Preamble-Referenced Cyclic Cross-Correlation Chirp Spread Spectrum Communication Technology in Complex Multipath Environments
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摘要: 针对地面无人平台在复杂多径环境下的短突发可靠通信问题,该文研究强多径、载波频率偏移(Carrier Frequency Offset, CFO)、定时偏移(Timing Offset, TO)、采样频率偏移(Sampling Frequency Offset, SFO)与带内干扰共同作用下鲁棒检测技术,构造前导参考循环互相关线性调频扩频(Preamble-Referenced Cyclic Cross-Correlation CSS, PRCC-CSS)方法。该方法联合设计帧结构、同步估计与载荷检测:前导up-chirp与帧同步定界符down-chirp的互补频域索引联合估计整数CFO与TO;相邻前导相位差、平均谱主峰邻域和跨符号bin漂移分别估计小数CFO、小数TO和SFO;载荷检测以前导平均谱构造帧参考谱,与载荷谱循环互相关完成符号判决。本文参数设置下的仿真表明,在加性高斯白噪声、扩展典型城市(Extended Typical Urban, ETU)信道模型及ETU叠加干扰场景下,PRCC-CSS较直接序列扩频获得更低能量门限;在ETU加干扰下较非相干和相干峰值检测获得更低信干噪比门限。此外,基于软件无线电原型验证系统在ETU、5dB干扰信号功率比条件下可靠帧保留率达90%以上,通过筛选的可靠帧内未观测到符号与比特错误。因此,所提技术将多径频域结构由不利扰动转化为可匹配参考特征,可作为复杂短突发可靠通信的候选物理层方案。Abstract:
Objective Ground unmanned platforms operating in urban streets, industrial parks, and underground passages require short-burst reliable command-and-control communication. These complex near-ground environments simultaneously impose strong multipath fading, large Carrier Frequency Offset (CFO), residual Timing Offset (TO), Sampling Frequency Offset (SFO), and in-band interference from coexisting wireless systems. Conventional Chirp Spread Spectrum (CSS) receivers based on single-peak decisions in the dechirp–Discrete Fourier Transform (DFT) domain suffer from multipath-induced spectral splitting and interference-induced bin masking, while Direct-Sequence Spread Spectrum (DSSS) baselines exhibit synchronization fragility under combined offsets and degraded energy efficiency under multipath. Simultaneously addressing these impairments is essential for enabling robust low-latency control links and for the coexistence of unmanned platforms with legacy wireless infrastructure in dense deployments. Methods This paper proposes a Preamble-Referenced Cyclic Cross-Correlation CSS (PRCC-CSS) scheme that jointly designs frame structure, synchronization estimation, and payload detection. Each frame comprises multiple identical up-chirp preamble symbols, a down-chirp Start Frame Delimiter (SFD), and CSS-modulated payload symbols. The complementary frequency-domain indices at the dechirp-DFT outputs of the up-chirp preamble and the down-chirp SFD are exploited to jointly estimate integer CFO and TO via closed-form linear combinations. Fractional CFO is recovered from inter-symbol phase differences across adjacent preamble symbols; fractional TO is extracted from the centroid of the main-peak neighborhood of the averaged preamble spectrum; and under a common oscillator-reference assumption, SFO-induced bin drift is compensated using the CFO-derived clock-offset relation. After offset compensation, the averaged preamble spectrum serves as a frame-specific reference spectrum that captures the instantaneous multipath fingerprint of the channel. Payload symbols are then detected by computing the cyclic cross-correlation between this reference spectrum and each candidate-shifted payload spectrum, taking the maximum-correlation index as the demodulated symbol. This formulation converts the multipath-induced frequency-domain structure from an adverse perturbation into a matchable intra-frame reference feature, thereby enabling multipath-robust structure-matched payload detection without explicit path-by-path channel estimation. Results and Discussions PRCC-CSS is evaluated under identical bandwidth, sampling rate, and processing gain at a target Bit Error Rate (BER) of 10–4. First, it is compared against three DSSS baselines using Binary Phase-Shift Keying (BPSK), Quadrature Phase-Shift Keying (QPSK), and 16-ary Quadrature Amplitude Modulation (16QAM) under three channel conditions. Under Additive White Gaussian Noise (AWGN, Fig. 1 ), PRCC-CSS reaches the target at approximately 5 dB Eb/N0 versus 8.5–9 dB for the best DSSS baseline, indicating that chirp index modulation combined with preamble-referenced correlation provides inherent frequency-domain energy aggregation independent of any specific multipath profile. Under the Extended Typical Urban (ETU) channel without interference (Fig. 2 ), PRCC-CSS requires approximately 6.5 dB versus approximately 10 dB, as the preamble reference spectrum captures and reuses the per-frame multipath structure that finite-finger DSSS-RAKE cannot fully exploit due to path-capture and code-synchronization errors. Under ETU with in-band interference at Jamming-to-Signal Ratio (JSR) = 5 dB (Fig. 3 ), PRCC-CSS requires approximately 8.1 dB versus 10.8–11.0 dB, since the cyclic cross-correlation preserves decision separability—reference and payload spectra share nearly identical channel structure within the same frame—whereas DSSS-RAKE accumulates interference residue across all combining fingers. Second, against Dechirp Non-Coherent (DNC) and coherent peak detection at Spreading Factor (SF) = 7 and SF = 9 under ETU with interference (Fig. 4 ), DNC fails to reach the target within the tested Signal-to-Interference-plus-Noise Ratio (SINR) range at SF = 7 and requires approximately 4–5 dB at SF = 9, whereas PRCC-CSS reaches the target at approximately –5 dB SINR at SF = 7 and –11 dB at SF = 9, yielding a 10–15 dB SINR threshold improvement and confirming that the gain stems from frame-wide cyclic matching rather than phase compensation alone. Third, a Software-Defined Radio (SDR) prototype on an ETU-emulated channel at JSR = 5 dB (Fig. 5 –Fig. 6 ) retains 300 of 332 received frames as reliable (90.4%). In the retained reliable frames, no symbol errors were observed among 6,000 payload symbols and no bit errors were observed among 54,000 payload bits, corresponding to a one-sided 95% upper confidence bound of 5.56 × 10-5 on the retained-frame conditional BER.Conclusions This paper proposes the PRCC-CSS scheme that jointly integrates integer/fractional CFO–TO and SFO estimation with cyclic cross-correlation payload detection. Results demonstrate that: (1) at BER = 10–4, PRCC-CSS lowers the required Eb/N0 by approximately 2.7–4.0 dB relative to the best DSSS-BPSK/QPSK/16QAM baseline across AWGN, ETU, and ETU with JSR = 5 dB cases; (2) under ETU with interference, PRCC-CSS lowers the required SINR by approximately 10–15 dB relative to DNC at SF = 7 and SF = 9, with a further consistent margin over coherent peak detection; (3) the SDR prototype retains 90.4% of received frames, and the retained-frame conditional BER has a one-sided 95% upper confidence bound of 5.56 × 10–5. By exploiting the multipath-induced frequency-domain structure as a matchable intra-frame reference feature rather than as a perturbation, PRCC-CSS provides a candidate physical-layer solution for short-burst reliable communication in complex near-ground environments. Future work will extend the scheme to higher-order CSS modulations, multi-antenna diversity reception, and adaptive reference-spectrum updating for time-varying channels. -
表 1 仿真参数设置
参数 设置 带宽/采样率 B=Fs=10 MHz 载频 fc=2 GHz CSS符号长度 SF=7/9, N=128/512 主要信道 AWGN、ETU、ETU+干扰 DSSS基线 BPSK、QPSK、16QAM;9-finger RAKE/MRC Chirp基线 传统DNC、相干峰值检测 主要指标 BER-Eb/N0,BER-SINR,帧保留率 -
[1] RODA-SANCHEZ L, ZANZI L, LI Xi, et al. Network digital twin for 5G-enabled mobile robots[C]. 2025 IEEE Wireless Communications and Networking Conference (WCNC), Milan, Italy, 2025: 1–6. doi: 10.1109/WCNC61545.2025.10978546. [2] 王昱, 张旭秀. 一种结合选择性通信与冲突解决的多智能体路径规划方法[J]. 电子与信息学报, 2025, 47(8): 2830–2840. doi: 10.11999/JEIT250122.WANG Yu and ZHANG Xuxiu. A multi-agent path finding strategy combining selective communication and conflict resolution[J]. Journal of Electronics & Information Technology, 2025, 47(8): 2830–2840. doi: 10.11999/JEIT250122. [3] LAMRI I E, NEDIL M, TEMMAR M N E, et al. Near-ground propagation channel modeling and analysis in underground mining environment at 2.4 GHz[J]. IEEE Open Journal of Antennas and Propagation, 2025, 6(2): 445–459. doi: 10.1109/OJAP.2025.3527334. [4] 王诗雨, 汪西明, 可臻怡, 等. 无人机通信多模抗干扰: 融合二维迁移强化学习的协同决策方法[J]. 电子与信息学报, 2025, 47(11): 4200–4210. doi: 10.11999/JEIT250566.WANG Shiyu, WANG Ximing, KE Zhenyi, et al. Multi-mode anti-jamming for UAV communications: A cooperative mode-based decision-making approach via two-dimensional transfer reinforcement learning[J]. Journal of Electronics & Information Technology, 2025, 47(11): 4200–4210. doi: 10.11999/JEIT250566. [5] 杨和林, 郑梦婷, 刘帅, 等. 恶意干扰下的无人机辅助边缘计算加权能耗与时延智能优化[J]. 电子与信息学报, 2024, 46(7): 2879–2887. doi: 10.11999/JEIT230986.YANG Helin, ZHENG Mengting, LIU Shuai, et al. Intelligent weighted energy consumption and delay optimization for UAV-assisted MEC under malicious jamming[J]. Journal of Electronics & Information Technology, 2024, 46(7): 2879–2887. doi: 10.11999/JEIT230986. [6] 李振东, 谭维凤, 康成斌, 等. 直接序列扩频系统抗干扰能力研究[J]. 电子与信息学报, 2021, 43(1): 116–123. doi: 10.11999/JEIT191007.LI Zhendong, TAN Weifeng, KANG Chengbin, et al. Research on anti-interference ability of direct sequence spread spectrum system[J]. Journal of Electronics & Information Technology, 2021, 43(1): 116–123. doi: 10.11999/JEIT191007. [7] GARELLO R. Serial multicode direct sequence spread spectrum with applications to satellite navigation pilot channels[J]. IEEE Communications Letters, 2024, 28(11): 2603–2607. doi: 10.1109/LCOMM.2024.3457693. [8] MALEKI A, NGUYEN H H, BEDEER E, et al. A tutorial on chirp spread spectrum modulation for LoRaWAN: Basics and key advances[J]. IEEE Open Journal of the Communications Society, 2024, 5: 4578–4612. doi: 10.1109/OJCOMS.2024.3433502. [9] 花敏, 赵伟. LoRa物理层同步及解调性能研究[J]. 计算机应用研究, 2023, 40(7): 2146–2150. doi: 10.19734/j.issn.1001-3695.2022.11.0639.HUA Min and ZHAO Wei. Research of synchronization and demodulation performance for LoRa physical layer[J]. Application Research of Computers, 2023, 40(7): 2146–2150. doi: 10.19734/j.issn.1001-3695.2022.11.0639. [10] HUANG Peng, LIU Jiaojiao, MA Biyun, et al. Phase-rotation-based CFO estimation and compensation method for reliable LoRa[J]. IEEE Internet of Things Journal, 2025, 12(11): 18455–18458. doi: 10.1109/JIOT.2025.3558720. [11] DEMESLAY C, ROSTAING P, and GAUTIER R. Theoretical performance of LoRa system in multipath and interference channels[J]. IEEE Internet of Things Journal, 2022, 9(9): 6830–6843. doi: 10.1109/JIOT.2021.3114439. [12] LIU Jiaojiao, YAN Yuanmei, YU Hua, et al. Approximate BER performance of LoRa modulation with heavy multipath interference[J]. IEEE Wireless Communications Letters, 2023, 12(5): 853–857. doi: 10.1109/LWC.2023.3246132. [13] GUO Yurong and LIU Zujun. Time-delay-estimation-liked detection algorithm for LoRa signals over multipath channels[J]. IEEE Wireless Communications Letters, 2020, 9(7): 1093–1096. doi: 10.1109/LWC.2020.2981597. [14] DEMESLAY C, ROSTAING P, and GAUTIER R. Simple and efficient LoRa receiver scheme for multipath channel[J]. IEEE Internet of Things Journal, 2022, 9(17): 15771–15785. doi: 10.1109/JIOT.2022.3151257. [15] LIU Jiaojiao, YAN Yuanmei, HUANG Peng, et al. Block interleaved chirp spreading LoRa modulation over multipath channels[J]. IEEE Transactions on Vehicular Technology, 2024, 73(7): 10840–10844. doi: 10.1109/TVT.2024.3387910. [16] XU Zhenqiang, TONG Shuai, XIE Pengjin, et al. From demodulation to decoding: Toward complete LoRa PHY understanding and implementation[J]. ACM Transactions on Sensor Networks, 2022, 18(4): 64. doi: 10.1145/3546869. [17] SZAFRANSKI D and REINHARDT A. PreCo: Ultra-low SNR LoRa demodulation using pre-computed packet correlation[C]. 2025 IEEE 26th International Symposium on a World of Wireless, Mobile and Multimedia Networks (WoWMoM), Fort Worth, USA, 2025: 239–248. doi: 10.1109/WoWMoM65615.2025.00050. [18] ETSI. LTE; Evolved universal terrestrial radio access (E-UTRA); User Equipment (UE) radio transmission and reception[EB/OL]. https://policycommons.net/artifacts/51180444/lte-evolved-universal-terrestrial-radio-access-e-utra-user-equipment-ue-radio-transmission-and-reception/52079121/, 2026. -
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