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Search Results (173)

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Keywords = LOS/NLOS

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21 pages, 5929 KiB  
Article
Improved Kalman Filtering Algorithm Based on Levenberg–Marquart Algorithm in Ultra-Wideband Indoor Positioning
by Changping Xie, Xinjian Fang and Xu Yang
Sensors 2024, 24(22), 7213; https://doi.org/10.3390/s24227213 - 11 Nov 2024
Viewed by 388
Abstract
To improve the current indoor positioning algorithms, which have insufficient positioning accuracy, an ultra-wideband (UWB) positioning algorithm based on the Levenberg–Marquardt algorithm with improved Kalman filtering is proposed. An alternative double-sided two-way ranging (ADS-TWR) algorithm is used to obtain the distance from the [...] Read more.
To improve the current indoor positioning algorithms, which have insufficient positioning accuracy, an ultra-wideband (UWB) positioning algorithm based on the Levenberg–Marquardt algorithm with improved Kalman filtering is proposed. An alternative double-sided two-way ranging (ADS-TWR) algorithm is used to obtain the distance from the UWB tag to each base station and calculate the initial position of the tag by the least squares method. The Levenberg–Marquardt algorithm is used to correct the covariance matrix of the Kalman filter, and the improved Kalman filtering algorithm is used to filter the initial position to obtain the final position of the tag. The feasibility and effectiveness of the algorithm are verified by MATLAB simulation. Finally, the UWB positioning system is constructed, and the improved Kalman filter algorithm is experimentally verified in LOS and NLOS environments. The average X-axis and the Y-axis positioning errors in the LOS environment are 6.9 mm and 5.4 mm, respectively, with a root mean square error of 10.8 mm. The average positioning errors for the X-axis and Y-axis in the NLOS environment are 20.8 mm and 18.0 mm, respectively, while the root mean square error is 28.9 mm. The experimental results show that the improved algorithm has high accuracy and good stability. At the same time, it can effectively improve the convergence speed of the Kalman filter. Full article
(This article belongs to the Section Navigation and Positioning)
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<p>Schematic diagram of the asymmetric bidirectional bilateral ranking algorithm.</p>
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<p>Flowchart of the model.</p>
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<p>Simulated positioning results of different algorithms.</p>
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<p>(<b>a</b>) Comparison of the X-axis error; (<b>b</b>) comparison of the Y-axis error.</p>
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<p>Location performance of the five algorithms under different noise levels.</p>
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<p>(<b>a</b>) UWB positioning base station; (<b>b</b>) UWB positioning tag.</p>
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<p>(<b>a</b>) Experimental setup diagram; (<b>b</b>) UWB base station and tag distribution.</p>
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<p>Positioning scatterplot in LOS environment.</p>
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<p>(<b>a</b>) X-axis error in LOS environment; (<b>b</b>) Y-axis error in LOS environment.</p>
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<p>UWB base station and tag distribution map in NLOS environment.</p>
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<p>Scatter plot of localization in NLOS environment.</p>
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<p>(<b>a</b>) X-axis error in NLOS environment; (<b>b</b>) Y-axis error in NLOS environment.</p>
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21 pages, 4139 KiB  
Article
Bias and Deviation Map-Based Weighted Graph Search for NLOS Indoor RTLS Calibration
by Jeong-Ho Kim, Hyun-Gi An, Nobuyoshi Komuro and Won-Suk Kim
Electronics 2024, 13(20), 3993; https://doi.org/10.3390/electronics13203993 - 11 Oct 2024
Viewed by 5402
Abstract
Recently, UWB-based technology providing centimeter-level accuracy has been developed and widely utilized in indoor real-time location tracking systems. However, location accuracy varies due to factors such as frequency interference, collisions, reflected signals, and whether line-of-sight (LOS) conditions are met, and it can be [...] Read more.
Recently, UWB-based technology providing centimeter-level accuracy has been developed and widely utilized in indoor real-time location tracking systems. However, location accuracy varies due to factors such as frequency interference, collisions, reflected signals, and whether line-of-sight (LOS) conditions are met, and it can be challenging to ensure high accuracy in specific environments. Fortunately, when anchor positions are fixed, the locations of large obstacles such as columns or furniture remain relatively stable, leading to similar patterns of positioning bias at specific points. This study proposes an algorithm that corrects inaccurate positioning to more closely reflect the actual location based on bias and deviation maps generated using natural neighbor interpolation. Initially, positioning bias and deviations at specific points are sampled, and bias and deviation maps are created using natural neighbor interpolation. During location tracking, the algorithm detects candidate clusters and determines the centroid to estimate the actual location by applying the bias and deviation maps to the measured positions derived through trilateration. To validate the proposed algorithm, experiments were conducted in a non-LOS (NLOS) indoor environment. The results demonstrate that the proposed algorithm can reduce the positioning bias of a UWB-based RTLS by approximately 71.34% compared to an uncalibrated system. Full article
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<p>Example of Voronoi diagram: (<b>a</b>) Voronoi cells with 9 sites (black dots); (<b>b</b>) New Voronoi cell (white area with red dot).</p>
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<p>Flow chart of candidate cluster determination and positioning calibration algorithm based on weighted graph search.</p>
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<p>Example of Bias map before and after interpolation with NNI.</p>
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<p>Example of deviation map before and after interpolation with NNI.</p>
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<p>Example of working process of the proposed technique: (<b>a</b>) RAW position data before starting the proposed algorithm; (<b>b</b>) Set a starting point for searching candidates; (<b>c</b>) Ongoing candidate cluster search process based on weighted graph search; (<b>d</b>) Successful candidate search and completion of weighted graph search; (<b>e</b>) Establishment of candidate group using bfs; (<b>f</b>) Search Completion and Correction Results.</p>
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<p>Experimental environment for the proposed technique.</p>
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<p>Bias map (<b>left</b>) and deviation map (<b>right</b>) configured in the environment in <a href="#electronics-13-03993-f005" class="html-fig">Figure 5</a>.</p>
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<p>Bias and standard deviation for each technique across 50 measurements.</p>
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<p>Distribution of results for each technique across 50 measurements.</p>
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<p>Bias and standard deviation for each technique across 10 measurements.</p>
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<p>Distribution of results for each technique across 10 measurements.</p>
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26 pages, 6355 KiB  
Article
Improving Non-Line-of-Sight Identification in Cellular Positioning Systems Using a Deep Autoencoding and Generative Adversarial Network Model
by Yanbiao Gao, Zhongliang Deng, Yuqi Huo and Wenyan Chen
Sensors 2024, 24(19), 6494; https://doi.org/10.3390/s24196494 - 9 Oct 2024
Viewed by 962
Abstract
Positioning service is a critical technology that bridges the physical world with digital information, significantly enhancing efficiency and convenience in life and work. The evolution of 5G technology has proven that positioning services are integral components of current and future cellular networks. However, [...] Read more.
Positioning service is a critical technology that bridges the physical world with digital information, significantly enhancing efficiency and convenience in life and work. The evolution of 5G technology has proven that positioning services are integral components of current and future cellular networks. However, positioning accuracy is hindered by non-line-of-sight (NLoS) propagation, which severely affects the measurements of angles and delays. In this study, we introduced a deep autoencoding channel transform-generative adversarial network model that utilizes line-of-sight (LoS) samples as a singular category training set to fully extract the latent features of LoS, ultimately employing a discriminator as an NLoS identifier. We validated the proposed model in 5G indoor and indoor factory (dense clutter, low base station) scenarios by assessing its generalization capability across different scenarios. The results indicate that, compared to the state-of-the-art method, the proposed model markedly diminished the utilization of device resources and achieved a 2.15% higher area under the curve while reducing computing time by 12.6%. This approach holds promise for deployment in future positioning terminals to achieve superior localization precision, catering to commercial and industrial Internet of Things applications. Full article
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<p>Possible modes of signal propagation.</p>
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<p>UPA with antenna panels, each consisting of one single polarized antenna element. The arrived signal’s AoA is decomposed into azimuth and elevation angles.</p>
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<p>Structure of the proposed Deep Autoencoding Channel-Transformed Generative Adversarial Network (DACT-GAN) and components of the loss function to be computed.</p>
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<p>Indoor scenario depicting the distribution of 12 BSs.</p>
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<p>Indoor factory (dense clutter, low BS) scenario depicting the distribution of 18 BSs.</p>
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<p>Comparative effects of different data normalization techniques on model training efficacy.</p>
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<p>Violin plots comparing the training accuracies of DACT-GAN across different batch size <span class="html-italic">B</span> with the mean training accuracy for each batch size <span class="html-italic">B</span>.</p>
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<p>Heatmap of accuracy with label smoothing applied at different thresholds for G and D.</p>
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<p>Three-dimensional bar chart showing the effect of early stopping on DACT-GAN accuracy across various loss thresholds for <span class="html-italic">G</span> and <span class="html-italic">D</span>.</p>
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<p>Classification of NLoS and LoS after 20 epochs of training with different values of h of AE-KDE.</p>
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17 pages, 3617 KiB  
Article
Investigations on Millimeter-Wave Indoor Channel Simulations for 5G Networks
by Huthaifa Obeidat
Appl. Sci. 2024, 14(19), 8972; https://doi.org/10.3390/app14198972 - 5 Oct 2024
Viewed by 677
Abstract
Due to the extensively accessible bandwidth of many tens of GHz, millimeter-wave (mmWave) and sub-terahertz (THz) frequencies are anticipated to play a significant role in 5G and 6G wireless networks and beyond. This paper presents investigations on mmWave bands within the indoor environment [...] Read more.
Due to the extensively accessible bandwidth of many tens of GHz, millimeter-wave (mmWave) and sub-terahertz (THz) frequencies are anticipated to play a significant role in 5G and 6G wireless networks and beyond. This paper presents investigations on mmWave bands within the indoor environment based on extensive simulations; the study considers the behavior of the omnidirectional and directional propagation characteristics, including path loss exponents (PLE) delay spread (DS), the number of clusters, and the number of rays per cluster at different frequencies (28 GHz, 39 GHz, 60 GHz and 73 GHz) in both line-of-sight (LOS) and non-LOS (NLOS) propagation scenarios. This study finds that the PLE and DS show dependency on frequency; it was also found that, in NLOS scenarios, the number of clusters follows a Poisson distribution, while, in LOS, it follows a decaying exponential distribution. This study enhances understanding of the indoor channel behavior at different frequency bands within the same environment, as many research papers focus on single or two bands; this paper considers four frequency bands. The simulation is important as it provides insights into omnidirectional channel behavior at different frequencies, essential for indoor channel planning. Full article
(This article belongs to the Special Issue 5G and Beyond: Technologies and Communications)
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<p>The simulated environment for the 3rd floor in the Chesham building, University of Bradford.</p>
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<p>Strongest propagation paths for the LOS experiment at 60 GHz.</p>
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<p>Single-frequency PL model at 39 GHz using (<b>a</b>) omnidirectional antenna, (<b>b</b>) directional–omnidirectional antenna, and (<b>c</b>) directional antenna. Red points represent NLOS data and blue points represent LOS data.</p>
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<p>RSS vs. distance at an NLOS scenario at 39 GHz using a directional and omnidirectional antenna.</p>
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<p>CDF plot of RMS-DS for NLOS scenarios for Dir–Dir (dotted dashed lines) and Omni–Omni (solid lines) antenna radiations.</p>
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<p>CDF plot of RMS-DS for LOS scenarios for Dir–Dir (dotted dashed lines) and Omni–Omni (solid lines) antenna radiations.</p>
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<p>Number of ray clusters for NLOS propagations scenarios: (<b>a</b>) Omni–Omni, (<b>b</b>) Dir–Dir, and (<b>c</b>) Dir–Omni.</p>
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<p>Number of rays/cluster for NLOS: (<b>a</b>) Omni–Omni, (<b>b</b>) Dir–Dir, and (<b>c</b>) Dir–Omni.</p>
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<p>Number of ray clusters in LOS propagation scenarios: (<b>a</b>) Omni–Omni, (<b>b</b>) Dir–Dir, and (<b>c</b>) Dir–Omni.</p>
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<p>Number of rays/cluster for LOS: (<b>a</b>) Omni–Omni, (<b>b</b>) Dir–Dir, and (<b>c</b>) Dir–Omni.</p>
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<p>Arrival times of paths at a receiver point.</p>
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<p>Penetration loss through a concrete wall.</p>
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13 pages, 663 KiB  
Article
Joint Constellation and Reflectance Optimization for Tunable Intelligent Reflecting Surface-Aided VLC Systems
by Linqiong Jia, Qikai Wang and Yijin Zhang
Photonics 2024, 11(9), 840; https://doi.org/10.3390/photonics11090840 - 5 Sep 2024
Viewed by 480
Abstract
The intelligent reflecting surface (IRS) is an emerging technology that can conquer visible light communication’s (VLC) dependency on the line-of-sight (LoS) channel by offering additional non-light-of-sight (NLoS) communication links. In this paper, a newly proposed electro-tunable intelligent reflecting metasurface is deployed in dimmable [...] Read more.
The intelligent reflecting surface (IRS) is an emerging technology that can conquer visible light communication’s (VLC) dependency on the line-of-sight (LoS) channel by offering additional non-light-of-sight (NLoS) communication links. In this paper, a newly proposed electro-tunable intelligent reflecting metasurface is deployed in dimmable single-input single-output (SISO) VLC systems. We aim to improve the bit error rate (BER) performance by jointly optimizing the transmit constellation and the reflectance of the IRS units. To this end, the optimization problem can be solved in two steps. The minimum distance of the received constellation is firstly maximized by a convex problem, which guarantees the minimum BER. Then, the transmit constellation and the synchronously-tunable reflectance of the IRS units that correspond to the optimal received constellation are determined with an iterative alternate optimization algorithm. Finally, the simulation results show the BER performance improvement and the dimming relaxation benefit of the tunable IRS-aided SISO VLC systems. Full article
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<p>A tunable IRS-aided SISO VLC System.</p>
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<p>The channel gain distribution for point-to-point VLC systems.</p>
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<p>Channel gain distribution for IRS-aided VLC system.</p>
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<p>Comparison of the BER performance with and without the IRS for <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>.</p>
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<p>BER performance with the optimized constellation and reflectances for <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>=</mo> <mn>0.3</mn> <mo>,</mo> <mn>0.5</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mn>0.7</mn> </mrow> </semantics></math>.</p>
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<p>BER performance versus varying <math display="inline"><semantics> <mi>ξ</mi> </semantics></math> for 8PAM.</p>
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<p>The 4-PAM constellations for 16 IRS-aided VLC systems when <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>=</mo> <mn>0.3</mn> </mrow> </semantics></math>.</p>
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<p>The 4-PAM constellations for 16 IRS-aided VLC systems when <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>=</mo> <mn>0.7</mn> </mrow> </semantics></math>.</p>
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21 pages, 7239 KiB  
Article
UVIO: Adaptive Kalman Filtering UWB-Aided Visual-Inertial SLAM System for Complex Indoor Environments
by Junxi Li, Shouwen Wang, Jiahui Hao, Biao Ma and Henry K. Chu
Remote Sens. 2024, 16(17), 3245; https://doi.org/10.3390/rs16173245 - 1 Sep 2024
Viewed by 1299
Abstract
Precise positioning in an indoor environment is a challenging task because it is difficult to receive a strong and reliable global positioning system (GPS) signal. For existing wireless indoor positioning methods, ultra-wideband (UWB) has become more popular because of its low energy consumption [...] Read more.
Precise positioning in an indoor environment is a challenging task because it is difficult to receive a strong and reliable global positioning system (GPS) signal. For existing wireless indoor positioning methods, ultra-wideband (UWB) has become more popular because of its low energy consumption and high interference immunity. Nevertheless, factors such as indoor non-line-of-sight (NLOS) obstructions can still lead to large errors or fluctuations in the measurement data. In this paper, we propose a fusion method based on ultra-wideband (UWB), inertial measurement unit (IMU), and visual simultaneous localization and mapping (V-SLAM) to achieve high accuracy and robustness in tracking a mobile robot in a complex indoor environment. Specifically, we first focus on the identification and correction between line-of-sight (LOS) and non-line-of-sight (NLOS) UWB signals. The distance evaluated from UWB is first processed by an adaptive Kalman filter with IMU signals for pose estimation, where a new noise covariance matrix using the received signal strength indicator (RSSI) and estimation of precision (EOP) is proposed to reduce the effect due to NLOS. After that, the corrected UWB estimation is tightly integrated with IMU and visual SLAM through factor graph optimization (FGO) to further refine the pose estimation. The experimental results show that, compared with single or dual positioning systems, the proposed fusion method provides significant improvements in positioning accuracy in a complex indoor environment. Full article
(This article belongs to the Section Engineering Remote Sensing)
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<p>Positional relationship between the anchors and the tag.</p>
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<p>TWR ranging principle.</p>
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<p>Trajectories of the three methods: OLS (green), GN (blue), LM (red).</p>
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<p>The UWB/IMU and binocular VIO data fusion system structure designed.</p>
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<p>Time series of the RSSI value (green) and the NLLM method error (red).</p>
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<p>Error measurements for the UI-KF (green/no feedback) and UI-AKF (red/RSSI feedback).</p>
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<p>Remote platform and experiment scene.</p>
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<p>Comparison between NLLM/UIAKF and ground truth (LOS scene).</p>
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<p>Comparison between NLLM/UIAKF and ground truth (NLOS scene).</p>
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<p>Framework of the FGO-based UWB/IMU and visual-SLAM tightly coupled integrated system.</p>
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<p>LOS/NLOS trajectories of the five methods in 3D: NLLM (Green), UIAKF (Orange), VINS-Fusion (Black), UIKF-VINS-FGO (Yellow), UIAKF-VINS-FGO (Red), ground truth (Blue).</p>
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<p>LOS/NLOS trajectories of the five methods in 2D: NLLM (Green), UIAKF (Orange), VINS-Fusion (Black), UIKF-VINS-FGO (Yellow), UIAKF-VINS-FGO (Red), ground truth (Blue).</p>
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23 pages, 7568 KiB  
Article
1D-CLANet: A Novel Network for NLoS Classification in UWB Indoor Positioning System
by Qiu Wang, Mingsong Chen, Jiajie Liu, Yongcheng Lin, Kai Li, Xin Yan and Chizhou Zhang
Appl. Sci. 2024, 14(17), 7609; https://doi.org/10.3390/app14177609 - 28 Aug 2024
Cited by 1 | Viewed by 831
Abstract
Ultra-Wideband (UWB) technology is crucial for indoor localization systems due to its high accuracy and robustness in multipath environments. However, Non-Line-of-Sight (NLoS) conditions can cause UWB signal distortion, significantly reducing positioning accuracy. Thus, distinguishing between NLoS and LoS scenarios and mitigating positioning errors [...] Read more.
Ultra-Wideband (UWB) technology is crucial for indoor localization systems due to its high accuracy and robustness in multipath environments. However, Non-Line-of-Sight (NLoS) conditions can cause UWB signal distortion, significantly reducing positioning accuracy. Thus, distinguishing between NLoS and LoS scenarios and mitigating positioning errors is crucial for enhancing UWB system performance. This research proposes a novel 1D-ConvLSTM-Attention network (1D-CLANet) for extracting UWB temporal channel impulse response (CIR) features and identifying NLoS scenarios. The model combines the convolutional neural network (CNN) and Long Short-Term memory (LSTM) architectures to extract temporal CIR features and introduces the Squeeze-and-Excitation (SE) attention mechanism to enhance critical features. Integrating SE attention with LSTM outputs boosts the model’s ability to differentiate between various NLoS categories. Experimental results show that the proposed 1D-CLANet with SE attention achieves superior performance in differentiating multiple NLoS scenarios with limited computational resources, attaining an accuracy of 95.58%. It outperforms other attention mechanisms and the version of 1D-CLANet without attention. Compared to advanced methods, the SE-enhanced 1D-CLANet significantly improves the ability to distinguish between LoS and similar NLoS scenarios, such as human obstructions, enhancing overall recognition accuracy in complex environments. Full article
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
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<p>Example of NLoS and LoS propagation in a UWB IPS.</p>
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<p>Example of a trilateration-based 3-anchor positioning model: (<b>a</b>) positioning under LoS conditions, (<b>b</b>) positioning under NLoS conditions.</p>
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<p>CIR curve from typical (<b>a</b>) LoS, (<b>b</b>) other NLoS scenarios.</p>
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<p>The network structure diagram of 1D-CLANet.</p>
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<p>The structure diagram of 1D-CNN.</p>
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<p>The architecture of a LSTM cell.</p>
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<p>The architecture of SE attention block.</p>
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<p>Instruments and experimental environment. The anchor point (“<math display="inline"><semantics> <mo>Δ</mo> </semantics></math>”) and tag (“<math display="inline"><semantics> <mo>□</mo> </semantics></math>”) are positioned as shown. LoS ranging positions are shown in blue and NLoS ranging positions are shown in red. (<b>a</b>) Stairway passage, (<b>b</b>) office corridor.</p>
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<p>Explanation of network structures: (<b>a</b>) CNSM, (<b>b</b>) ResNet without ECA.</p>
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<p>ROC curve for different methods in NLoS binary classification.</p>
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<p>Performance comparison of different methods for NLoS multi-classification.</p>
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<p>Confusion matrix outcomes for multiclassification. The Sce.1, Sce.2, Sce.3, Sce.4, and Sce.5 correspond to LoS, human, glass, door, and wall, respectively. (<b>a</b>) LSTM. (<b>b</b>) SVM. (<b>c</b>) HQCNN. (<b>d</b>) MLP. (<b>e</b>) CNSM. (<b>f</b>) 1D-CLANet.</p>
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24 pages, 5902 KiB  
Article
Modeling and Performance Study of Vehicle-to-Infrastructure Visible Light Communication System for Mountain Roads
by Wei Yang, Haoran Liu and Guangpeng Cheng
Sensors 2024, 24(17), 5541; https://doi.org/10.3390/s24175541 - 27 Aug 2024
Viewed by 871
Abstract
Visible light communication (VLC) is considered to be a promising technology for realizing intelligent transportation systems (ITSs) and solving traffic safety problems. Due to the complex and changing environment and the influence of weather and other aspects, there are many problems in channel [...] Read more.
Visible light communication (VLC) is considered to be a promising technology for realizing intelligent transportation systems (ITSs) and solving traffic safety problems. Due to the complex and changing environment and the influence of weather and other aspects, there are many problems in channel modeling and performance analysis of vehicular VLC. Unlike existing studies, this study proposes a practical vehicle-to-infrastructure (V2I) VLC propagation model for a typical mountain road. The model consists of both line-of-sight (LOS) and non-line-of-sight (NLOS) links. In the proposed model, the effects of vehicle mobility and weather conditions are considered. To analyze the impact of the considered propagation characteristics on the system, closed-form expressions for several performance metrics were derived, including average path loss, received power, channel capacity, and outage probability. Furthermore, to verify the accuracy of the derived theoretical expressions, simulation results were presented and analyzed in detail. The results indicate that, considering the LOS link and when the vehicle is 50 m away from the infrastructure, the difference in channel gain between moderate fog and dense fog versus clear weather conditions is 1.8 dB and 3 dB, respectively. In addition, the maximum difference in total received optical power between dense fog conditions and clear weather conditions can reach 76.2%. Moreover, under clear weather conditions, the channel capacity when vehicles are 40 m away from infrastructure is about 98.9% lower than when they are 10 m away. Additionally, the outage probability shows a high correlation with the threshold data transmission rate. Therefore, the considered propagation characteristics have a significant impact on the performance of V2I–VLC. Full article
(This article belongs to the Section Vehicular Sensing)
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<p>Schematic of a typical mountain road V2I–VLC communication scenario.</p>
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<p>Schematic of V2I–VLC system model for LOS scenario.</p>
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<p>Schematic of V2I–VLC system model for NLOS scenario.</p>
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<p>Schematic model of the V2I–VLC system in the NLOS scenario formed by <span class="html-italic">M</span> reflection.</p>
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<p>Schematic model of the V2I–VLC system in the NLOS scenario formed by <span class="html-italic">RS</span> reflection.</p>
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<p>Average path loss of (<b>a</b>) LOS link; (<b>b</b>) NLOS-M link; (<b>c</b>) NLOS-RS link under different weather conditions [(−) sign in the path loss value indicates that the path loss is in the form of a penalty].</p>
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<p>Average path loss corresponding to the proposed V2I–VLC propagation model under fog weather conditions.</p>
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<p>Received optical power corresponding to the proposed V2I–VLC propagation model under moderate fog conditions.</p>
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<p>Total received optical power corresponding to the proposed V2I–VLC propagation model under different weather conditions.</p>
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<p>Channel capacity corresponding to the proposed V2I–VLC propagation model for different weather conditions.</p>
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<p>Outage probability for different weather conditions with threshold data transfer rates of (<b>a</b>) 200 kb/s and (<b>b</b>) 500 kb/s.</p>
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19 pages, 9203 KiB  
Article
An Enhanced Collaborative Localization Method Based on Belief Propagation Aided by 3D Terrain Modelling
by Rong Wang, Weicheng Zhao, Zhi Xiong and Xiaoyi Chen
Remote Sens. 2024, 16(16), 3042; https://doi.org/10.3390/rs16163042 - 19 Aug 2024
Viewed by 556
Abstract
Navigation system performance degrades significantly in complex environments. It is important to analyze satellite visibility through 3D terrain modelling and separate the satellite signals propagated by NLOS to suppress the NLOS error. However, the traditional 3D terrain modelling visibility analysis method based on [...] Read more.
Navigation system performance degrades significantly in complex environments. It is important to analyze satellite visibility through 3D terrain modelling and separate the satellite signals propagated by NLOS to suppress the NLOS error. However, the traditional 3D terrain modelling visibility analysis method based on the pure terrain cover angle is only suitable for determining the visibility of GNSS satellites and may incorrectly separate LOS propagate measurement signals from members with low relative ranges and elevation angles under air–ground swarm conditions. To this end, this paper proposes a belief-propagating cooperative navigation method based on air–ground visibility analysis, which avoids mistakenly separating close-range LOS cooperative navigation signals by simultaneously considering the distances, elevation angles, and azimuths of the signal sources relative to the air–ground swarm members. The simulation shows that the cooperative navigation NLOS identification method based on air–ground visibility analysis proposed in this paper can more accurately realize the separation of NLOS signals under cooperative conditions than the traditional pure angular 3D terrain modelling visibility analysis method can, and the localization error of the members to be assisted is significantly reduced. Full article
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<p>Enhanced collaborative localization scheme based on air–ground visibility analysis.</p>
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<p>Traditional visibility prediction method.</p>
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<p>LOS signal ruled out by mistake.</p>
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<p>Diagram of the octree structure.</p>
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<p>Intersection of ray/octree maps.</p>
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<p>Intersection judgment in the case <math display="inline"><semantics> <mrow> <msubsup> <mi>t</mi> <mi>y</mi> <mi>m</mi> </msubsup> <mo>&lt;</mo> <msubsup> <mi>t</mi> <mi>x</mi> <mi>m</mi> </msubsup> </mrow> </semantics></math>.</p>
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<p>Intersection judgment in the case <math display="inline"><semantics> <mrow> <msubsup> <mi>t</mi> <mi>y</mi> <mi>m</mi> </msubsup> <mo>&gt;</mo> <msubsup> <mi>t</mi> <mi>x</mi> <mi>m</mi> </msubsup> </mrow> </semantics></math>.</p>
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<p>Elevation angle and azimuth of the signal transmitter.</p>
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<p>Air–ground swarm with heterogeneous observation information.</p>
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<p>Scenario 1 visibility judgment simulation.</p>
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<p>Scenario 2 visibility judgment simulation.</p>
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<p>Scenario 1 terrain-to-unmanned vehicle visible distance.</p>
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<p>Scenario 2 terrain-to-unmanned vehicle visible distance.</p>
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<p>Visualization of the simulation environment.</p>
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<p>Elevation angle of each member relative to unmanned vehicle 1.</p>
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<p>Azimuth of each member relative to unmanned vehicle 1.</p>
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<p>Distance of each air–ground member relative to unmanned vehicle 1.</p>
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<p>Number of satellites visible to unmanned vehicle 1.</p>
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<p>Unmanned vehicle 1 visible synergy membership.</p>
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<p>Three-dimensional environment and radar map of unmanned vehicle 1 at 450 s.</p>
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<p>UGV2 visibility, true distance to UGV1.</p>
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<p>UGV3 visibility, true distance to UGV1.</p>
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<p>Localization error under one reference member.</p>
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<p>Localization error under five reference members.</p>
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15 pages, 1235 KiB  
Article
A Low-Complexity Solution for Optimizing Binary Intelligent Reflecting Surfaces towards Wireless Communication
by Santosh A. Janawade , Prabu Krishnan , Krishnamoorthy Kandasamy , Shashank S. Holla , Karthik Rao  and Aditya Chandrasekar 
Future Internet 2024, 16(8), 272; https://doi.org/10.3390/fi16080272 - 30 Jul 2024
Viewed by 899
Abstract
Intelligent Reflecting Surfaces (IRSs) enable us to have a reconfigurable reflecting surface that can efficiently deflect the transmitted signal toward the receiver. The initial step in the IRS usually involves estimating the channel between a fixed transmitter and a stationary receiver. After estimating [...] Read more.
Intelligent Reflecting Surfaces (IRSs) enable us to have a reconfigurable reflecting surface that can efficiently deflect the transmitted signal toward the receiver. The initial step in the IRS usually involves estimating the channel between a fixed transmitter and a stationary receiver. After estimating the channel, the problem of finding the most optimal IRS configuration is non-convex, and involves a huge search in the solution space. In this work, we propose a novel and customized technique which efficiently estimates the channel and configures the IRS with fixed transmit power, restricting the IRS coefficients to {1,1}. The results from our approach are numerically compared with existing optimization techniques.The key features of the linear system model under consideration include a Reconfigurable Intelligent Surface (RIS) setup consisting of 4096 RIS elements arranged in a 64 × 64 element array; the distance from RIS to the access point measures 107 m. NLOS users are located around 40 m away from the RIS element and 100 m from the access point. The estimated variance of noise NC is 3.1614 × 1020. The proposed algorithm provides an overall data rate of 126.89 (MBits/s) for Line of Sight and 66.093 (MBits/s) for Non Line of Sight (NLOS) wireless communication. Full article
(This article belongs to the Section Smart System Infrastructure and Applications)
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<p>Model of an IRS.</p>
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<p>Reflecting surface horizontal and vertical index <math display="inline"><semantics> <mrow> <mn>64</mn> <mo>×</mo> <mn>64</mn> </mrow> </semantics></math> cell estimation.</p>
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<p>Mutual coupling plot at the center of the cell arrangement.</p>
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<p>Phase plot for the cell arrangement.</p>
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<p>Amplitude plot for the cell arrangement.</p>
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<p>The path loss of the reflected path.</p>
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<p>The convergence of the algorithm.</p>
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<p>Received signal power across all subcarriers. (<b>a</b>) LOS user with pilot transmission, (<b>b</b>) LOS user with optimized IRS configuration, (<b>c</b>) NLOS user with pilot transmission, (<b>d</b>) NLOS user with optimized IRS configuration.</p>
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<p>Rate improvements for different users.</p>
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17 pages, 4853 KiB  
Article
Enhancing UWB Indoor Positioning Accuracy through Improved Snake Search Algorithm for NLOS/LOS Signal Classification
by Fang Wang, Lingqiao Shui, Hai Tang and Zhe Wei
Sensors 2024, 24(15), 4917; https://doi.org/10.3390/s24154917 - 29 Jul 2024
Cited by 1 | Viewed by 882
Abstract
Non-line-of-sight (NLOS) errors significantly impact the accuracy of ultra-wideband (UWB) indoor positioning, posing a major barrier to its advancement. This study addresses the challenge of effectively distinguishing line-of-sight (LOS) from NLOS signals to enhance UWB positioning accuracy. Unlike existing research that focuses on [...] Read more.
Non-line-of-sight (NLOS) errors significantly impact the accuracy of ultra-wideband (UWB) indoor positioning, posing a major barrier to its advancement. This study addresses the challenge of effectively distinguishing line-of-sight (LOS) from NLOS signals to enhance UWB positioning accuracy. Unlike existing research that focuses on optimizing deep learning network structures, our approach emphasizes the optimization of model parameters. We introduce a chaotic map for the initialization of the population and integrate a subtraction-average-based optimizer with a dynamic exploration probability to enhance the Snake Search Algorithm (SSA). This improved SSA optimizes the initial weights and thresholds of backpropagation (BP) neural networks for signal classification. Comparative evaluations with BP, Particle Swarm Optimizer–BP (PSO-BP), and Snake Optimizer–PB (SO-BP) models—performed using three performance metrics—demonstrate that our LTSSO-BP model achieves superior stability and accuracy, with classification accuracy, recall, and F1 score values of 90%, 91.41%, and 90.25%, respectively. Full article
(This article belongs to the Special Issue Indoor Positioning Technologies for Internet-of-Things)
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<p>BP neural network model.</p>
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<p>Logistic–Tent chaotic mapping.</p>
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<p>The variation law of <span class="html-italic">TH</span><sub>2</sub> with dynamic development factors.</p>
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<p>LTSSO-BP network flowchart.</p>
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<p>UWB positioning module for positioning base stations and tag devices.</p>
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<p>Schematic diagram of indoor data collection layout.</p>
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<p>Performance of noise parameters in LOS and NLOS environments.</p>
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<p>Path amplitude in LOS and NLOS environments.</p>
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<p>CIR_PWR in LOS and NLOS environments.</p>
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<p>CIR waveform amplitude under LOS conditions.</p>
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<p>CIR waveform amplitude under NLOS conditions.</p>
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<p>(<b>a</b>) BP model confusion matrix; (<b>b</b>) LTSSO-BP.</p>
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24 pages, 14435 KiB  
Article
Propagation Modeling of Unmanned Aerial Vehicle (UAV) 5G Wireless Networks in Rural Mountainous Regions Using Ray Tracing
by Shujat Ali, Asma Abu-Samah, Nor Fadzilah Abdullah and Nadhiya Liyana Mohd Kamal
Drones 2024, 8(7), 334; https://doi.org/10.3390/drones8070334 - 19 Jul 2024
Cited by 1 | Viewed by 1347
Abstract
Deploying 5G networks in mountainous rural regions can be challenging due to its unique and challenging characteristics. Attaching a transmitter to a UAV to enable connectivity requires a selection of suitable propagation models in such conditions. This research paper comprehensively investigates the signal [...] Read more.
Deploying 5G networks in mountainous rural regions can be challenging due to its unique and challenging characteristics. Attaching a transmitter to a UAV to enable connectivity requires a selection of suitable propagation models in such conditions. This research paper comprehensively investigates the signal propagation and performance under multiple frequencies, from mid-band to mmWaves range (3.5, 6, 28, and 60 GHz). The study focuses on rural mountainous regions, which were empirically simulated based on the Skardu, Pakistan, region. A complex 3D ray tracing method carefully figures out the propagation paths using the geometry of a 3D environment and looks at the effects in line-of-sight (LOS) and non-line-of-sight (NLOS) conditions. The analysis considers critical parameters such as path loss, received power, weather loss, foliage loss, and the impact of varying UAV heights. Based on the analysis and regression modeling techniques, quadratic polynomials were found to accurately model the signal behavior, enabling signal strength predictions as a function of distances between the user and an elevated drone. Results were analyzed and compared with suburban areas with no mountains but more compact buildings surrounding the Universiti Kebangsaan Malaysia (UKM) campus. The findings highlight the need to identify the optimal height for the UAV as a base station, characterize radio channels accurately, and predict coverage to optimize network design and deployment with UAVs as additional sources. The research offers valuable insights for optimizing signal transmission and network planning and resolving spectrum-management difficulties in mountainous areas to enhance wireless communication system performance. The study emphasizes the significance of visualizations, statistical analysis, and outlier detection for understanding signal behavior in diverse environments. Full article
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<p>S1: Remote mountainous territory of Skardu Gilgit Baltistan, Pakistan.</p>
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<p>S2: UKM, Bangi, Malaysia.</p>
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<p>Single bouncing (SB) and multiple bouncing (MB) in ray tracing.</p>
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<p>The flowchart of modeling path loss in Matlab using the two scenarios.</p>
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<p>Distance and signal strength relationship in S1 using 4 different frequencies.</p>
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<p>Distance and signal strength relationship in S2 using 4 different frequencies.</p>
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<p>Example of MSE Box plot for S1 at 75 m.</p>
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<p>Example of MSE Box plot for S2 at 75 m.</p>
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<p>Propagation delay at different altitudes of UAV at different distances of UE in S1.</p>
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<p>Propagation delay at different altitudes of UAV at different distances of UE in S2.</p>
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18 pages, 4121 KiB  
Article
A Combined UWB/IMU Localization Method with Improved CKF
by Pengfei Ji, Zhongxing Duan and Weisheng Xu
Sensors 2024, 24(10), 3165; https://doi.org/10.3390/s24103165 - 16 May 2024
Cited by 1 | Viewed by 1190
Abstract
Aiming at the problem that ultra-wide band (UWB) cannot be accurately localized in environments with large noise variations and unknown statistical properties, a combinatorial localization method based on improved cubature (CKF) is proposed. First, in order to overcome the problem of inaccurate local [...] Read more.
Aiming at the problem that ultra-wide band (UWB) cannot be accurately localized in environments with large noise variations and unknown statistical properties, a combinatorial localization method based on improved cubature (CKF) is proposed. First, in order to overcome the problem of inaccurate local approximation or even the inability to converge due to the initial value not being set near the optimal solution in the process of solving the UWB position by the least-squares method, the Levenberg–Marquardt algorithm (L–M) is adopted to optimally solve the UWB position. Secondly, because UWB and IMU information are centrally fused, an adaptive factor is introduced to update the measurement noise covariance matrix in real time to update the observation noise, and the fading factor is added to suppress the filtering divergence to achieve an improvement for the traditional CKF algorithm. Finally, the performance of the proposed combined localization method is verified by field experiments in line-of-sight (LOS) and non-line-of-sight (NLOS) scenarios, respectively. The results show that the proposed method can maintain high localization accuracy in both LOS and NLOS scenarios. Compared with the Extended Kalman filter (EKF), unbiased Kalman filter (UKF), and CKF algorithms, the localization accuracies of the proposed method in NLOS scenarios are improved by 25.2%, 18.3%, and 11.3%, respectively. Full article
(This article belongs to the Topic Multi-Sensor Integrated Navigation Systems)
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<p>Trilateral positioning method.</p>
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<p>L–M algorithm simulation experiments.</p>
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<p>Block diagram of combined UWB and IMU localization.</p>
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<p>Flowchart of combinatorial localization based on improved CKF algorithm.</p>
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<p>LOS experimental scenarios.</p>
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<p>NLOS experimental scenarios.</p>
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<p>Experimental equipment. (<b>a</b>) UWB base stations and tags. (<b>b</b>) Mobile robot.</p>
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<p>Localization trajectories for UWB and IMU in LOS environments.</p>
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<p>Parameters related to accelerometers and gyroscopes in IMUs. (<b>a</b>) Acceleration bias in the <span class="html-italic">x</span>-axis. (<b>b</b>) Acceleration bias in the <span class="html-italic">y</span>-axis. (<b>c</b>) Yaw angle error. (<b>d</b>) Gyroscope bias in <span class="html-italic">z</span>-axis.</p>
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<p>Combined localization trajectories of several algorithms in the LOS environment.</p>
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<p>Static 2D localization trajectories and RMSE for several algorithms in the NLOS environment. (<b>a</b>) Positioning track. (<b>b</b>) RMSE.</p>
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<p>Dynamic 2D localization trajectories and RMSE for several algorithms in NLOS environment. (<b>a</b>) Positioning track. (<b>b</b>) RMSE.</p>
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30 pages, 8584 KiB  
Article
MDE and LLM Synergy for Network Experimentation: Case Analysis of Wireless System Performance in Beaulieu-Xie Fading and κ-µ Co-Channel Interference Environment with Diversity Combining
by Dragana Krstic, Suad Suljovic, Goran Djordjevic, Nenad Petrovic and Dejan Milic
Sensors 2024, 24(10), 3037; https://doi.org/10.3390/s24103037 - 10 May 2024
Cited by 2 | Viewed by 1302
Abstract
Channel modeling is a first step towards the successful projecting of any wireless communication system. Hence, in this paper, we analyze the performance at the output of a multi-branch selection combining (SC) diversity receiver in a wireless environment that has been distracted by [...] Read more.
Channel modeling is a first step towards the successful projecting of any wireless communication system. Hence, in this paper, we analyze the performance at the output of a multi-branch selection combining (SC) diversity receiver in a wireless environment that has been distracted by fading and co-channel interference (CCI), whereby the fading is modelled by newer Beaulieu-Xie (BX) distribution, and the CCI is modelled by the κ-µ distribution. The BX distribution provides the ability to include in consideration any number of line-of-sight (LOS) useful signal components and non-LOS (NLOS) useful signal components. This distribution contains characteristics of some other fading models thanks to its flexible fading parameters, which also applies to the κ-µ distribution. We derived here the expressions for the probability density function (PDF) and cumulative distribution function (CDF) for the output signal-to-co-channel interference ratio (SIR). After that, other performances are obtained, namely: outage probability (Pout), channel capacity (CC), moment-generating function (MGF), average bit error probability (ABEP), level crossing rate (LCR), and average fade duration (AFD). Numerical results are presented in several graphs versus the SIR for different values of fading and CCI parameters, as well as the number of input branches in the SC receiver. Then, the impact of parameters on all performance is checked. From our numerical results, it is possible to directly obtain the performance for all derived and displayed quantities for cases of previously known distributions of fading and CCI by inserting the appropriate parameter values. In the second part of the paper, a workflow for automated network experimentation relying on the synergy of Large Language Models (LLMs) and model-driven engineering (MDE) is presented, while the previously derived expressions are used for evaluation. Due to the aforementioned, the biggest value of the obtained results is the applicability to the cases of a large number of other distributions for fading and CCI by replacing the corresponding parameters in the formulas for the respective performances. Full article
(This article belongs to the Special Issue Recent Trends and Advances in Telecommunications and Sensing)
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<p>Model of multi-branch SC diversity receiver.</p>
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<p>PDF of SIR <span class="html-italic">z</span> at the multi-branch SC receiver output for different values of fading parameters <span class="html-italic">m</span> and κ<sub>x</sub>. Other parameters are: κ<sub>y</sub> = 1, µ = 1, <span class="html-italic">L</span> = 2, Ω = 1, and <span class="html-italic">s</span> = 1.</p>
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<p>PDF versus SIR <span class="html-italic">z</span> at the multi-branch SC receiver output for variable CCI parameters κ<sub>y</sub> and µ, and number of branches <span class="html-italic">L</span>. Other parameters are: κ<sub>x</sub> = 1, <span class="html-italic">m</span> = 1, Ω = 1, and <span class="html-italic">s</span> = 1.</p>
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<p>Outage probability of multi-branch SC receiver depending on SIR versus different values of fading parameters κ<span class="html-italic"><sub>x</sub></span> and <span class="html-italic">m</span>.</p>
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<p>Pout of multi-branch SC receiver versus SIR considering different values of CCI parameters κ<sub>y</sub> and µ, and number of branches <span class="html-italic">L</span>.</p>
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<p>Normalized channel capacity for different values of BX fading parameters κ<sub>x</sub> and <span class="html-italic">m</span>.</p>
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<p>Normalized channel capacity for different values of CCI parameters κ<sub>y</sub> and µ and number of branches <span class="html-italic">L</span>.</p>
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<p>ABEP for BFSK modulation: parameters κ<sub>x</sub> and <span class="html-italic">m</span> are changing, and constant parameters are κ<sub>y</sub> = 1, µ = 1, <span class="html-italic">L</span> = 2, Ω = 1, <span class="html-italic">s</span> = 1.</p>
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<p>ABEP for BFSK modulation: changeable CCI parameters κ<sub>y</sub> and µ, and number of branches <span class="html-italic">L</span>; and constant are κ<sub>x</sub> = 1, <span class="html-italic">m</span> = 1, Ω = 1, <span class="html-italic">s</span> = 1.</p>
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<p>ABEP for BDPSK modulation when parameters κ<sub>x</sub> and <span class="html-italic">m</span> are changing. Other parameters values are constant: κ<sub>y</sub> = 1, µ = 1, <span class="html-italic">L</span> = 2, and powers: Ω = 1, <span class="html-italic">s</span> = 1.</p>
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<p>MGF-based ABEP for BDPSK modulation: CCI parameters κ<sub>y</sub> and µ are varying, and number of branches <span class="html-italic">L,</span> while constant are fading parameters κ<sub>x</sub> = 1, <span class="html-italic">m</span> = 1, and powers Ω = 1, <span class="html-italic">s</span> = 1.</p>
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<p>The LCR, normalized by Doppler frequency f<sub>m</sub>, versus output SIR for different sets of BX fading parameters κ<sub>x</sub> and m; CCI parameters are: κ<sub>y</sub> = 1 and µ = 1, and powers: Ω = 1, s = 1.</p>
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<p>Normalized LCR depending on SIR with variable CCI parameters κ<span class="html-italic"><sub>y</sub></span> and µ and number of branches <span class="html-italic">L</span>, while BX fading parameters remain constant: κ<span class="html-italic"><sub>x</sub></span> = 1 and <span class="html-italic">m</span> = 1, as well as powers Ω = 1 and <span class="html-italic">s</span> = 1.</p>
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<p>The AFD depending on output SIR for different values of BX fading parameters κ<sub>x</sub> and m; while CCI parameters are: κ<sub>y</sub> = 1 and µ = 1, number of branches L = 2 and powers: Ω = 1, s = 1.</p>
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<p>The AFD versus SIR considering different values of CCI parameters κ<sub>y</sub> and µ and number of branches L, while BX fading parameters are: κ<sub>x</sub> = 1 and m = 1, and powers Ω = 1 and s = 1.</p>
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<p>MDE and LLM synergy-based workflow for next-generation network experimentation and planning: 1—Natural language text experiment description and constraints; 2—Taking user-defined input to Prompt construction script; 3—Eclipse Ecore-based metamodel representation; 4—Prompt1 and Prompt 2 executions; 5—Model instance; 6—Experiment template; 7—Model instance as input for code generation; 8—OCL rules for verification of model instance; 9—Verified model instance; 10—Prompt3 execution; 11—Parametrized experiment; 12—Performance estimations, such as Pout, CC, ABEP, LCR, AFD.</p>
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<p>Network experimentation metamodel.</p>
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19 pages, 9702 KiB  
Article
Investigation of Characteristics of Ultraviolet Light Pulse Weak Signal Communication System Based on Fourth-Order Frequency-Shift Keying Modulation
by Yingkai Zhao, Axin Du, Yu Jiao, Li Kuang, Jiawen Chen, Ning Sun and Jianguo Liu
Photonics 2024, 11(5), 395; https://doi.org/10.3390/photonics11050395 - 24 Apr 2024
Viewed by 1234
Abstract
In ultraviolet (UV) communication, On–Off Keying (OOK) is the primary modulation technique. Compared to OOK, frequency modulation offers stronger resistance to path attenuation. Currently, research on frequency modulation demodulation schemes for UV communication is limited, mainly employing waveform detection and laser pulse response [...] Read more.
In ultraviolet (UV) communication, On–Off Keying (OOK) is the primary modulation technique. Compared to OOK, frequency modulation offers stronger resistance to path attenuation. Currently, research on frequency modulation demodulation schemes for UV communication is limited, mainly employing waveform detection and laser pulse response methods, which require high detection sensitivity to light. This study presents a novel frequency modulation communication scheme using discrete Poisson channel distribution and optical pulse signal processing algorithms, enhancing the signal processing sensitivity of the existing frequency modulation scheme to the level of photons. The proposed system model is rigorously evaluated through theoretical derivations and simulations. Additionally, a hardware system integrating optical pulse counting, frequency detection, and clock data recovery algorithms is developed. Experimental results show the system achieving a 5 kbps transmission rate under frequency modulation. In non-line-of-sight (NLOS) scenarios, communication reaches up to 65 m, with the receiver elevation angle ranging from 10° to 25° and the bit error rate (BER) stabilized at 10−4, while in line-of-sight (LOS) situations, the BER remains at 10−5 up to 400 m and 10−4 up to 700 m, achieving the farthest distance and fastest communication rate achievable in the current FSK modulation scheme of ultraviolet communication systems. The integrated components enhance its applicability in communication systems. This study offers a valuable addition to UV communication technology. Full article
(This article belongs to the Section Optical Communication and Network)
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<p>Ultraviolet communication system flow chart.</p>
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<p>NLOS single scattering communication geometry.</p>
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<p>Relationship between <span class="html-italic">R</span> and <span class="html-italic">S</span> for different bandwidths.</p>
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<p>Ultraviolet weak signal communication system block diagram.</p>
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<p>Hardware implementation module of UV communication system.</p>
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<p>Normalized spectral matching of the 40 kHz signal entering the frequency detection windows: (<b>a</b>) entering the 40 kHz detection window; (<b>b</b>) entering the 45 kHz detection window; (<b>c</b>) entering the 50 kHz detection window; (<b>d</b>) entering the 55 kHz detection window.</p>
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<p>Decoding Stability Index from simulations: (<b>a</b>) different scenarios for <span class="html-italic">λ<sub>b</sub></span>; (<b>b</b>) different scenarios for <span class="html-italic">R</span>.</p>
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<p>BER from simulations: (<b>a</b>) different scenarios for <span class="html-italic">λ<sub>b</sub></span>; (<b>b</b>) different scenarios for <span class="html-italic">R</span>.</p>
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<p>Different stages of signal states: (<b>a</b>) carrier signals output from FPGA; (<b>b</b>) the modulated carrier signal from the transmitter; (<b>c</b>) photodetected signals from the receiver.</p>
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<p>The NLOS test site and the transmitter-side special platform.</p>
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<p>The relationship between BER and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>θ</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>LOS test diagram: (<b>a</b>) the positions of the transmitter and receiver; (<b>b</b>) test site and equipment.</p>
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<p>The relationship between BER and distance.</p>
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