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Distributed Tracking of Extended Target With Orientation Using Variational Bayesian 基于变分贝叶斯的扩展目标定向分布式跟踪
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-10 DOI: 10.1049/rsn2.70059
Qinqin Jiao

In this work, we propose an alternative distributed tracking approach for extended target with time-varying orientation in a sensor network. Within the random matrix framework, we employ a Gaussian prior for the orientation, the inverse Gamma priors for the diagonal elements of the extent matrix, and a Gamma prior for the measurement rate. Using the Gamma Gaussian Inverse Gamma Gaussian (GGIGG) state model, we derive a centralised tracking approach based on the variational Bayesian technique. Subsequently, we introduce a distributed variational measurement update that leverages convex combination fusion. Closed-form expressions for the unknown variables are derived under a consensus scheme. The resulting algorithm efficiently computes approximate posterior densities for the kinematic state, extent, orientation, and measurement rate in a distributed manner. The effectiveness of the proposed distributed tracking method is validated through numerical experiments, with results showing that the proposed algorithm outperforms existing method based on the multiplicative error model.

在这项工作中,我们提出了一种替代的分布式跟踪方法,用于传感器网络中具有时变方向的扩展目标。在随机矩阵框架中,我们对方向使用高斯先验,对范围矩阵的对角线元素使用逆Gamma先验,对测量率使用Gamma先验。利用伽马高斯反伽马高斯(GGIGG)状态模型,我们推导了一种基于变分贝叶斯技术的集中跟踪方法。随后,我们引入了一种利用凸组合融合的分布式变分测量更新。在一致格式下导出了未知变量的封闭表达式。所得到的算法有效地以分布式方式计算运动状态、范围、方向和测量率的近似后验密度。通过数值实验验证了所提分布式跟踪方法的有效性,结果表明所提算法优于现有基于乘法误差模型的分布式跟踪方法。
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引用次数: 0
An Effective Method Incorporating Binary Prior Information for Programmable Metasurface-Based Microwave Computational Imaging 一种融合二元先验信息的可编程超表面微波计算成像方法
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-05 DOI: 10.1049/rsn2.70073
Fang-Fang Wang, Hai-Fei Yang, Hang Zhao, Yang Bao, Yiqian Mao, Qing Huo Liu

Microwave computational imaging (MCI) combined with programmable metasurface (PMS) has seen significant advancements in recent years. This new microwave imaging technology performs multiplexed measurements by manipulating the radiation pattern of PMS and acquires the spatial resolution. Compared with the traditional real aperture microwave imaging and synthetic aperture microwave imaging, PMS-based MCI (PMS-MCI) not only reduces the cost of the imaging system, but also significantly improves imaging efficiency. As a typical inverse scattering problem, PMS-MCI is nonlinear. To address this nonlinearity, the Born approximation or physical optical (PO) approximation is often used. Additionally, the limited number of independent PMS radiation patterns makes PMS-MCI an ill-posed problem. The ill-posedness of PMS-MCI is mostly overcome through a regularisation scheme which leverages sparse prior information. However, the imaging performance of these existing sparsity-regularised methods can degrade significantly if the sparsity of the probed scene decreases. In some scenarios, one only seeks to reconstruct the shape of a metallic object, which can be parameterised with a binary local shape function (LSF). This binary prior information of LSF can also be exploited to tackle the ill-posed problem. Therefore, a method incorporating such a priori binary information will be introduced into PMS-MCI for recovering the shape of metallic objects in this work. Specifically, a prior model is first constructed to enforce the binary characteristics of the unknowns. Then, Bayesian inference is performed using the variational expectation maximisation (EM) algorithm, integrated with the damped generalised approximation message passing (GAPM) algorithm. Numerical examples are presented to demonstrate the accuracy, efficiency and robustness of the proposed PMS-MCI method.

近年来,微波计算成像(MCI)与可编程超表面(PMS)技术的结合取得了重大进展。这种新的微波成像技术通过控制PMS的辐射方向图来实现多路测量,并获得空间分辨率。与传统的真孔径微波成像和合成孔径微波成像相比,基于PMS-MCI (PMS-MCI)不仅降低了成像系统的成本,而且显著提高了成像效率。作为典型的逆散射问题,PMS-MCI是非线性的。为了解决这种非线性,通常使用玻恩近似或物理光学近似。此外,独立的PMS辐射模式数量有限,使得PMS- mci成为一个不适定问题。PMS-MCI的病态性主要通过利用稀疏先验信息的正则化方案来克服。然而,当探测场景的稀疏度降低时,现有稀疏正则化方法的成像性能会显著下降。在某些情况下,人们只寻求重建金属物体的形状,这可以用二元局部形状函数(LSF)参数化。LSF的二元先验信息也可以用来解决不适定问题。因此,本文将这种先验二值信息引入到PMS-MCI中,用于金属物体形状的恢复。具体地说,首先构建一个先验模型来强制执行未知数的二进制特征。然后,使用变分期望最大化(EM)算法进行贝叶斯推理,并与阻尼广义近似消息传递(GAPM)算法相结合。数值算例验证了该方法的准确性、有效性和鲁棒性。
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引用次数: 0
Design and Reception Method of Code Shift Keying Signals With Power-of-Two Phase Intervals 二相间隔功率码移键控信号的设计与接收方法
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-31 DOI: 10.1049/rsn2.70074
Nengjie Yu, Dun Wang, Xiaohui Ba, Mingquan Lu, Shaobo Shen

Precise point positioning (PPP) technology has garnered extensive attention for its ability to deliver real-time centimetre-level accuracy services. When providing PPP services via satellite navigation signals, it is necessary to increase the data rate to over 1000 bps. Code shift keying (CSK) technology has emerged as a key candidate for satellite-based PPP signal design. It can increase the data rate without requiring additional frequency resources and compromising ranging performance. However, CSK technology faces several challenges. Firstly, it is vulnerable to multipath interference, which can lead to intersymbol interference. Secondly, the complexity of demodulation increases exponentially with an increase in the number of bits per symbol. In this paper, a novel approach for the design and reception of CSK signals with a phase interval mapping of power-of-two chips is proposed. Analyses demonstrate that this method is capable of significantly reducing the demodulation complexity while mitigating the intersymbol interference. The CSK (6, 2) modulation with a phase interval mapping of 128 chips is employed for the BDS PPP-B2b signal. The signal is demodulated using the FFT with a phase interval output of 128 points. The computation can be reduced by approximately 85%, compared to the continuous phase mapping CSK signal demodulated by partial-output FFT.

精确点定位(PPP)技术因其提供实时厘米级精度服务的能力而受到广泛关注。通过卫星导航信号提供PPP业务时,需要将数据速率提高到1000bps以上。码移键控(CSK)技术已成为基于卫星的PPP信号设计的关键候选技术。它可以在不需要额外的频率资源和影响测距性能的情况下提高数据速率。然而,CSK技术面临着一些挑战。首先,它容易受到多径干扰,从而导致码间干扰。其次,解调的复杂性随着每个符号比特数的增加呈指数增长。本文提出了一种基于2次方芯片相位间隔映射的CSK信号设计和接收新方法。分析表明,该方法在减小码间干扰的同时显著降低了解调复杂度。BDS PPP-B2b信号采用相位间隔映射128个芯片的CSK(6,2)调制。信号解调使用FFT与128点的相位间隔输出。与部分输出FFT解调的连续相位映射CSK信号相比,计算量可减少约85%。
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引用次数: 0
Antisaturation Carrier Tracking Technique for Ground-Based Positioning Systems 地基定位系统的抗饱和载波跟踪技术
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-31 DOI: 10.1049/rsn2.70071
Hongchuan Zhang, Zheng Yao, Mingquan Lu

As an alternative to global navigation satellite systems (GNSS), ground-based positioning systems (GBPS) can achieve high-precision positioning based on carrier phase measurements in GNSS-denied environments. However, due to a large dynamic range of the received signal power in GBPS scenarios, the receiver front-end is susceptible to saturation when processing strong signals from nearby base stations (BS). In such cases, conventional tracking technique may suffer from a significant carrier phase tracking error and degraded ranging performance, which results in a limited carrier phase positioning range and reduced practicality of GBPS. To this extend, this paper proposes an antisaturation carrier tracking technique based on Fourier series (FS) decomposition, which comprises a saturation detector, a multiharmonic predetection filter and a multiharmonic carrier phase discriminator. Compared to the conventional technique, it can extract sufficient carrier phase information from those excessively strong GBPS signals distorted by front-end saturation. Numerical simulation results demonstrate that, except in cases with low saturation levels and minimal carrier Doppler frequencies, a superior carrier tracking performance can always be obtained. Results of a wireless experimental test further validate the effectiveness of the proposed technique. Therefore, more accurate and reliable carrier phase ranging and positioning can be achieved when the receiver is very close to a BS, thereby expanding the usable positioning range of GBPS and enhancing its practicality and robustness.

作为全球导航卫星系统(GNSS)的替代方案,地面定位系统(GBPS)可以在GNSS拒绝的环境中实现基于载波相位测量的高精度定位。然而,由于GBPS场景下接收信号功率的动态范围较大,在处理来自附近基站(BS)的强信号时,接收机前端容易出现饱和。在这种情况下,传统的跟踪技术可能存在较大的载波相位跟踪误差和测距性能下降,导致载波相位定位范围有限,降低了GBPS的实用性。为此,本文提出了一种基于傅立叶级数(FS)分解的抗饱和载波跟踪技术,该技术包括一个饱和检测器、一个多谐波预检测滤波器和一个多谐波载波鉴相器。与传统方法相比,该方法可以从被前端饱和失真的过强GBPS信号中提取足够的载波相位信息。数值仿真结果表明,除了低饱和电平和最小载波多普勒频率的情况外,总能获得较好的载波跟踪性能。无线实验测试的结果进一步验证了所提技术的有效性。因此,在接收机离基站非常近的情况下,可以实现更加准确可靠的载波相位测距和定位,从而扩大了GBPS的可用定位范围,增强了其实用性和鲁棒性。
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引用次数: 0
High-Rise Architectural Landmarks Detection and Identification by Spatio-Probabilistic Models for UAV Anti-Collision Radar—A Real Data Case 基于空间概率模型的无人机防撞雷达高层建筑地标检测与识别——一个真实数据案例
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-26 DOI: 10.1049/rsn2.70069
Urszula Libal, Pawel Biernacki

Unmanned aerial vehicles (UAVs) heavily rely on GPS, a system vulnerable to signal interference in complex urban environments. Although radar systems offer a robust alternative due to their ability to effectively penetrate adverse weather and operate in darkness, a key challenge remains: reliably identifying static architectural landmarks from sparse and noisy radar echoes. This paper proposes a novel method for creating spatio-probabilistic models (SPMs) of radar echoes from high-rise urban landmarks, enabling independent, radar-based UAV localisation. We employ kernel density estimation on real radar data, acquired with a custom-designed X-band ENAVI radar, focusing on large arena buildings and slender spires. These SPMs are then used to detect and identify landmarks by calculating the divergence between the probability distributions of the real-time received echoes and the preestimated reference models. Our evaluation, using probabilistic divergence metrics on Wrocław's Centennial Hall and Iglica, shows that this method effectively preserves the statistical properties of the radar data, generating high-fidelity SPMs. This approach significantly improves landmark identification compared to classical correlation methods, paving the way for more robust and resilient UAV navigation systems.

无人机严重依赖GPS系统,而GPS系统在复杂的城市环境中容易受到信号干扰。虽然雷达系统提供了一个强大的替代方案,因为它们能够有效地穿透恶劣天气和在黑暗中运行,但一个关键的挑战仍然存在:从稀疏和嘈杂的雷达回波中可靠地识别静态建筑地标。本文提出了一种新的方法来创建来自高层城市地标的雷达回波的空间概率模型(SPMs),从而实现独立的、基于雷达的无人机定位。我们对使用定制设计的x波段ENAVI雷达获取的真实雷达数据采用核密度估计,重点关注大型竞技场建筑和细长尖塔。然后,通过计算实时接收回波的概率分布与预估参考模型之间的差异,这些SPMs被用于检测和识别地标。我们使用概率散度指标对Wrocław的百年纪念堂和Iglica进行了评估,结果表明该方法有效地保留了雷达数据的统计特性,生成了高保真的spm。与经典的相关方法相比,该方法显著提高了地标识别,为更具鲁棒性和弹性的无人机导航系统铺平了道路。
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引用次数: 0
A Flexible K-Band FMCW Radar Prototype for Low-RCS Nano-Drone Detection 用于低rcs纳米无人机探测的柔性k波段FMCW雷达样机
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-24 DOI: 10.1049/rsn2.70067
Safiah Zulkifli, Alessio Balleri

Nano-drones are insect-like drones used to provide intelligence through their capability of intrusion and ability to carry small sensors. They pose a defence and security threat and can potentially violate secure establishments and privacy rights. Their rapid emergence and increased availability have made them an existing technology which is affordable and easy to operate. Nano-drones are typically defined as drones smaller than 15 cm. They are light and stealthy in nature and present a very low radar cross-section (RCS) which creates a significant challenge for active Radio Frequency (RF) security systems tasked with detecting potential threats. This paper presents a K-band Frequency Modulated Continuous Wave (FMCW) radar prototype tailored for detecting nano-drones. Operating at 24 GHz and utilising commercial off-the-shelf components, the radar offers a low-cost, flexible and customisable solution with user-selectable frequency and waveform parameters. The system's detection capabilities were tested using low-RCS oscillating metallic spheres ranging from 0.5 to 3.0 cm in diameter. Nano-drone detection was demonstrated using range-Doppler maps and time-frequency spectrograms of a real and small 5 cm nano-drone. The paper provides a detailed overview of the radar design and test methodology, together with a detailed investigation of the radar performance.

纳米无人机是一种类似昆虫的无人机,通过其入侵能力和携带小型传感器的能力来提供情报。它们对国防和安全构成威胁,并可能侵犯安全设施和隐私权。它们的迅速出现和越来越多的可用性使它们成为一种既便宜又易于操作的现有技术。纳米无人机通常被定义为小于15厘米的无人机。它们重量轻,隐身性好,雷达横截面(RCS)非常低,这对负责检测潜在威胁的有源射频(RF)安全系统构成了重大挑战。本文提出了一种专门用于探测纳米无人机的k波段调频连续波雷达原型。该雷达工作频率为24 GHz,利用商用现成组件,提供低成本、灵活和可定制的解决方案,用户可选择频率和波形参数。使用低rcs振荡金属球测试了该系统的探测能力,金属球的直径为0.5至3.0 cm。利用距离-多普勒图和真实的小型5厘米纳米无人机的时频谱图演示了纳米无人机的检测。本文提供了雷达设计和测试方法的详细概述,以及雷达性能的详细调查。
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引用次数: 0
Spectrum Sensing Algorithm Based on the Euclidean Norm of the Horizontal Visibility Graph for Cognitive Radio 基于水平可见图欧几里得范数的认知无线电频谱感知算法
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-21 DOI: 10.1049/rsn2.70051
Wenqing Zhu, Guobing Hu, Jun Song, Shanshan Wu, Li Yang

To address the issues of poor detection performance under low signal-to-noise ratios (SNRs) and high computational complexity in existing visibility graph-based spectrum sensing algorithms, this article proposes a novel algorithm based on the Euclidean norm of the horizontal visibility graph (HVG) adjacency matrix. The algorithm begins by computing the block summation of the observed signal's power spectrum. The squared modulus of its autocorrelation function is subsequently calculated, normalised and quantised to form the new sequence, which is then transformed to the HVG and defined as the graph signal. The one-hop graph filter is constructed from the graph signal and the adjacency matrix, and its Euclidean norm serves as the detection statistic. This statistic is compared against a predefined threshold to determine the presence of the primary user signal. To theoretically analyse detection performance, the weak submajorisation order is introduced to evaluate the statistical differences between graph signals under the two hypotheses. Additionally, data exploration demonstrates that the proposed statistic approximately follows a Burr distribution under the null hypothesis, allowing for an approximate analytical expression for the detection threshold is derived. Simulation results show that the proposed algorithm outperforms existing graph-based algorithms at low SNRs while maintaining moderate computational complexity.

针对现有基于可见性图的频谱感知算法在低信噪比(SNRs)下检测性能差、计算复杂度高的问题,提出了一种基于水平可见性图(HVG)邻接矩阵欧几里德范数的新算法。该算法首先计算观测信号功率谱的块和。随后计算其自相关函数的平方模量,归一化和量化以形成新的序列,然后将其转换为HVG并定义为图信号。由图信号和邻接矩阵构造一跳图滤波器,其欧几里德范数作为检测统计量。将此统计数据与预定义的阈值进行比较,以确定主用户信号的存在。为了从理论上分析检测性能,引入弱次多数化顺序来评估两种假设下图信号之间的统计差异。此外,数据探索表明,所提出的统计量在零假设下近似遵循Burr分布,允许导出检测阈值的近似解析表达式。仿真结果表明,该算法在保持中等计算复杂度的同时,在低信噪比下优于现有的基于图的算法。
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引用次数: 0
Motion Modelling and State Estimation for Ballistic Targets in Reentry Phase Based on Destination Information 基于目标信息的弹道目标再入阶段运动建模与状态估计
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-21 DOI: 10.1049/rsn2.70068
Changwei Gao, Keyi Li, Gongjian Zhou

In some ballistic target tracking applications, the target travels to the destination with a constant horizontal heading in the reentry phase, whose states are subjected to a destination constraint. If the prior information on the destination can be acquired and effectively utilised, a significant enhancement of performance can be expected. In this paper, a three-dimensional (3D) constrained motion model is established to describe the target motion in the reentry phase. For different cases where the prior destination information is accurately known or contaminated by noise, the horizontal heading angle or the destination position is augmented into the state vector to formulate the accurate constraint relationships in the horizontal plane. Based on the augmented state vectors and the existing 2D model for reentry targets in the vertical plane, accurate state equations are derived to describe the ballistic target motion in the 3D space. Corresponding filtering methods, which employ the unscented Kalman filter to deal with the strong nonlinearity in the augmented state equation, are proposed. Simulation results of Monte Carlo experiments verify the effectiveness of the proposed constrained estimation methods. It is demonstrated that the incorporation of extra destination constraint information leads to superior tracking performance compared with the unconstrained method.

在一些弹道目标跟踪应用中,目标在再入阶段以恒定的水平航向飞向目的地,其状态受目的地约束。如果能够获得并有效利用目的地的先验信息,则可以期望显著提高性能。本文建立了一个三维约束运动模型来描述目标在再入阶段的运动。针对先验目标信息准确已知或受噪声污染的不同情况,将水平航向角或目标位置增广到状态向量中,在水平面上形成精确的约束关系。基于增广状态向量和现有的垂直平面再入目标二维模型,导出了精确描述弹道目标三维空间运动的状态方程。提出了相应的滤波方法,利用无气味卡尔曼滤波来处理增广状态方程中的强非线性。蒙特卡罗仿真实验结果验证了所提约束估计方法的有效性。结果表明,与不加约束的方法相比,加入额外的目标约束信息可以获得更好的跟踪性能。
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引用次数: 0
Deep Neural Network Model of Ultrafast 2D Direction-of-Arrival Estimation Using Planar Arrays for Multi-Octave-Band Digital Receiver Applications 平面阵列超快速二维到达方向估计的深度神经网络模型在多倍频带数字接收机中的应用
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-20 DOI: 10.1049/rsn2.70066
Chen Wu, Qi Er Teng, Raffi Fox

This study presents a deep neural network (DNN) model for multi-octave-band direction-finding (MOB-DF) estimation using a broadband DF-array and multi-layer perceptron (MLP). The model leverages randomly placed array elements to generate unique array steering vectors (ASVs) for directions within a cone-shaped field-of-view. By directly linking ASVs and signal frequency to direction via an MLP, it eliminates reliance on the signal covariance matrix, a common component in many 2D neural network-based DF methods. The DNN-based MOB-DF model is structured into sub-bands, each utilising a trained 16 × 1024 MLP. Simulations with 3-, 4-, and 5-element DF models, trained and validated on datasets with signal-to-noise ratios (SNRs) of 10, 20, and 100 dB respectively, reveal several key findings: (1) MLPs trained at 10 dB SNR can achieve better estimation performance across varying SNR levels, where estimation performance is defined as the probability of direction estimation error ≤ 1°. (2) Increasing array elements expands MOB coverage. (3) The 5-element model attains probabilities of 50% and 90% for ≤ 1° estimation errors at approximately −20 and −10 dB SNR respectively within 2–20 GHz. (4) Average prediction time per direction is on the microsecond scale. (5) The model shows resilience to frequency estimation uncertainties.

本研究提出了一种基于宽带测向阵列和多层感知器(MLP)的多倍频带测向(mobf)估计的深度神经网络(DNN)模型。该模型利用随机放置的阵列元素来生成唯一的阵列转向向量(asv),用于锥形视场内的方向。通过MLP直接将asv和信号频率与方向联系起来,它消除了对信号协方差矩阵的依赖,协方差矩阵是许多基于2D神经网络的DF方法中的常见成分。基于dnn的mobo - df模型被构建成子带,每个子带都使用经过训练的16 × 1024 MLP。在信噪比分别为10、20和100 dB的数据集上,对3元、4元和5元DF模型进行了模拟和验证,揭示了几个关键发现:(1)在不同信噪比水平下,以10 dB信噪比训练的mlp可以获得更好的估计性能,其中估计性能定义为方向估计误差≤1°的概率。(2)增加阵列元素扩大MOB覆盖范围。(3) 5元模型在2-20 GHz范围内,信噪比分别约为- 20和- 10 dB时,估计误差≤1°的概率分别为50%和90%。(4)每方向平均预报时间为微秒级。(5)模型对频率估计的不确定性具有弹性。
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引用次数: 0
Loran-C Ground Wave Transmission Path Correction for High Elevation Based on the Huygens–Fresnel Principle 基于惠更斯-菲涅耳原理的高海拔罗兰- c地波传输路径校正
IF 1.5 4区 管理学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-17 DOI: 10.1049/rsn2.70057
Ao Gao, Bing Ji, Guang Zheng, Miao Wu, Sisi Chang, Deying Yu, Wenkui Li

Conventional Loran-C is mainly used for low-altitude users; however, when the Loran-C signal station or receiving point is at a higher altitude, the ranging error caused by the elevation change cannot be ignored. The traditional groundwave path correction method for high altitude regions idealises the complex groundwave path as a smooth, extensive elliptic line. However, this is a rough and inaccurate correction value (ΔS) $({Delta }S)$ for the groundwave path. In this paper, based on the Huygens–Fresnel principle, we analyse the Loran-C groundwave path, and propose the Groundwave path accumulation (GPA) method, which calculates the complex terrain groundwave transmission paths in segments, to solve the problem of the low accuracy of ΔS ${Delta }S$ in the traditional method. With the opening of high-altitude Loran-C stations in western China, the algorithm in this paper can improve the accuracy of Loran-C users' packet positioning to a certain extent in central and western China, Central Asia, and South Asia. The article analyses the correction value of the GPA algorithm to the Loran-C ground wave transmission distance between two points with elevation, and the ground wave path correction value is 46.918 m in the elevation difference of 2500.000 m and no elevation distance of 414,306.538 m.

常规罗兰- c主要用于低空用户;但是,当Loran-C信号站或接收点处于较高的海拔高度时,由于海拔高度变化引起的测距误差不容忽视。传统的高海拔地区地波路径校正方法将复杂的地波路径理想化为一条光滑、宽的椭圆线。然而,这是一个粗略和不准确的地波路径校正值(Δ S)$ ({Delta}S)$。本文基于惠更斯-菲涅耳原理,对Loran-C地波路径进行了分析,提出了地波路径累积(GPA)方法,对复杂地形地波传播路径进行分段计算,解决了传统方法Δ S$ {Delta}S$精度低的问题。随着中国西部高海拔Loran-C站的开通,本文算法可以在一定程度上提高中国中西部、中亚和南亚地区Loran-C用户的分组定位精度。本文分析了GPA算法对有高程的两点间Loran-C地波传播距离的修正值,在高程差为2500.000 m,无高程差为414,306.538 m时,地波路径修正值为46.918 m。
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