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Keywords = eLoran signal

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26 pages, 8312 KiB  
Article
A Meteorological Data-Driven eLoran Signal Propagation Delay Prediction Model: BP Neural Network Modeling for Long-Distance Scenarios
by Tao Jin, Shiyao Liu, Baorong Yan, Wei Guo, Changjiang Huang, Yu Hua, Shougang Zhang, Xiaohui Li and Lu Xu
Remote Sens. 2025, 17(13), 2269; https://doi.org/10.3390/rs17132269 - 2 Jul 2025
Viewed by 266
Abstract
The timing accuracy of eLoran systems is susceptible to meteorological fluctuations, with medium-to-long-range propagation delay variations reaching hundreds of nanoseconds to microseconds. While conventional models have been widely adopted for short-range delay prediction, they fail to accurately characterize the coupled effects of multiple [...] Read more.
The timing accuracy of eLoran systems is susceptible to meteorological fluctuations, with medium-to-long-range propagation delay variations reaching hundreds of nanoseconds to microseconds. While conventional models have been widely adopted for short-range delay prediction, they fail to accurately characterize the coupled effects of multiple factors in long-range scenarios. This study theoretically examines the influence mechanisms of temperature, humidity, and atmospheric pressure on signal propagation delays, proposing a hybrid prediction model integrating meteorological data with a back-propagation neural network (BPNN) through path-weighted Pearson correlation coefficient analysis. Long-term observational data from multiple differential reference stations and meteorological stations reveal that short-term delay fluctuations strongly correlate with localized instantaneous humidity variations, whereas long-term trends are governed by cumulative temperature–humidity effects in regional environments. A multi-tier neural network architecture was developed, incorporating spatial analysis of propagation distance impacts on model accuracy. Experimental results demonstrate enhanced prediction stability in long-range scenarios. The proposed model provides an innovative tool for eLoran system delay correction, while establishing an interdisciplinary framework that bridges meteorological parameters with signal propagation characteristics. This methodology offers new perspectives for reliable timing solutions in global navigation satellite system (GNSS)-denied environments and advances our understanding of meteorological–electromagnetic wave interactions. Full article
(This article belongs to the Section AI Remote Sensing)
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14 pages, 3410 KiB  
Article
Preliminary Evaluation and Analysis of Differential Technology Performance of eLoran Timing System
by Kexin Yin, Jianfeng Wu, Runze Ning, Yongqi Chen, Qian Liu and Kang Wang
Electronics 2025, 14(4), 789; https://doi.org/10.3390/electronics14040789 - 18 Feb 2025
Viewed by 564
Abstract
As a major and strategic national scientific and technological infrastructure element, a high-precision ground-based timing system is an important guarantee to meet the demand for high-precision time and frequency in various important fields. To this end, the differential technology of the eLoran timing [...] Read more.
As a major and strategic national scientific and technological infrastructure element, a high-precision ground-based timing system is an important guarantee to meet the demand for high-precision time and frequency in various important fields. To this end, the differential technology of the eLoran timing system can improve the timing accuracy from a microsecond to less than 100 nanoseconds. To further study the performance of this timing system, this article carried out tests around the Pucheng BPL long-wave station and the Xi’an temporary differential station, corrected the before-differencing signal by using differential correction data, analyzed the mean and variance of the before-differencing signal and the after-differencing signal received at different test points, and verified the accuracy and stability of the timing, providing support for the improvement of the high-precision ground-based timing system. Based on the original study of differential systems, the ASF was divided into two parts, the ASF Spatial term and the ASF Temporal term. The differential correction process and the actual differential correction effect were analyzed by the waveform of the ASF Temporal term. Two conclusions could be drawn from this test validation. On the one hand, differential technology not only improved the timing accuracy, but also ensured the stability of the timing results. On the other hand, the differential timing accuracy improved from 10–20 ns to within 10 ns within 60 km of the differential station. Beyond 60 km, the timing accuracy reached 100 ns, even at a distance of 86 km. Full article
(This article belongs to the Section Microwave and Wireless Communications)
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19 pages, 3446 KiB  
Article
Research on the eLoran/GNSS Combined Positioning Algorithm and Altitude Optimization
by Man Yang, Baorong Yan, Chaozhong Yang, Xiang Jiang and Shifeng Li
Remote Sens. 2025, 17(4), 633; https://doi.org/10.3390/rs17040633 - 12 Feb 2025
Viewed by 885
Abstract
With the widespread use of the Global Navigation Satellite System (GNSS), its signal vulnerabilities and security issues have become increasingly exposed. Enhanced Long-Range Navigation (eLoran), as a backup system for the GNSS, has gradually attracted widespread attention. This paper investigates and optimizes the [...] Read more.
With the widespread use of the Global Navigation Satellite System (GNSS), its signal vulnerabilities and security issues have become increasingly exposed. Enhanced Long-Range Navigation (eLoran), as a backup system for the GNSS, has gradually attracted widespread attention. This paper investigates and optimizes the eLoran/GNSS combined positioning algorithm. The main research contributions are as follows: (a) Correcting the incorrect application of spatial coordinate transformation relations in the existing literature and re-deriving the eLoran/GNSS combined positioning algorithm based on the Andoyer–Lambert formula. (b) Correcting the eLoran pseudorange positioning equation for altitude in the combined positioning algorithm, compensating for the lack of altitude parameters in eLoran to improve positioning accuracy. (c) Verifying the correctness of the algorithm through simulation analysis, exploring the impact of errors on the algorithm, and evaluating whether the correction of altitude contributes to improving positioning accuracy. (d) Verifying the simulation results through actual measurement analysis. Full article
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12 pages, 2708 KiB  
Article
An Envelope-to-Cycle Difference Compensation Method for eLoran Signals in Seawater Based on a Variable Step Size Least Mean Square Algorithm
by Miao Wu, Liang Liu, Fangneng Li, Bing Zhu, Wenkui Li and Xianzhou Jin
Electronics 2025, 14(3), 597; https://doi.org/10.3390/electronics14030597 - 3 Feb 2025
Viewed by 852
Abstract
The dispersion effect of seawater can cause the envelop distortion of underwater eLoran signals, which causes the envelope-to-cycle difference (ECD) to exceed the standard range. Furthermore, it results in incorrect cycle identification and significant positioning errors. However, few studies have focused on the [...] Read more.
The dispersion effect of seawater can cause the envelop distortion of underwater eLoran signals, which causes the envelope-to-cycle difference (ECD) to exceed the standard range. Furthermore, it results in incorrect cycle identification and significant positioning errors. However, few studies have focused on the distortion caused by the dispersion effect. In this study, we propose an accurate underwater eLoran ECD compensation method based on a variable step size least mean square (VSS-LMS) algorithm. First, a systematic modeling approach was employed to investigate the impact of dispersion effects on Loran signals. Second, the VSS-LMS algorithm was introduced to update the filter weight vector in response to discrepancies in the input signal. Finally, the input signal was subjected to an adaptive transversal filtering process, resulting in an output signal that adhered to the specifications of the ECD standard. The efficacy and superiority of the proposed algorithm were demonstrated by experimentation and simulation. When the depth of seawater exceeds 2 m, the ECD value of the original eLoran signal exceeds the standard range, precluding the possibility of cycle identification. However, when the depth of seawater reaches 4 m, the ECD of the signal compensated by the proposed algorithm adaptively compensates for the normal range, thereby enabling the accurate recognition of cycles. Full article
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18 pages, 5559 KiB  
Article
Phase Spectrum Smoothing Demodulation: A New Frontier in eLoran Signal Processing for Enhanced Performance
by Shiyao Liu, Baorong Yan, Yu Hua, Wudian Kou, Shougang Zhang, Lu Xu and Jun Lu
Remote Sens. 2024, 16(24), 4700; https://doi.org/10.3390/rs16244700 - 17 Dec 2024
Cited by 1 | Viewed by 897
Abstract
In the field of modern navigation and positioning, the ground-based eLoran system, serves as a vital backup to the global navigation satellite system (GNSS), which is crucial for numerous key applications. Signal demodulation, integral to eLoran’s precision timing and information transmission, significantly affects [...] Read more.
In the field of modern navigation and positioning, the ground-based eLoran system, serves as a vital backup to the global navigation satellite system (GNSS), which is crucial for numerous key applications. Signal demodulation, integral to eLoran’s precision timing and information transmission, significantly affects system performance. Aiming at the pulse position modulation (PPM) characteristics of eLoran signals, this paper introduces an innovative phase spectrum smoothing demodulation (PSSD) algorithm, crafted to improve demodulation performance under complex noisy and interference-laden conditions. Following a systematic review of existing demodulation techniques in eLoran, this paper details the theoretical foundation, key steps, and significant impact of parameter selection for the PSSD algorithm. Then, the unique advantages in dealing with noise, continuous wave, and skywave interference are analyzed and verified. Through extensive experimental validation under various SNR and interference conditions, the PSSD algorithm shows significant superiority in demodulation performance compared with the traditional envelope phase detection (EPD) algorithm. The effectiveness of the PSSD algorithm in interference mitigation and its stable performance across diverse conditions confirm its potential to meet the high-precision timing requirements of eLoran systems, contributing to the advancement of modern communication systems. Full article
(This article belongs to the Special Issue Signal Processing and Machine Learning for Space Geodesy Applications)
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20 pages, 6169 KiB  
Article
Research on ELoran Demodulation Algorithm Based on Multiclass Support Vector Machine
by Shiyao Liu, Baorong Yan, Wei Guo, Yu Hua, Shougang Zhang, Jun Lu, Lu Xu and Dong Yang
Remote Sens. 2024, 16(17), 3349; https://doi.org/10.3390/rs16173349 - 9 Sep 2024
Cited by 3 | Viewed by 1556
Abstract
Demodulation and decoding are pivotal for the eLoran system’s timing and information transmission capabilities. This paper proposes a novel demodulation algorithm leveraging a multiclass support vector machine (MSVM) for pulse position modulation (PPM) of eLoran signals. Firstly, the existing demodulation method based on [...] Read more.
Demodulation and decoding are pivotal for the eLoran system’s timing and information transmission capabilities. This paper proposes a novel demodulation algorithm leveraging a multiclass support vector machine (MSVM) for pulse position modulation (PPM) of eLoran signals. Firstly, the existing demodulation method based on envelope phase detection (EPD) technology is reviewed, highlighting its limitations. Secondly, a detailed exposition of the MSVM algorithm is presented, demonstrating its theoretical foundations and comparative advantages over the traditional method and several other methods proposed in this study. Subsequently, through comprehensive experiments, the algorithm parameters are optimized, and the parallel comparison of different demodulation methods is carried out in various complex environments. The test results show that the MSVM algorithm is significantly superior to traditional methods and other kinds of machine learning algorithms in demodulation accuracy and stability, particularly in high-noise and -interference scenarios. This innovative algorithm not only broadens the design approach for eLoran receivers but also fully meets the high-precision timing service requirements of the eLoran system. Full article
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13 pages, 13923 KiB  
Communication
Design and Performance Evaluation of eLoran Monitoring System
by Chaozhong Yang, Xiaohang Guo, Shifeng Li and Zhaopeng Hu
Appl. Sci. 2024, 14(16), 7350; https://doi.org/10.3390/app14167350 - 20 Aug 2024
Viewed by 1089
Abstract
The monitoring system is one of the indispensable components of the eLoran system, which can monitor the reliability and integrity of the eLoran system. In this paper, an eLoran monitoring system is designed based on the BPL time service system, and an integrity [...] Read more.
The monitoring system is one of the indispensable components of the eLoran system, which can monitor the reliability and integrity of the eLoran system. In this paper, an eLoran monitoring system is designed based on the BPL time service system, and an integrity monitoring method based on the receiver time difference prediction model is designed according to the stability and accuracy of the receiver time difference. The deviation between the solved time difference and the predicted time difference is utilized to assist in integrity monitoring at the user’s end. And the test results show that the monitoring system can effectively determine the signal quality and system health of the eLoran system and provide early warning service for the system performance. Full article
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24 pages, 29740 KiB  
Article
Research on eLoran Weak Signal Extraction Based on Wavelet Hard Thresholding Processing
by Langlang Cheng, Shougang Zhang, Zhen Qi, Xin Wang, Yingming Chen and Ping Feng
Remote Sens. 2024, 16(16), 3012; https://doi.org/10.3390/rs16163012 - 16 Aug 2024
Cited by 4 | Viewed by 1160
Abstract
As the eLoran signal propagates, its strength gradually diminishes with increasing distance, making subsequent signal capture and terminal development challenging. To address this phenomenon, this paper proposes an improved method based on wavelet hard thresholding. This method applies hierarchical processing to the coefficients [...] Read more.
As the eLoran signal propagates, its strength gradually diminishes with increasing distance, making subsequent signal capture and terminal development challenging. To address this phenomenon, this paper proposes an improved method based on wavelet hard thresholding. This method applies hierarchical processing to the coefficients obtained after wavelet decomposition, based on the signal’s center frequency. It effectively addresses issues like the disappearance of trailing edges and the presence of the noise with large coefficients. Simulation results show that the improved method has the largest output signal-to-noise ratio and effectively improves the problem of tailing vanishing and eliminates the noise with large coefficients. In analog source signal testing, the results show that the method can extract signals of 30 dBμv/m and above well. In actual signal testing, the improved method can extract eLoran signals transmitted over a distance of approximately 1000 km. Based on the results, it can be deduced that the input signal-to-noise ratio is −28.8 dB. Therefore, this method is a suitable and effective solution for extracting weak eLoran signals, providing strong support for signal monitoring in areas at the coverage boundaries of eLoran signals. Full article
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12 pages, 3248 KiB  
Article
Timing Performance Testing and Regularity Analysis of eLoran System
by Jianchen Di, Jun Fu, Bing Xu, Miao Wu, Liang Liu and Xianzhou Jin
Appl. Sci. 2024, 14(15), 6580; https://doi.org/10.3390/app14156580 - 27 Jul 2024
Cited by 1 | Viewed by 1239
Abstract
Accurate time synchronisation is critical in modern communication, navigation, and scientific research. In this context, the eLoran receiver, which is an advanced timing device, has attracted increasing scholarly attention. This study aims to comprehensively analyse the performance and potential applications of eLoran systems [...] Read more.
Accurate time synchronisation is critical in modern communication, navigation, and scientific research. In this context, the eLoran receiver, which is an advanced timing device, has attracted increasing scholarly attention. This study aims to comprehensively analyse the performance and potential applications of eLoran systems for timing monitoring and to specifically explore the relevant indices of two eLoran receivers. To this end, we evaluated the performance of these receivers in receiving time signals through both simulated and empirical data and conducted a regularity analysis to uncover their potential value in practical applications. The findings demonstrate that the eLoran receiver excels at timing monitoring and provides highly accurate time information. An analysis of the timing performance of the eLoran system improved its accuracy and integrity. Full article
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
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13 pages, 5213 KiB  
Communication
Analysis of the Development Status of eLoran Time Service System in China
by Chaozhong Yang, Shifeng Li and Zhaopeng Hu
Appl. Sci. 2023, 13(23), 12703; https://doi.org/10.3390/app132312703 - 27 Nov 2023
Cited by 3 | Viewed by 3781
Abstract
This article introduces the eLoran timing system principle, the characteristics of the eLoran and GNSS systems, and the current development status of eLoran in China. This article elaborates on the significance and scale of this high-precision ground time service system currently being constructed [...] Read more.
This article introduces the eLoran timing system principle, the characteristics of the eLoran and GNSS systems, and the current development status of eLoran in China. This article elaborates on the significance and scale of this high-precision ground time service system currently being constructed in China and describes the technical methods used in the high-precision ground time service system. Finally, it analyzes and elaborates on the signal and data channels of the eLoran time service system. Full article
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20 pages, 5110 KiB  
Article
An eLoran Signal Cycle Identification Method Based on Joint Time–Frequency Domain
by Wenhe Yan, Ming Dong, Shifeng Li, Chaozhong Yang, Jiangbin Yuan, Zhaopeng Hu and Yu Hua
Remote Sens. 2022, 14(2), 250; https://doi.org/10.3390/rs14020250 - 6 Jan 2022
Cited by 17 | Viewed by 4716
Abstract
The eLoran system is an international standardized positioning, navigation, and timing service system, which can complement global navigation satellite systems to cope with navigation and timing warfare. The eLoran receiver measures time-of-arrival (TOA) through cycle identification, which is key in determining timing and [...] Read more.
The eLoran system is an international standardized positioning, navigation, and timing service system, which can complement global navigation satellite systems to cope with navigation and timing warfare. The eLoran receiver measures time-of-arrival (TOA) through cycle identification, which is key in determining timing and positioning accuracy. However, noise and skywave interference can cause cycle identification errors, resulting in TOA-measurement errors that are integral multiples of 10 μs. Therefore, this article proposes a cycle identification method in the joint time–frequency domain. Based on the spectrum-division method to determine the cycle identification range, the time–domain peak-to-peak ratio and waveform matching are used for accurate cycle identification. The performance of the method is analyzed via simulation. When the signal-to-noise ratio (SNR) ≥ 0 dB and skywave-to-groundwave ratio (SGR) ≤ 23 dB, the success rate of cycle identification is 100%; when SNR ≥ −13 dB and SGR ≤ 23 dB, the success rate exceeds 75%. To verify its practicability, the method was implemented in the eLoran receiver and tested at three test sites within 1000 km using actual signals emitted by an eLoran system. The results show that the method has a high identification probability and can be used in modern eLoran receivers to improve TOA-measurement accuracy. Full article
(This article belongs to the Special Issue Remote Sensing in Navigation: State-of-the-Art)
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12 pages, 2299 KiB  
Article
Application of Ultra Narrow Band Modulation in Enhanced Loran System
by Boyun Lyu, Yu Hua, Jiangbin Yuan and Shifeng Li
Sensors 2021, 21(13), 4347; https://doi.org/10.3390/s21134347 - 25 Jun 2021
Cited by 5 | Viewed by 2064
Abstract
The Enhanced Loran (eLoran) system is valued for its important role in the positioning, navigation, and timing fields; however, with its current modulation methods, low data rate restricts its development. Ultra narrow band (UNB) modulation is a modulation method with extremely high spectrum [...] Read more.
The Enhanced Loran (eLoran) system is valued for its important role in the positioning, navigation, and timing fields; however, with its current modulation methods, low data rate restricts its development. Ultra narrow band (UNB) modulation is a modulation method with extremely high spectrum utilization. If UNB modulation can be applied to the eLoran system, it will be very helpful. The extended binary phase shift keying modulation in UNB modulation is selected for a detailed study, parameters and application model are designed according to its unique characteristics of signal time and frequency domains, and it is verified through simulation that the application of this modulation not only meets the design constraints of the eLoran system but also does not affect the reception of the respective signals of both parties. Several feasible schemes are compared, analyzed, and selected. Studies have revealed that application of UNB modulation in the eLoran system is feasible, and it will increase the data rate of the system by dozens of times. Full article
(This article belongs to the Section Communications)
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14 pages, 5038 KiB  
Letter
Research on the eLoran Differential Timing Method
by Yun Li, Yu Hua, Baorong Yan and Wei Guo
Sensors 2020, 20(22), 6518; https://doi.org/10.3390/s20226518 - 14 Nov 2020
Cited by 22 | Viewed by 3314
Abstract
An enhanced long-range navigation (eLoran) system was selected as the backup of Global Navigation Satellite Systems (GNSS), and experts and scholars are committed to improving the accuracy of the eLoran system such that its accuracy is close to the GNSS system. A differential [...] Read more.
An enhanced long-range navigation (eLoran) system was selected as the backup of Global Navigation Satellite Systems (GNSS), and experts and scholars are committed to improving the accuracy of the eLoran system such that its accuracy is close to the GNSS system. A differential method called eLoran differential timing technology is applied to the eLoran system, which has been used in maritime applications of eLoran. In this study, an application of eLoran differential timing technology in a terrestrial medium is carried out. Based on the eLoran timing service error, the correlation of the timing service error is analyzed in theory quantitatively to obtain the range of the difference station in the ground. The results show that to satisfy the timing accuracy of 100 ns, the action range of eLoran difference station on the land needs to be less than 55 km. Therefore, the eLoran differential method is proposed, and in the difference station, the theoretical calculation is combined with the measurement of the signal delay to obtain the difference information, which is sent to the users to adjust the prediction delay and improve the eLoran timing precision. The experiment was carried out in the Guan Zhong Plain, and the timing error of the user decreased from 394.7287 ns (pre-difference) to 19.5890 ns (post-difference). The proposed method is found to effectively enhance the timing precision of the eLoran system within the scope of action. Full article
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12 pages, 3728 KiB  
Letter
Experimental Study of a Signal Modulation Method to Improve eLORAN Data Channel Communications
by Chaozhong Yang, Yulin Wang, Shifeng Li and Wenhe Yan
Sensors 2020, 20(22), 6504; https://doi.org/10.3390/s20226504 - 14 Nov 2020
Cited by 8 | Viewed by 2809
Abstract
There are mainly two types of data modulation methods used for enhanced LOng-RAnge Navigation (eLORAN) systems: pulse position modulation (PPM) and supernumerary interpulse modulation (SIM). The typical application for PPM is tri-state PPM (3S-PPM), also known as Eurofix. The typical application for SIM [...] Read more.
There are mainly two types of data modulation methods used for enhanced LOng-RAnge Navigation (eLORAN) systems: pulse position modulation (PPM) and supernumerary interpulse modulation (SIM). The typical application for PPM is tri-state PPM (3S-PPM), also known as Eurofix. The typical application for SIM is ninth pulse modulation. Both of these methods are phase modulation methods. Phase modulation coding, a very mature technology, is used at present. To achieve a better demodulation success rate of eLORAN digital modulation signals at longer distances, a method of using the transmitting station duplex mode to transmit a digital modulation pulse group after LORAN-C transmitting a pulse group is proposed to realize modulation pulse on–off modulation. In this method, a broadcasting experiment was performed on the BPL (The call sign of eLORAN time service system in China) broadcaster station. After monitoring, a good receiving demodulation effect was initially obtained. Full article
(This article belongs to the Section Communications)
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