.2023.034443. http://dx.doi.org/10.26914/c.cnkihy.2023.034443. (in Chinese)
Khalife J , Neinavaie M , Kassas Z M . Blind Doppler tracking from OFDM signals transmitted by broadband LEO satellites [C ] // 2021 IEEE 93rd Vehicular Technology Conference (VTC2021-Spring) . Piscataway : IEEE , 2021 : 1 - 5 . DOI: 10.1109/VTC2021-Spring51267.2021.9448678 http://dx.doi.org/10.1109/VTC2021-Spring51267.2021.9448678 .
Neinavaie M , Khalife J , Kassas Z M . Acquisition, Doppler tracking, and positioning with Starlink LEO satellites: First results [J ] . IEEE Transactions on Aerospace and Electronic Systems , 2022 , 58 ( 3 ): 2606 - 2610 . DOI: 10.1109/TAES.2021.3127488 http://dx.doi.org/10.1109/TAES.2021.3127488 .
Neinavaie M , Kassas Z M . Unveiling Starlink LEO satellite OFDM-like signal structure enabling precise positioning [J ] . IEEE Transactions on Aerospace and Electronic Systems , 2024 , 60 ( 2 ): 2486 - 2489 . DOI: 10.1109/TAES.2023.3265951 http://dx.doi.org/10.1109/TAES.2023.3265951 .
李喆 , 林威洪 , 邓伟 , 等 . Starlink下行信号的多普勒效应影响分析 [J ] . 通信学报 , 2024 , 45 ( 3 ): 131 - 141 . DOI: 10.11959/j.issn.1000-436x.2024029 http://dx.doi.org/10.11959/j.issn.1000-436x.2024029 .
Li Zhe , Lin Weihong , Deng Wei , et al . Analysis of the influence of Doppler effect on Starlink downlink signals [J ] . Journal on Communications , 2024 , 45 ( 3 ): 131 - 141 . DOI: 10.11959/j.issn.1000-436x.2024029. http://dx.doi.org/10.11959/j.issn.1000-436x.2024029. (in Chinese)
张坦 , 王峰 , 谭传瑞 , 等 . 星链卫星信号特性及其目标探测能力分析 [C ] // 第十八届全国信号和智能信息处理与应用学术会议论文集 . 北京 : 中国高科技产业化研究会智能信息处理产业化分会 , 2024 : 297 - 304 . DOI: 10.26914/c.cnkihy.2024.050393 http://dx.doi.org/10.26914/c.cnkihy.2024.050393 .
Zhang Tan , Wang Feng , Tan Chuanrui , et al . Analysis of signal characteristics and target detection capability of Starlink satellite [C ] // Proceedings of the 18th National Conference on Signal and Intelligent Information Processing and Applications . Beijing : China High-Tech Industrialization Association , 2024 : 297 - 304 . DOI: 10.26914/c.cnkihy.2024.050393. http://dx.doi.org/10.26914/c.cnkihy.2024.050393. (in Chinese)
秦红磊 , 张宇 . 星链机会信号定位方法 [J ] . 导航定位学报 , 2023 , 11 ( 1 ): 67 - 73 . DOI: 10.3969/j.issn.2095-4999.2023.01.010 http://dx.doi.org/10.3969/j.issn.2095-4999.2023.01.010 .
Qin Honglei , Zhang Yu . Positioning technology based on Starlink signal of opportunity [J ] . Journal of Navigation and Positioning , 2023 , 11 ( 1 ): 67 - 73 . DOI: 10.3969/j.issn.2095-4999.2023.01.010. http://dx.doi.org/10.3969/j.issn.2095-4999.2023.01.010. (in Chinese)
袁祎平 , 易建新 , 万显荣 , 等 . 基于星链信标信号的多普勒定位方法与实验 [J ] . 系统工程与电子技术 , 2024 , 46 ( 8 ): 2535 - 2545 . DOI: 10.12305/j.issn.1001506X.2024.08.01 http://dx.doi.org/10.12305/j.issn.1001506X.2024.08.01
Yuan Yiping , Yi Jianxin , Wan Xianrong , et al . Doppler positioning method and experiment based on Starlink beacon signal [J ] . Systems Engineering and Electronics , 2024 , 46 ( 8 ): 2535 - 2545 . (in Chinese) . DOI: 10.12305/j.issn.1001506X.2024.08.01 http://dx.doi.org/10.12305/j.issn.1001506X.2024.08.01
Humphreys T E , Iannucci P A , Komodromos Z M , et al . Signal structure of the Starlink Ku-band downlink [J ] . IEEE Transactions on Aerospace and Electronic Systems , 2023 , 59 ( 5 ): 6016 - 6030 . DOI: 10.1109/TAES.2023.3268610 http://dx.doi.org/10.1109/TAES.2023.3268610 .
Stock W , Hofmann C A , Knopp A . LEO-PNT with Starlink: Development of a burst detection algorithm based on signal measurements [C ] // Proceedings of the WSA & SCC 2023 ; 26th International ITG Workshop on Smart Antennas and 13th Conference on Systems, Communications, and Coding . Piscataway : IEEE , 2023 : 1 - 6 . DOI: 10.1109/wisee61249.2024.10850255 http://dx.doi.org/10.1109/wisee61249.2024.10850255
Schmidl T M , Cox D C . Robust frequency and timing synchronization for OFDM [J ] . IEEE Transactions on Communications , 1997 , 45 ( 12 ): 1613 - 1621 . DOI: 10.1109/26.650240 http://dx.doi.org/10.1109/26.650240 .
Minn H , Zeng M , Bhargava V K . On timing offset estimation for OFDM systems [J ] . IEEE Communications Letters , 2000 , 4 ( 7 ): 242 - 244 . DOI: 10.1109/4234.852929 http://dx.doi.org/10.1109/4234.852929 .
刘晓冬 , 陈卫东 . 一种宽范围高精度的载波频偏估计算法 [J ] . 无线电工程 , 2014 , 44 ( 3 ): 43 - 45 . DOI: 10.3969/j.issn.1003-3106.2014.03.013 http://dx.doi.org/10.3969/j.issn.1003-3106.2014.03.013
Liu Xiaodong , Chen Weidong . Carrier frequency offset estimation algorithm with extended range and high accuracy [J ] . Radio Engineering , 2014 , 44 ( 3 ): 43 - 45 . (in Chinese) . DOI: 10.3969/j.issn.1003-3106.2014.03.013 http://dx.doi.org/10.3969/j.issn.1003-3106.2014.03.013
陈昊 , 赵斐 , 童业平 . 高动态飞行器平台终端通信中的频率精确估计技术研究 [J ] . 电子学报 , 2021 , 49 ( 1 ): 23 - 28 . DOI: 10.12263/DZXB.20200064 http://dx.doi.org/10.12263/DZXB.20200064
Chen Hao , Zhao Fei , Tong Yeping . Research on frequency accurate estimation technology in terminal communication of high dynamic aircraft platform [J ] . Acta Electronica Sinica , 2021 , 49 ( 1 ): 23 - 28 . (in Chinese) . DOI: 10.12263/DZXB.20200064 http://dx.doi.org/10.12263/DZXB.20200064
Meshram A K , Kumar S , Querol J , et al . Reduced complexity initial synchronization for 5G NR multibeam LEO-based non-terrestrial networks [J ] . IEEE Open Journal of the Communications Society , 2025 , 6 : 1528 - 1551 . DOI: 10.1109/ojcoms.2025.3543625 http://dx.doi.org/10.1109/ojcoms.2025.3543625
Wang Tao , Kong Dejin , Jiang Hao , et al . A frequency-domain estimation scheme for frequency offset with large range in OFDM systems [J ] . Electronics , 2025 , 14 ( 5 ): 859 . DOI: 10.3390/electronics14050859 http://dx.doi.org/10.3390/electronics14050859
Abboud M K , Sabbar B M . Performance evaluation of high mobility OFDM channel estimation techniques [J ] . International Journal of Electrical and Computer Engineering , 2020 , 10 ( 3 ): 2562 - 2568 . DOI: 10.11591/ijece.v10i3.pp2562-2568 http://dx.doi.org/10.11591/ijece.v10i3.pp2562-2568
贾科军 , 连江龙 , 张常瑞 , 等 . 基于改进K-means算法的室内可见光通信O-OFDM系统信道均衡技术 [J ] . 电讯技术 , 2025 , 65 ( 1 ): 96 - 102 . DOI: 10.20079/j.issn.1001-893x.231031003 http://dx.doi.org/10.20079/j.issn.1001-893x.231031003 .
Jia Kejun , Lian Jianglong , Zhang Changrui , et al . Channel equalization based on improved K-means algorithm for O-OFDM indoor visible light communication [J ] . Telecommunication Engineering , 2025 , 65 ( 1 ): 96 - 102 . DOI: 10.20079/j.issn.1001-893x.231031003. http://dx.doi.org/10.20079/j.issn.1001-893x.231031003. (in Chinese)
Sheng Xia , Zhang Qi , Gao Ran , et al . K-means cluster algorithm applied for geometric shaping based on iterative polar modulation in inter-data centers optical interconnection [J ] . Electronics , 2021 , 10 ( 19 ): 2417 . DOI: 10.3390/electronics10192417 http://dx.doi.org/10.3390/electronics10192417 .
Liu Hao , An Jiancheng , Xu Wangyang , et al . K-means based constellation optimization for index modulated reconfigurable intelligent surfaces [J ] . IEEE Communications Letters , 2023 , 27 ( 8 ): 2152 - 2156 . DOI: 10.1109/LCOMM.2023.3282321 http://dx.doi.org/10.1109/LCOMM.2023.3282321 .
Zheng Wenxiu , Li Li . Constellation diagrams’information extraction with carrier frequency offset and phase differences [C ] // Proceedings of the 2024 7th International Conference on Artificial Intelligence and Pattern Recognition (AIPR’24) . New York : Association for Computing Machinery , 2025 : 1084 - 1092 . DOI: 10.1145/3703935.3703967 http://dx.doi.org/10.1145/3703935.3703967 .
严富成 , 程郁凡 , 陆炫宇 , 等 . 基于循环自相关的OFDM时间参数盲估计改进算法研究 [J ] . 信号处理 , 2019 , 35 ( 1 ): 65 - 74 . DOI: 10.16798/j.issn.1003-0530.2019.01.009 http://dx.doi.org/10.16798/j.issn.1003-0530.2019.01.009 .
Yan Fucheng , Cheng Yufan , Lu Xuanyu , et al . Research on blind estimation improved algorithm of OFDM time parameters based on cyclic autocorrelation [J ] . Journal of Signal Processing , 2019 , 35 ( 1 ): 65 - 74 . DOI: 10.16798/j.issn.1003-0530.2019.01.009. http://dx.doi.org/10.16798/j.issn.1003-0530.2019.01.009. (in Chinese)
Hong Shunli , Li Youming , Zhang Xiaolong , et al . Correlation-based blind SINR estimation with statistical theoretic analysis for OFDM systems [J ] . EURASIP Journal on Advances in Signal Processing , 2025 , 2025 ( 1 ): 54 . DOI: 10.1186/s13634-025-01263-2 http://dx.doi.org/10.1186/s13634-025-01263-2
Rugini L , Banelli P . On the equivalence of maximum SNR and MMSE estimation: Applications to additive non-Gaussian channels and quantized observations [J ] . IEEE Transactions on Signal Processing , 2016 , 64 ( 23 ): 6190 - 6199 . DOI: 10.1109/TSP.2016.2607152 http://dx.doi.org/10.1109/TSP.2016.2607152 .
Andersson F , Carlsson M , Tourneret J Y , et al . A new frequency estimation method for equally and unequally spaced data [J ] . IEEE Transactions on Signal Processing , 2014 , 62 ( 21 ): 5761 - 5774 . DOI: 10.1109/TSP.2014.2358961 http://dx.doi.org/10.1109/TSP.2014.2358961 .
赵晋毅 , 尚佳栋 , 杨健 . 高动态环境下数据链信号载波频率估计算法 [J ] . 系统工程与电子技术 , 2023 , 45 ( 9 ): 2965 - 2970 . DOI: 10.12305/j.issn.1001-506X.2023.09.37 http://dx.doi.org/10.12305/j.issn.1001-506X.2023.09.37 .
Zhao Jinyi , Shang Jiadong , Yang Jian . Carrier frequency estimation algorithm of data link signal in high dynamic environment [J ] . Systems Engineering and Electronics , 2023 , 45 ( 9 ): 2965 - 2970 . DOI: 10.12305/j.issn.1001-506X.2023.09.37. http://dx.doi.org/10.12305/j.issn.1001-506X.2023.09.37. (in Chinese)
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