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Keywords = ambiguity resolution (AR)

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16 pages, 2102 KiB  
Article
Semantic Segmentation Method for High-Resolution Tomato Seedling Point Clouds Based on Sparse Convolution
by Shizhao Li, Zhichao Yan, Boxiang Ma, Shaoru Guo and Hongxia Song
Agriculture 2025, 15(1), 74; https://doi.org/10.3390/agriculture15010074 - 31 Dec 2024
Viewed by 222
Abstract
Semantic segmentation of three-dimensional (3D) plant point clouds at the stem-leaf level is foundational and indispensable for high-throughput tomato phenotyping systems. However, existing semantic segmentation methods often suffer from issues such as low precision and slow inference speed. To address these challenges, we [...] Read more.
Semantic segmentation of three-dimensional (3D) plant point clouds at the stem-leaf level is foundational and indispensable for high-throughput tomato phenotyping systems. However, existing semantic segmentation methods often suffer from issues such as low precision and slow inference speed. To address these challenges, we propose an innovative encoding-decoding structure, incorporating voxel sparse convolution (SpConv) and attention-based feature fusion (VSCAFF) to enhance semantic segmentation of the point clouds of high-resolution tomato seedling images. Tomato seedling point clouds from the Pheno4D dataset labeled into semantic classes of ‘leaf’, ‘stem’, and ‘soil’ are applied for the semantic segmentation. In order to reduce the number of parameters so as to further improve the inference speed, the SpConv module is designed to function through the residual concatenation of the skeleton convolution kernel and the regular convolution kernel. The feature fusion module based on the attention mechanism is designed by giving the corresponding attention weights to the voxel diffusion features and the point features in order to avoid the ambiguity of points with different semantics having the same characteristics caused by the diffusion module, in addition to suppressing noise. Finally, to solve model training class bias caused by the uneven distribution of point cloud classes, the composite loss function of Lovász-Softmax and weighted cross-entropy is introduced to supervise the model training and improve its performance. The results show that mIoU of VSCAFF is 86.96%, which outperformed the performance of PointNet, PointNet++, and DGCNN, respectively. IoU of VSCAFF achieves 99.63% in the soil class, 64.47% in the stem class, and 96.72% in the leaf class. The time delay of 35ms in inference speed is better than PointNet++ and DGCNN. The results demonstrate that VSCAFF has high performance and inference speed for semantic segmentation of high-resolution tomato point clouds, and can provide technical support for the high-throughput automatic phenotypic analysis of tomato plants. Full article
(This article belongs to the Section Digital Agriculture)
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<p>The raw tomato seedling point cloud and point cloud labeled into semantic classes of ‘leaf’, and ‘stem’, and ‘soil’.</p>
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<p>The structure of network.</p>
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<p>Encoding-decodin g architecture based on SpConv.</p>
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<p>Three kinds of convolution kernel structures.</p>
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<p>Attention-based feature fusion method.</p>
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<p>Semantic segmentation of the tomato plant point clouds. Note1: GT represents ground truth. Note2: Four seedling point clouds scanned in four discrete days represented.</p>
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21 pages, 17676 KiB  
Article
Comparative Assessment of the Effect of Positioning Techniques and Ground Control Point Distribution Models on the Accuracy of UAV-Based Photogrammetric Production
by Muhammed Enes Atik and Mehmet Arkali
Drones 2025, 9(1), 15; https://doi.org/10.3390/drones9010015 - 27 Dec 2024
Viewed by 498
Abstract
Unmanned aerial vehicle (UAV) systems have recently become essential for mapping, surveying, and three-dimensional (3D) modeling applications. These systems are capable of providing highly accurate products through integrated advanced technologies, including a digital camera, inertial measurement unit (IMU), and Global Navigation Satellite System [...] Read more.
Unmanned aerial vehicle (UAV) systems have recently become essential for mapping, surveying, and three-dimensional (3D) modeling applications. These systems are capable of providing highly accurate products through integrated advanced technologies, including a digital camera, inertial measurement unit (IMU), and Global Navigation Satellite System (GNSS). UAVs are a cost-effective alternative to traditional aerial photogrammetry, and recent advancements demonstrate their effectiveness in many applications. In UAV-based photogrammetry, ground control points (GCPs) are utilized for georeferencing to enhance positioning precision. The distribution, number, and location of GCPs in the study area play a crucial role in determining the accuracy of photogrammetric products. This research evaluates the accuracy of positioning techniques for image acquisition for photogrammetric production and the effect of GCP distribution models. The camera position was determined using real-time kinematic (RTK), post-processed kinematic (PPK), and precise point positioning-ambiguity resolution (PPP-AR) techniques. In the criteria for determining the GCPs, six models were established within the İstanbul Technical University, Ayazaga Campus. To assess the accuracy of the points in these models, the horizontal, vertical, and 3D root mean square error (RMSE) values were calculated, holding the test points stationary in place. In the study, 2.5 cm horizontal RMSE and 3.0 cm vertical RMSE were obtained with the model containing five homogeneous GCPs by the indirect georeferencing method. The highest RMSE values of all three components in RTK, PPK, and PPP-AR methods were obtained without GCPs. For all six models, all techniques have an error value of sub-decimeter. The PPP-AR technique yields error values that are comparable to those of the other techniques. The PPP-AR appears to be an alternative to RTK and PPK, which usually require infrastructure, labor, and higher costs. Full article
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<p>The basis of globally operating PPP.</p>
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<p>The fundamental concept of RTK GNSS positioning through the use of a UAV.</p>
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<p>The study area is located on the Ayazaga Campus of Istanbul Technical University, Türkiye.</p>
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<p>Distribution of test points (on <b>left</b>) in the study area and GCP sample (on <b>right</b>).</p>
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<p>GCP distribution models generated in the study area.</p>
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<p>All stations of network ISKI-UKBS [<a href="#B55-drones-09-00015" class="html-bibr">55</a>].</p>
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<p>Workflow for post-processed positioning techniques.</p>
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<p>PALA station (on <b>left</b>) and distance (on <b>right</b>) from the study area.</p>
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<p>Orthomosaic (on <b>left</b>) and DEM (on <b>right</b>) produced as a result of photogrammetric evaluation.</p>
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<p>Box plot for horizontal and vertical differences in CPs. Red dots refer to outliers.</p>
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<p>The errors in the X-axis were evaluated for each positioning technique.</p>
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<p>The errors in the Y-axis were evaluated for each positioning technique.</p>
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<p>The errors in the Z-axis were evaluated for each positioning technique.</p>
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23 pages, 10008 KiB  
Review
Multi-Global Navigation Satellite System for Earth Observation: Recent Developments and New Progress
by Shuanggen Jin, Xuyang Meng, Gino Dardanelli and Yunlong Zhu
Remote Sens. 2024, 16(24), 4800; https://doi.org/10.3390/rs16244800 - 23 Dec 2024
Viewed by 445
Abstract
The Global Navigation Satellite System (GNSS) has made important progress in Earth observation and applications. With the successful design of the BeiDou Navigation Satellite System (BDS), four global navigation satellite systems are available worldwide, together with Galileo, GLONASS, and GPS. These systems have [...] Read more.
The Global Navigation Satellite System (GNSS) has made important progress in Earth observation and applications. With the successful design of the BeiDou Navigation Satellite System (BDS), four global navigation satellite systems are available worldwide, together with Galileo, GLONASS, and GPS. These systems have been widely employed in positioning, navigation, and timing (PNT). Furthermore, GNSS refraction, reflection, and scattering signals can remotely sense the Earth’s surface and atmosphere with powerful implications for environmental remote sensing. In this paper, the recent developments and new application progress of multi-GNSS in Earth observation are presented and reviewed, including the methods of BDS/GNSS for Earth observations, GNSS navigation and positioning performance (e.g., GNSS-PPP and GNSS-NRTK), GNSS ionospheric modelling and space weather monitoring, GNSS meteorology, and GNSS-reflectometry and its applications. For instance, the static Precise Point Positioning (PPP) precision of most MGEX stations was improved by 35.1%, 18.7%, and 8.7% in the east, north, and upward directions, respectively, with PPP ambiguity resolution (AR) based on factor graph optimization. A two-layer ionospheric model was constructed using IGS station data through three-dimensional ionospheric model constraints and TEC accuracy was increased by about 20–27% with the GIM model. Ten-minute water level change with centimeter-level accuracy was estimated with ground-based multiple GNSS-R data based on a weighted iterative least-squares method. Furthermore, a cyclone and its positions were detected by utilizing the GNSS-reflectometry from the space-borne Cyclone GNSS (CYGNSS) mission. Over the years, GNSS has become a dominant technology among Earth observation with powerful applications, not only for conventional positioning, navigation and timing techniques, but also for integrated remote sensing solutions, such as monitoring typhoons, river water level changes, geological geohazard warnings, low-altitude UAV navigation, etc., due to its high performance, low cost, all time and all weather. Full article
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<p>PWV variation trend in different regions of China from GNSS observations (Reprinted from Ref. [<a href="#B26-remotesensing-16-04800" class="html-bibr">26</a>]).</p>
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<p>Geometric model of GNSS multipath reflectometry (GNSS-R).</p>
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<p>Convergence time using different system combinations and ‘GBM’ products with the average floating-point solution (<b>top</b>) and fixed solution (<b>bottom</b>) at each site (Reprinted from Ref. [<a href="#B32-remotesensing-16-04800" class="html-bibr">32</a>]).</p>
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<p>The positioning-error sequence of dynamic PPP by using the ambiguity floating point solution and the ambiguity-fixed solution of real-time products (Reprinted from Ref. [<a href="#B32-remotesensing-16-04800" class="html-bibr">32</a>]).</p>
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<p>The positioning accuracy of the GPS + Galileo combined solution is improved in kinematic PPP when compared to the GPS-only and Galileo-only solutions (Reprinted from Ref. [<a href="#B33-remotesensing-16-04800" class="html-bibr">33</a>]).</p>
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<p>Static positional biases of AR and float solutions for MGEX stations on DoY 183, 2022 (Reprinted from Ref. [<a href="#B34-remotesensing-16-04800" class="html-bibr">34</a>]).</p>
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<p>The spatial distribution of TEC at 13:00 UT during DOY 80, 170, 270, and 360 in 2023 for the double-layer SH model (<b>left</b>) and GIM-IGS (<b>right</b>) (Reprinted with permission from Ref. [<a href="#B44-remotesensing-16-04800" class="html-bibr">44</a>]. 2024 Jin, S.).</p>
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<p>Daily average TEC from GIM, GEDM, IRI-2020 in 2010 (<b>left</b>), and 2014 (<b>right</b>) (Reprinted with permission from Ref. [<a href="#B45-remotesensing-16-04800" class="html-bibr">45</a>]. 2024 Jin, S.).</p>
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<p>Ionospheric disturbance characteristics during Typhoon Chandu, from GPS PRN32 and GLONASS PRN1 (Reprinted with permission from Ref. [<a href="#B47-remotesensing-16-04800" class="html-bibr">47</a>]. 2024 Jin, S.).</p>
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<p>Estimation and evaluation of ZTD from single and multiple GNSS observations (Reprinted from Ref. [<a href="#B24-remotesensing-16-04800" class="html-bibr">24</a>]).</p>
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<p>The differences in ZTD RMSE between La Nina and non-La Nina IGS stations (Reprinted with permission from Ref. [<a href="#B48-remotesensing-16-04800" class="html-bibr">48</a>]. 2024 Ye, S.).</p>
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<p>Data processing flow chart for high-frequency GNSS-R water level monitoring (Reprinted with permission from Ref. [<a href="#B50-remotesensing-16-04800" class="html-bibr">50</a>]. 2022 Jin, S.).</p>
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<p>Biases (<b>a</b>,<b>b</b>) and RMSEs (<b>c</b>,<b>d</b>) of the retrieved wind speed for (<b>a</b>,<b>c</b>) cyclone-free and (<b>b</b>,<b>d</b>) cyclonic conditions (Reprinted with permission from Ref. [<a href="#B54-remotesensing-16-04800" class="html-bibr">54</a>]. 2023 Zhang, G.).</p>
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18 pages, 1898 KiB  
Article
Improving Performance of Uncombined PPP-AR Model with Ambiguity Constraints
by Yichen Liu, Urs Hugentobler and Bingbing Duan
Remote Sens. 2024, 16(23), 4537; https://doi.org/10.3390/rs16234537 - 3 Dec 2024
Viewed by 660
Abstract
With the advancement of multi-frequency and multi-constellation GNSS signals and the introduction of observable-specific bias (OSB) products, the uncombined precise point positioning (PPP) model has grown more prevalent. However, this model faces challenges due to the large number of estimated parameters, resulting in [...] Read more.
With the advancement of multi-frequency and multi-constellation GNSS signals and the introduction of observable-specific bias (OSB) products, the uncombined precise point positioning (PPP) model has grown more prevalent. However, this model faces challenges due to the large number of estimated parameters, resulting in strong correlations between state parameters, such as clock errors, ionospheric delays, and hardware biases. This can slow down the convergence time and impede ambiguity resolution. We propose two methods to improve the triple-frequency uncombined PPP-AR model by integrating ambiguity constraints. The first approach makes use of the resolved ambiguities from dual-frequency ionosphere-free combined PPP-AR processing and incorporates them as constraints into triple-frequency uncombined PPP-AR processing. While this approach requires the implementation of two filters, increasing computational demands and thereby limiting its feasibility for real-time applications, it effectively reduces parameter correlations and facilitates ambiguity resolution in post-processing. The second approach incorporates fixed extra-wide-lane (EWL) and wide-lane (WL) ambiguities directly, allowing for rapid convergence, and is well suited for real-time processing. Results show that, compared to the uncombined PPP-AR model, integrating N1 and N2 constraints reduces averaged convergence time from 8.2 to 6.4 min horizontally and 13.9 to 10.7 min vertically in the float solution. On the other hand, integrating EWL and WL ambiguity constraints reduces the horizontal convergence to 5.9 min in the float solution and to 4.6 min for horizontal and 9.7 min for vertical convergence in the fixed solution. Both methods significantly enhance the ambiguity resolution in the uncombined triple-frequency PPP model, increasing the validated fixing rate from approximately 80% to 89%. Full article
(This article belongs to the Special Issue Multi-GNSS Precise Point Positioning (MGPPP))
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<p>The distribution of the IGS sites used in the processing.</p>
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<p>Float position errors and their formal uncertainty of the uncombined models in east (red), north (blue), and up (black) components during the first hour. The shaded area represents the error bar. (<b>a</b>) Triple-Uncomb model, (<b>b</b>) Triple-Uncomb+N1&amp;N2 model, (<b>c</b>) Triple-Uncomb+EWL&amp;WL model.</p>
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<p>Histogram of the values of the ambiguity constraints in two models in experiment GODS, DOY 301, 0:00–4:00. (<b>a</b>) N1&amp;N2 ambiguity constraints, (<b>b</b>) EWL&amp;WL ambiguity constraints.</p>
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<p>Horizontal scatter plot of position errors with RMS values during initial 20 min in all experiments. The blue, orange, and green dots represent float, fixed, and validated fixed solutions, respectively. (<b>a</b>) Dual-IF model, (<b>b</b>) Triple-Uncomb model, (<b>c</b>) Triple-TCAR model, (<b>d</b>) Triple-Uncomb+N1&amp;N2 model, (<b>e</b>) Triple-Uncomb+EWL&amp;WL model.</p>
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<p>Cumulative distribution of the number of the converged experiments according to the horizontal convergence time. The black and red dotted lines denote the 95th and 68th percentile.</p>
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<p>Averaged positioning error over time in horizontal and vertical components during the first hour. Blue, red, yellow, purple, and green lines represent Dual-IF, Triple-Uncomb, Triple-TCAR, Triple-Uncomb+N1&amp;N2, and Triple-Uncomb+EWL&amp;WL models, respectively. Shaded area represents the uncertainty of the solution. Blue horizontal line denotes the convergence level. (<b>a</b>) Horizontal float positioning error, (<b>b</b>) horizontal fixed positioning error, (<b>c</b>) vertical float positioning error, (<b>d</b>) vertical fixed positioning error.</p>
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<p>The averaged convergence time for float and fixed solution among five models. Convergence time statistics align with the results in <a href="#remotesensing-16-04537-f006" class="html-fig">Figure 6</a>. (<b>a</b>) Horizontal component. (<b>b</b>) Vertical component.</p>
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<p>Averaged fixing rate and validated fixing rate for five models for all experiments. The fixing rate and validated fixing rate are both averaged over all experiments.</p>
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19 pages, 3890 KiB  
Article
Long-Baseline Real-Time Kinematic Positioning: Utilizing Kalman Filtering and Partial Ambiguity Resolution with Dual-Frequency Signals from BDS, GPS, and Galileo
by Deying Yu, Houpu Li, Zhiguo Wang, Shuguang Wu, Yi Liu, Kaizhong Ju and Chen Zhu
Aerospace 2024, 11(12), 970; https://doi.org/10.3390/aerospace11120970 - 26 Nov 2024
Viewed by 460
Abstract
This study addresses the challenges associated with single-system long-baseline real-time kinematic (RTK) navigation, including limited positioning accuracy, inconsistent signal reception, and significant residual atmospheric errors following double-difference corrections. This study explores the effectiveness of long-baseline RTK navigation using an integrated system of the [...] Read more.
This study addresses the challenges associated with single-system long-baseline real-time kinematic (RTK) navigation, including limited positioning accuracy, inconsistent signal reception, and significant residual atmospheric errors following double-difference corrections. This study explores the effectiveness of long-baseline RTK navigation using an integrated system of the BeiDou Navigation Satellite System (BDS), Global Positioning System (GPS), and Galileo Satellite Navigation System (Galileo). A long-baseline RTK approach that incorporates Kalman filtering and partial ambiguity resolution is applied. Initially, error models are used to correct ionospheric and tropospheric delays. The zenith tropospheric and inclined ionospheric delays and additional atmospheric error components are then regarded as unknown parameters. These parameters are estimated together with the position and ambiguity parameters via Kalman filtering. A two-step method based on a success rate threshold is employed to resolve partial ambiguity. Data from five long-baseline IGS monitoring stations and real-time measurements from a ship were employed for the dual-frequency RTK positioning experiments. The findings indicate that integrating additional GNSSs beyond the BDS considerably enhances both the navigation precision and the rate of ambiguity resolution. At the IGS stations, the integration of the BDS, GPS, and Galileo achieved navigation precisions of 2.0 cm in the North, 5.1 cm in the East, and 5.3 cm in the Up direction while maintaining a fixed resolution exceeding 94.34%. With a fixed resolution of Up to 99.93%, the integration of BDS and GPS provides horizontal and vertical precision within centimeters in maritime contexts. Therefore, the proposed approach achieves precise positioning capabilities for the rover while significantly increasing the rate of successful ambiguity resolution in long-range scenarios, thereby enhancing its practical use and exhibiting substantial application potential. Full article
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<p>Distribution of IGS sites map.</p>
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<p>Sailing trajectory of the test vessel.</p>
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<p>Flowchart of dual-frequency long-baseline RTK.</p>
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<p>Positioning root mean square (RMS) errors.</p>
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<p>Tropospheric errors.</p>
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<p>Ionospheric errors.</p>
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<p>Visual satellite count and PDOP values for the reference station NANO. C represents BDS, CG represents BDS/GPS, CE represents BDS/Galileo, and CGE represents BDS/GPS/Galileo.</p>
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<p>Positioning RMS errors and ambiguity fixing rates.</p>
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<p>RTK positioning errors for the 152 km baseline. The blue line represents the float solution, and the green line represents the fixed solution.</p>
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<p>Error sequence plot of epoch has not achieved single-system and dual-system shipborne data.</p>
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<p>Fixed ambiguity counts and ratios.</p>
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19 pages, 7611 KiB  
Article
Theoretical Analysis and Experimental Evaluation of Wide-Lane Combination for Single-Epoch Positioning with BeiDou-3 Observations
by Yulu Wang, Xin Liu and Shubi Zhang
Remote Sens. 2024, 16(23), 4404; https://doi.org/10.3390/rs16234404 - 25 Nov 2024
Viewed by 408
Abstract
Multi-frequency signals can enable some wide-lane (WL) observations to achieve instantaneous ambiguity resolution (AR) in complex scenarios, but simply adding WL observations will also place additional pressure on real-time kinematic data transmission. With the official service of the third-generation Beidou Navigation Satellite System, [...] Read more.
Multi-frequency signals can enable some wide-lane (WL) observations to achieve instantaneous ambiguity resolution (AR) in complex scenarios, but simply adding WL observations will also place additional pressure on real-time kinematic data transmission. With the official service of the third-generation Beidou Navigation Satellite System, which broadcasts five-frequency signals, this dilemma has become increasingly evident. It is significant to explore multi-frequency observation combination methods that take into account both positioning precision and data transmission burden. In this work, we use the least squares method to derive the theoretical precision of the single-epoch WL combination of 16 schemes with varying frequency numbers (three or more) under the ionosphere-fixed model and the ionosphere-float model. The baseline solutions of 4.3 km and 93.56 km confirm that the positioning results are broadly consistent with the theoretical derivations under both models. In the ionosphere-fixed mode, the five-frequency scheme (B1C, B1I, B3I, B2b, B2a) yields the best positioning performance, improving the 3-dimensional positioning error standard deviation, circle error probable (CEP), and spherical error probable at 75% probability by 7.8%, 11.5%, and 6.7%, respectively, compared with the optimal triple-frequency scheme (B1C, B3I, B2a). Under the ionosphere-float model, the quad-frequency scheme (B1C, B3I, B2b, B2a) provides the best positioning performance, with only the CEP at 75% improving by 1.3% over the triple-frequency scheme. Given that the optimal triple-frequency scheme has a lower data volume, this work recommends it as the preferred scheme. Full article
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<p>The number of BDS-3 satellites and RDOP values as a function of epochs: (<b>a</b>) Baseline 1; (<b>b</b>) Baseline 2.</p>
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<p>ENU errors for Baseline 1, showing comparisons of different processing schemes. (<b>1a</b>–<b>16a</b>) Errors in the East (E) and North (N) directions for schemes 1 to 16 (indicated by numbers in parentheses). Red dots depict float solutions, whereas blue dots represent fixed solutions. (<b>1b</b>–<b>16b</b>) Error in the Up (U) direction for the same schemes, with the same color coding applied.</p>
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<p>Positioning error of Baseline 1: (<b>a</b>) 2D positioning error; (<b>b</b>) 3D positioning error.</p>
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<p>ENU errors for Baseline 2, showing comparisons of different processing schemes. (<b>1a</b>–<b>16a</b>) Errors in the East (E) and North (N) directions for schemes 1 to 16 (indicated by numbers in parentheses). Red dots depict float solutions, whereas blue dots represent fixed solutions. (<b>1b</b>–<b>16b</b>) Error in the Up (U) direction for the same schemes, with the same color coding applied.</p>
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<p>STD of positioning results for Baseline 2 in E, N, and U directions across 16 different schemes.</p>
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<p>Positioning error of Baseline 2: (<b>a</b>) 2D positioning error; (<b>b</b>) 3D positioning error.</p>
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<p><span class="html-italic">P</span> values as a function of thresholds: (<b>a</b>) Baseline 1; (<b>b</b>) Baseline 2.</p>
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<p>The success rate of theoretical AR under different total errors.</p>
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33 pages, 14046 KiB  
Article
High-Resolution Collaborative Forward-Looking Imaging Using Distributed MIMO Arrays
by Shipei Shen, Xiaoli Niu, Jundong Guo, Zhaohui Zhang and Song Han
Remote Sens. 2024, 16(21), 3991; https://doi.org/10.3390/rs16213991 - 27 Oct 2024
Viewed by 1193
Abstract
Airborne radar forward-looking imaging holds significant promise for applications such as autonomous navigation, battlefield reconnaissance, and terrain mapping. However, traditional methods are hindered by complex system design, azimuth ambiguity, and low resolution. This paper introduces a distributed array collaborative, forward-looking imaging approach, where [...] Read more.
Airborne radar forward-looking imaging holds significant promise for applications such as autonomous navigation, battlefield reconnaissance, and terrain mapping. However, traditional methods are hindered by complex system design, azimuth ambiguity, and low resolution. This paper introduces a distributed array collaborative, forward-looking imaging approach, where multiple aircraft with linear arrays fly in parallel to achieve coherent imaging. We analyze signal model characteristics and highlight the limitations of conventional algorithms. To address these issues, we propose a high-resolution imaging algorithm that combines an enhanced missing-data iterative adaptive approach with aperture interpolation technique (MIAA-AIT) for effective signal recovery in distributed arrays. Additionally, a novel reference range cell migration correction (reference RCMC) is employed for precise range–azimuth decoupling. The forward-looking algorithm effectively transforms distributed arrays into a virtual long-aperture array, enabling high-resolution, high signal-to-noise ratio imaging with a single snapshot. Simulations and real data tests demonstrate that our method not only improves resolution but also offers flexible array configurations and robust performance in practical applications. Full article
(This article belongs to the Topic Radar Signal and Data Processing with Applications)
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<p>Geometric configuration of the system.</p>
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<p>Analysis of the single-array configuration. (<b>a</b>) Demonstration of equivalent antenna transformation. (<b>b</b>) Configuration of actual array and equivalent virtual array.</p>
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<p>Analysis of the mismatch between traditional algorithms and distributed imaging models. (<b>a</b>) Azimuth time-domain envelope of echo sampling in distributed arrays. (<b>b</b>) Azimuth spectrum of echo sampling in distributed arrays. (<b>c</b>) Azimuth focusing results using single-array and distributed multi-array configurations.</p>
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<p>Analysis of the system’s range cell migration. (<b>a</b>) Single-array RCM. (<b>b</b>) Inter-array RCM.</p>
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<p>Comparison between the proposed RCMC and traditional RCMC.</p>
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<p>Coherent processing of azimuth gapped signals.</p>
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<p>Overall workflow of the distributed array collaborative, forward-looking imaging.</p>
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<p>Original reference image.</p>
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<p>Comparative analysis of RCMC algorithms. (<b>a</b>) Target signals in the range—Doppler domain before RCMC. (<b>b</b>) Target signals in the time domain before RCMC. (<b>c</b>) Target signals in the range-Doppler domain after traditional RCMC. (<b>d</b>) Target signals in the time domain after traditional RCMC. (<b>e</b>) Target signals in the range—Doppler domain after proposed RCMC. (<b>f</b>) Target signals in the time domain after proposed RCMC. (<b>g</b>) Imaging results using traditional RCMC. (<b>h</b>) Imaging results using proposed RCMC.</p>
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<p>Comparative analysis of RCMC algorithms. (<b>a</b>) Target signals in the range—Doppler domain before RCMC. (<b>b</b>) Target signals in the time domain before RCMC. (<b>c</b>) Target signals in the range-Doppler domain after traditional RCMC. (<b>d</b>) Target signals in the time domain after traditional RCMC. (<b>e</b>) Target signals in the range—Doppler domain after proposed RCMC. (<b>f</b>) Target signals in the time domain after proposed RCMC. (<b>g</b>) Imaging results using traditional RCMC. (<b>h</b>) Imaging results using proposed RCMC.</p>
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<p>Forward—looking imaging performance analysis of the proposed distributed array coherent processing algorithm.(<b>a</b>) Original reference image. (<b>b</b>) Target envelope formed by ECS using single array. (<b>c</b>) Target envelope formed by ECS—based full aperture algorithm. (<b>d</b>) Distributed array signals with an inter—array spacing of 10 m and an SNR of 25 dB. (<b>e</b>) Azimuth virtual long—aperture signal formed by the proposed algorithm under the corresponding conditions.(<b>f</b>) Target envelope formed by the proposed algorithm under the corresponding conditions. (<b>g</b>) Distributed array signals with an inter—array spacing of 20 m and an SNR of 25 dB. (<b>h</b>) Azimuth virtual long—aperture signal formed by the proposed algorithm under the corresponding conditions. (<b>i</b>) Target envelope formed by the proposed algorithm under the corresponding conditions. (<b>j</b>) Distributed array signals with an inter—array spacing of 10 m and an SNR of 10 dB. (<b>k</b>) Azimuth virtual long—aperture signal formed by the proposed algorithm under the corresponding conditions. (<b>l</b>) Target envelope formed by the proposed algorithm under the corresponding conditions.</p>
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<p>Comparative analysis of RCMC algorithms. (<b>a</b>) The target envelope based on LPM—AIT with 10 m array spacing. (<b>b</b>) The target envelope based on GAPES with 10 m array spacing. (<b>c</b>) The target envelope based on OMP with 10 m array spacing. (<b>d</b>) The target envelope based on ISTA with 10 m array spacing. (<b>e</b>) Target envelope from ECS algorithm with a 20 m real aperture. (<b>f</b>) The target envelope based on improved MIAA−AIT with 20 m array spacing. (<b>g</b>) The target envelope based on LPM−AIT with 20 m array spacing. (<b>h</b>) The target envelope based on GAPES with 20 m array spacing. (<b>i</b>) The target envelope based on OMP with 20 m array spacing. (<b>j</b>) The target envelope based on ISTA with 20 m array spacing. (<b>k</b>) Target envelope from ECS algorithm with a 40 m real aperture. (<b>l</b>) The target envelope based on improved MIAA−AIT with 20 m array spacing.</p>
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<p>Comparison of gapped signal recovery capabilities between different algorithms.</p>
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<p>Simulation results of surface targets using various algorithms. (<b>a</b>) Original image of surface target. (<b>b</b>) Imaging results of surface targets using 20 m aperture radar based on ECS algorithm. (<b>c</b>) Imaging results of surface targets using single—array radar based on ECS algorithm. (<b>d</b>) Imaging results of surface targets using distributed array based on OMP algorithm. (<b>e</b>) Imaging results of surface targets using distributed array based on LPM—AIT algorithm. (<b>f</b>) Imaging results of surface targets using distributed array based on MIAA—AIT algorithm.</p>
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<p>Comparison of algorithms with measured data (<b>a</b>) Overall experimental setup photo1. (<b>b</b>) Overall experimental setup photo2. (<b>c</b>) Imaging results with 0.5 m synthetic array. (<b>d</b>) Target azimuth envelope imaging results with 0.5 m synthetic array. (<b>e</b>) Imaging results with single cascade radar. (<b>f</b>) Target azimuth envelope imaging results with single cascade radar. (<b>g</b>) Imaging results using distributed array based on OMP algorithm. (<b>h</b>) Target azimuth envelope imaging results using distributed array based on OMP algorithm. (<b>i</b>) Imaging results using distributed array based on ISTA algorithm. (<b>j</b>) Target azimuth envelope imaging results using distributed array based on ISTA algorithm. (<b>k</b>) Imaging results using distributed array based on LPM—AIT algorithm. (<b>l</b>) Target azimuth envelope imaging results using distributed array based on LPM—AIT algorithm. (<b>m</b>) Imaging results using distributed array based on GAPES algorithm. (<b>n</b>) Target azimuth envelope imaging results using distributed array based on GAPES algorithm. (<b>o</b>) Imaging results using distributed array based on MIAA—AIT algorithm. (<b>p</b>) Target azimuth envelope imaging results using distributed array based on MIAA—AIT algorithm.</p>
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<p>Comparison of algorithms with measured data (<b>a</b>) Overall experimental setup photo1. (<b>b</b>) Overall experimental setup photo2. (<b>c</b>) Imaging results with 0.5 m synthetic array. (<b>d</b>) Target azimuth envelope imaging results with 0.5 m synthetic array. (<b>e</b>) Imaging results with single cascade radar. (<b>f</b>) Target azimuth envelope imaging results with single cascade radar. (<b>g</b>) Imaging results using distributed array based on OMP algorithm. (<b>h</b>) Target azimuth envelope imaging results using distributed array based on OMP algorithm. (<b>i</b>) Imaging results using distributed array based on ISTA algorithm. (<b>j</b>) Target azimuth envelope imaging results using distributed array based on ISTA algorithm. (<b>k</b>) Imaging results using distributed array based on LPM—AIT algorithm. (<b>l</b>) Target azimuth envelope imaging results using distributed array based on LPM—AIT algorithm. (<b>m</b>) Imaging results using distributed array based on GAPES algorithm. (<b>n</b>) Target azimuth envelope imaging results using distributed array based on GAPES algorithm. (<b>o</b>) Imaging results using distributed array based on MIAA—AIT algorithm. (<b>p</b>) Target azimuth envelope imaging results using distributed array based on MIAA—AIT algorithm.</p>
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<p>Comparison of algorithms with measured data (<b>a</b>) Overall experimental setup photo1. (<b>b</b>) Overall experimental setup photo2. (<b>c</b>) Imaging results with 0.5 m synthetic array. (<b>d</b>) Target azimuth envelope imaging results with 0.5 m synthetic array. (<b>e</b>) Imaging results with single cascade radar. (<b>f</b>) Target azimuth envelope imaging results with single cascade radar. (<b>g</b>) Imaging results using distributed array based on OMP algorithm. (<b>h</b>) Target azimuth envelope imaging results using distributed array based on OMP algorithm. (<b>i</b>) Imaging results using distributed array based on ISTA algorithm. (<b>j</b>) Target azimuth envelope imaging results using distributed array based on ISTA algorithm. (<b>k</b>) Imaging results using distributed array based on LPM—AIT algorithm. (<b>l</b>) Target azimuth envelope imaging results using distributed array based on LPM—AIT algorithm. (<b>m</b>) Imaging results using distributed array based on GAPES algorithm. (<b>n</b>) Target azimuth envelope imaging results using distributed array based on GAPES algorithm. (<b>o</b>) Imaging results using distributed array based on MIAA—AIT algorithm. (<b>p</b>) Target azimuth envelope imaging results using distributed array based on MIAA—AIT algorithm.</p>
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20 pages, 768 KiB  
Article
Partnering Implementation in SMEs: The Role of Trust
by Arvind Kumar Vidyarthy and Thyagaraj S. Kuthambalayan
Systems 2024, 12(10), 432; https://doi.org/10.3390/systems12100432 - 14 Oct 2024
Viewed by 815
Abstract
Resource Dependence Theory suggests that (a) power balance with resource interdependency, (b) formal/informal procedures for resource exchange, and (c) matching in goals and operational philosophies positively affect partnering implementation (information exchange and joint decision-making). Additionally, improved partnering implementation positive affects commitment fulfillment and [...] Read more.
Resource Dependence Theory suggests that (a) power balance with resource interdependency, (b) formal/informal procedures for resource exchange, and (c) matching in goals and operational philosophies positively affect partnering implementation (information exchange and joint decision-making). Additionally, improved partnering implementation positive affects commitment fulfillment and dispute resolution. In a setting where SMEs supply to small local retailers, the SMEs do not suffer from low bargaining power and rely on informal contracts, and both firms are compatible. The small trading partners in this study predominantly have face-to-face and telephonic interactions with each other (possible due to the small number). Knowledge of one another and a simple transaction process reduces risk and uncertainty, and leads to trust. In this study, trust is a contextual factor, and we aim to determine if there is a positive effect of (a), (b), and (c) on partnering implementation, and if the effect strengthens with an increase in the level of trust. Survey data are used to calibrate and validate a structural equation model independently. Through empirical research, we aim to identify deviations in results, determine the cause of deviation in the study characteristics, and add explanatory power to research findings. Except for the influence of trust on the positive relationship between informal procedures and partnering implementation, the finding fits with the theoretical bases. With a high level of trust, clarity in time, accuracy, and relevance of information exchanged may be lacking, compromising decision-making and adding to the ambiguity of partnering implementation with an informal agreement. Full article
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<p>Theoretical framework.</p>
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<p>Model results.</p>
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24 pages, 13331 KiB  
Article
Decimeter-Level Accuracy for Smartphone Real-Time Kinematic Positioning Implementing a Robust Kalman Filter Approach and Inertial Navigation System Infusion in Complex Urban Environments
by Amir Hossein Pourmina, Mohamad Mahdi Alizadeh and Harald Schuh
Sensors 2024, 24(18), 5907; https://doi.org/10.3390/s24185907 - 11 Sep 2024
Viewed by 3978
Abstract
New smartphones provide real-time access to GNSS pseudorange, Doppler, or carrier-phase measurement data at 1 Hz. Simultaneously, they can receive corrections broadcast by GNSS reference stations to perform real-time kinematic (RTK) positioning. This study aims at the real-time positioning capabilities of smartphones using [...] Read more.
New smartphones provide real-time access to GNSS pseudorange, Doppler, or carrier-phase measurement data at 1 Hz. Simultaneously, they can receive corrections broadcast by GNSS reference stations to perform real-time kinematic (RTK) positioning. This study aims at the real-time positioning capabilities of smartphones using raw GNSS measurements as a conventional method and proposes an improvement to the positioning through the integration of Inertial Navigation System (INS) measurements. A U-Blox GNSS receiver, model ZED-F9R, was used as a benchmark for comparison. We propose an enhanced ambiguity resolution algorithm that integrates the traditional LAMBDA method with an adaptive thresholding mechanism based on real-time quality metrics. The RTK/INS fusion method integrates RTK and INS measurements using an extended Kalman filter (EKF), where the state vector x includes the position, velocity, orientation, and their respective biases. The innovation here is the inclusion of a real-time weighting scheme that adjusts the contribution of the RTK and INS measurements based on their current estimated accuracy. Also, we use the tightly coupled (TC) RTK/INS fusion framework. By leveraging INS data, the system can maintain accurate positioning even when the GNSS data are unreliable, allowing for the detection and exclusion of abnormal GNSS measurements. However, in complex urban areas such as Qazvin City in Iran, the fusion method achieved positioning accuracies of approximately 0.380 m and 0.415 m for the Xiaomi Mi 8 and Samsung Galaxy S21 Ultra smartphones, respectively. The subsequent detailed analysis across different urban streets emphasized the significance of choosing the right positioning method based on the environmental conditions. In most cases, RTK positioning outperformed Single-Point Positioning (SPP), offering decimeter-level precision, while the fusion method bridged the gap between the two, showcasing improved stability accuracy. The comparative performance between the Samsung Galaxy S21 Ultra and Xiaomi Mi 8 revealed minor differences, likely attributed to variations in the hardware design and software algorithms. The fusion method emerged as a valuable alternative when the RTK signals were unavailable or impractical. This demonstrates the potential of integrating RTK and INS measurements for enhanced real-time smartphone positioning, particularly in challenging urban environments. Full article
(This article belongs to the Section Navigation and Positioning)
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<p>Flowchart depicting the TC RTK/INS integration architecture.</p>
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<p>The U-Blox antenna installed on the car roof (<b>a</b>), the Xiaomi Mi8 (left) and Samsung Galaxy S21 Ultra (right) mounted in the car (<b>b</b>), the Stonex S3II SE geodetic receiver (<b>c</b>), and the ZED-F9R receiver chipset used for the U-Blox antenna (<b>d</b>).</p>
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<p>The vehicle’s path while logging measurements using smartphones and the U-Blox receiver (<b>a</b>). (<b>b</b>–<b>e</b>) Field photos of the 4 selected parts of paths 1, 2, 3, and 4 in (<b>a</b>), respectively.</p>
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<p>GNSS raw observations processed by three methods, SPP, RTK, and fusion, respectively, on four streets, Daneshgah, Naderi, Peighambarieh, and Khorramshahr. The figures on the right (i.e., <b>b</b>,<b>d</b>,<b>f</b>,<b>h</b>) show the results of the Mi 8, and the figures on the left (i.e., <b>a</b>,<b>c</b>,<b>e</b>,<b>g</b>) show the results of the S21 Ultra.</p>
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<p>GNSS raw observations processed by three methods, SPP, RTK, and fusion, respectively, on four streets, Daneshgah, Naderi, Peighambarieh, and Khorramshahr. The figures on the right (i.e., <b>b</b>,<b>d</b>,<b>f</b>,<b>h</b>) show the results of the Mi 8, and the figures on the left (i.e., <b>a</b>,<b>c</b>,<b>e</b>,<b>g</b>) show the results of the S21 Ultra.</p>
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<p>Easting and Northing errors regarding the reference trajectory for the Samsung Ultra S21 (<b>a</b>,<b>c</b>), and Xiaomi Mi8 (<b>b</b>,<b>d</b>), on Daneshgah Street, respectively. The dotted line is the zero-error axis.</p>
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<p>Easting and Northing errors regarding the reference trajectory for the Samsung Ultra S21 (<b>a</b>,<b>c</b>), and Xiaomi Mi8 (<b>b</b>,<b>d</b>), on Naderi Street, respectively. The dotted line is the zero-error axis.</p>
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<p>Easting and Northing errors regarding the reference trajectory for the Samsung Ultra S21 (<b>a</b>,<b>c</b>), and Xiaomi Mi8 (<b>b</b>,<b>d</b>), on Peyghambariyeh street, respectively. The dotted line is the zero-error axis.</p>
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<p>Easting and Northing errors regarding the reference trajectory for the Samsung Ultra S21 (<b>a</b>,<b>c</b>), and Xiaomi Mi8 (<b>b</b>,<b>d</b>), on Khorramshahr Street, respectively. The dotted line is the zero-error axis.</p>
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<p>(<b>a</b>) Satellite sky plot from the Samsung S21 Ultra, and (<b>b</b>) satellite sky plot from the Xiaomi Mi8, including observations from the multi-GNSS in the first part of the operation.</p>
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22 pages, 15853 KiB  
Article
A New Precise Point Positioning with Ambiguity Resolution (PPP-AR) Approach for Ground Control Point Positioning for Photogrammetric Generation with Unmanned Aerial Vehicles
by Hasan Bilgehan Makineci, Burhaneddin Bilgen and Sercan Bulbul
Drones 2024, 8(9), 456; https://doi.org/10.3390/drones8090456 - 2 Sep 2024
Viewed by 1431
Abstract
Unmanned aerial vehicles (UAVs) are now widely preferred systems that are capable of rapid mapping and generating topographic models with relatively high positional accuracy. Since the integrated GNSS receivers of UAVs do not allow for sufficiently accurate outcomes either horizontally or vertically, a [...] Read more.
Unmanned aerial vehicles (UAVs) are now widely preferred systems that are capable of rapid mapping and generating topographic models with relatively high positional accuracy. Since the integrated GNSS receivers of UAVs do not allow for sufficiently accurate outcomes either horizontally or vertically, a conventional method is to use ground control points (GCPs) to perform bundle block adjustment (BBA) of the outcomes. Since the number of GCPs to be installed limits the process in UAV operations, there is an important research question whether the precise point positioning (PPP) method can be an alternative when the real-time kinematic (RTK), network RTK, and post-process kinematic (PPK) techniques cannot be used to measure GCPs. This study introduces a novel approach using precise point positioning with ambiguity resolution (PPP-AR) for ground control point (GCP) positioning in UAV photogrammetry. For this purpose, the results are evaluated by comparing the horizontal and vertical coordinates obtained from the 24 h GNSS sessions of six calibration pillars in the field and the horizontal length differences obtained by electronic distance measurement (EDM). Bartlett’s test is applied to statistically determine the accuracy of the results. The results indicate that the coordinates obtained from a two-hour PPP-AR session show no significant difference from those acquired in a 30 min session, demonstrating PPP-AR to be a viable alternative for GCP positioning. Therefore, the PPP technique can be used for the BBA of GCPs to be established for UAVs in large-scale map generation. However, the number of GCPs to be selected should be four or more, which should be homogeneously distributed over the study area. Full article
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<p>Workflow scheme of the PPP solution.</p>
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<p>Outcomes generated with the photogrammetric process and generation process steps: (<b>a</b>) image acquisition; (<b>b</b>) image processing; (<b>c</b>) sparse cloud; (<b>d</b>) dense cloud; (<b>e</b>) mesh model; (<b>f</b>) DEM; (<b>g</b>) orthomosaic; and (<b>h</b>) sample of orthomosaic.</p>
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<p>General workflow scheme.</p>
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<p>Study area and distribution of GCPs and pillars.</p>
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<p>(<b>a</b>) GCPs; and (<b>b</b>) pillars.</p>
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<p>The outcomes: (<b>A</b>) orthomosaic with no GCP; (<b>B</b>) orthomosaic with four GCPs; (<b>C</b>) orthomosaic with eight GCPs; (<b>D</b>) DEM with no GCP; (<b>E</b>) DEM with four GCPs; and (<b>F</b>) DEM with eight GCPs.</p>
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<p>Differences between known and measured distances without GCPs.</p>
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<p>Differences between known and measured distances with four GCPs.</p>
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<p>Differences between known and measured distances with all the GCPs.</p>
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<p>Differences between known and measured heights without GCPs.</p>
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<p>Differences between known and measured heights with four GCPs.</p>
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<p>Differences between known and measured heights with all the GCPs.</p>
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<p>Box plot for distance differences without GCPs.</p>
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<p>Box plot for distance differences with four GCPs.</p>
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<p>Box plot for distance differences with all the GCPs.</p>
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<p>Box plot for height differences without GCPs.</p>
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<p>Box plot for height differences with four GCPs.</p>
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<p>Box plot for height differences with all the GCPs.</p>
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18 pages, 7119 KiB  
Article
Multi-GNSS Precise Point Positioning with Ambiguity Resolution Based on the Decoupled Clock Model
by Shuai Liu, Yunbin Yuan, Xiaosong Guo, Kezhi Wang and Gongwei Xiao
Remote Sens. 2024, 16(16), 2999; https://doi.org/10.3390/rs16162999 - 15 Aug 2024
Viewed by 1038
Abstract
Ambiguity resolution (AR) can markedly enhance the precision of precise point positioning (PPP) and accelerate the convergence process. The decoupled clock model represents a pivotal approach for ambiguity resolution, yet current research on this topic is largely confined to GPS. Consequently, in this [...] Read more.
Ambiguity resolution (AR) can markedly enhance the precision of precise point positioning (PPP) and accelerate the convergence process. The decoupled clock model represents a pivotal approach for ambiguity resolution, yet current research on this topic is largely confined to GPS. Consequently, in this study, we extend the investigation of the decoupled clock model to multi-GNSS. Firstly, based on the conventional model, we derive the multi-GNSS decoupled clock estimation model and the precise point positioning with ambiguity resolution (PPP-AR) model. Secondly, we provide a detailed explanation of the estimation process for the multi-GNSS decoupled clock estimation. To validate the efficacy of the proposed model, we conduct multi-GNSS decoupled clock estimation and PPP-AR experiments using six days of observation data. The results demonstrate that the decoupled clocks of GPS, Galileo, and BDS-3 can all achieve high accuracy, thus fully meeting the requirement of ambiguity resolution. In terms of positioning performance, the joint three systems have higher positioning accuracy, reaching 3.10 cm and 6.13 cm in horizontal and vertical directions, respectively. Furthermore, the convergence time (CT) and time to first fix (TTFF) are shortened, to 23.13 min and 13.65 min, respectively. The experimental findings indicate that the proposed multi-GNSS decoupled clock model exhibits high precision and rapid positioning service capabilities. Full article
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<p>A schematic diagram for multi-GNSS decoupled clock estimation.</p>
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<p>Global distribution MGEX stations involved in multi-GNSS decoupled clock estimation. The blue dots indicate that the station can observe GPS signals, the green dots indicate that Galileo can be observed, and the red dots indicate that BDS-3 can be observed.</p>
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<p>Statistics on the number of stations participating in the multi-GNSS decoupled clock estimation.</p>
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<p>Comparison of computational efficiency for multi-GNSS decoupled clock estimation.</p>
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<p>Mean STD statistics for multi-GNSS decoupled clock products.</p>
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<p>Distribution map of MGEX stations for multi-GNSS PPP-AR. All of the selected stations support GPS, Galileo, and BDS-3.</p>
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<p>Comparison of PPP-AR kinematic positioning errors for station GANP based on different schemes.</p>
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<p>Kinematic positioning error distribution of GE scheme.</p>
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<p>Kinematic positioning error RMS of each station in the GE scheme.</p>
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<p>Convergence time, time to first fix, and fixing rate of each station in the GE scheme.</p>
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<p>Kinematic positioning error distribution of GEC scheme.</p>
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<p>Kinematic positioning error RMS of each station in the GEC scheme.</p>
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<p>Convergence time, time to first fix, and fixing rate of each station in the GEC scheme.</p>
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17 pages, 4629 KiB  
Article
A Method for Constructing an Empirical Model of Short-Term Offshore Ocean Tide Loading Displacement Based on PPP
by Hai Wang, Xingyuan Yan, Meng Yang, Wei Feng and Min Zhong
Remote Sens. 2024, 16(16), 2998; https://doi.org/10.3390/rs16162998 - 15 Aug 2024
Viewed by 723
Abstract
The ocean tide loading (OTL) can result in displacements of centimeters or even decimeters at nearshore stations. Global ocean tide models exhibit errors in nearshore regions, which limit the accuracy of maintaining the coordinates of these stations. GNSS positioning can obtain tidal load [...] Read more.
The ocean tide loading (OTL) can result in displacements of centimeters or even decimeters at nearshore stations. Global ocean tide models exhibit errors in nearshore regions, which limit the accuracy of maintaining the coordinates of these stations. GNSS positioning can obtain tidal load displacements in nearshore areas, but it often requires long-term observation data and cannot provide timely correction models for newly established reference stations. This paper proposes a method for an empirical correction model of short-term OTL displacements using GNSS observations, where the kinematic coordinate sequences are first obtained by multi-GNSS precise point positioning with ambiguity resolution (PPP-AR), and then the OTL corrections are obtained by window-sliding forecast based on random forest modeling. Through experiments conducted in the Hong Kong region, the empirical model with a window of 15 days is established by the proposed method. After applying the empirical model, root mean square errors of the residuals are reduced by 1.5 (30.6%), 3.7 (53.6%), and 3.7 mm (37.8%) in the East, North, and Up (ENU) components, respectively. When using the global ocean tide model FES2014, the RMSE values are reduced by 1.2 (24.5%), 0.3 (4.3%), and 3.7 mm (37.8%) in the ENU components, respectively. The empirical model shows better effects for the OTL displacement compared to FES2014, especially in the N component, with an improvement ratio of about 49.3%. Full article
(This article belongs to the Special Issue Multi-GNSS Precise Point Positioning (MGPPP))
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<p>The detailed workflow of the proposed modeling method.</p>
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<p>The fundamental principle of random forest regression.</p>
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<p>The distribution of 9 mountain-top stations in Hong Kong.</p>
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<p>Coordinate sequences for each station during the first seven days in 2021.</p>
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<p>Correlation coefficients between different stations: left, middle, and right panels are for ENU components.</p>
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<p>Average displacement series in the ENU direction for the nine stations.</p>
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<p>The correlation coefficient calculation results for displacement sequences of different durations were used to determine the length of the empirical model.</p>
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<p>Model construction and updates.</p>
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<p>Training accuracy of the model. Colored lines represent training data and the black lines represent the empirical model.</p>
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<p>Comparison of correction effects among different models.</p>
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23 pages, 11632 KiB  
Article
Detailed Investigation on Ambiguity Validation of Long-Distance RTK
by Shengyue Ji, Jing Wang, Duojie Weng and Wu Chen
Remote Sens. 2024, 16(16), 2982; https://doi.org/10.3390/rs16162982 - 14 Aug 2024
Viewed by 784
Abstract
Long-distance Real-Time Kinematic (RTK) positioning is crucial for applications in remote areas, such as maritime environments. Achieving 2–3 cm accuracy with RTK requires successful ambiguity resolution, which involves two main steps: identifying the best integer ambiguity candidate and confirming its validity. While previous [...] Read more.
Long-distance Real-Time Kinematic (RTK) positioning is crucial for applications in remote areas, such as maritime environments. Achieving 2–3 cm accuracy with RTK requires successful ambiguity resolution, which involves two main steps: identifying the best integer ambiguity candidate and confirming its validity. While previous research has largely concentrated on the first step, including the development of Cascading Ambiguity Resolution methods, and reducing tropospheric delay, studies on the validation of ambiguity for long-distance RTK are limited. This study conducts a thorough examination of ambiguity validation for long-distance RTK, focusing on two prevalent methods: the theoretical success rate and the R-ratio test. The results reveal several key insights. Firstly, the six commonly used bounds for the theoretical success rate are not an accurate reflection of the actual success rate, making them unsuitable for long-distance RTK applications. Secondly, the R-ratio test proves to be dependable when the threshold is set above 1.7, assuming there is a minimum observation period of one minute and at least ten satellites are visible. However, the probability of successfully resolving ambiguities with the R-ratio test does not surpass 50%. Additionally, if ambiguity resolution is not achieved within 20 min, simply prolonging the observation time is generally unproductive. To improve the performance of ambiguity resolution in practical situations that require extended observation times, this research proposes a novel ambiguity validation method. This new approach is based on the duration for which an integer ambiguity resolution candidate maintains the best status. This method aims to provide a reliable means of validating ambiguities in cases where the R-ratio test fails. Full article
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<p>Positioning errors of experimental case No. 125.</p>
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<p>Global distribution of the experimental baselines.</p>
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<p>Positioning errors of experimental case No. 38 (dual frequency).</p>
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<p>Minimum required time to fix ambiguity (<b>left</b>: dual frequency; <b>right</b>: multiple frequency).</p>
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<p>Statistics of the minimum required time to fix ambiguity.</p>
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<p>Maximum R-ratio in one hour and one minute (dual frequency).</p>
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<p>Maximum R-ratio in one hour and one minute (multiple frequency).</p>
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<p>Statistics of the maximum R-ratio.</p>
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<p>Convergence time with the best integer and float ambiguity resolution in the horizontal directions (<b>left</b>: dual frequency; <b>right</b>: multiple frequency).</p>
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<p>Convergence time with the best integer and float ambiguity resolution in the vertical direction (<b>left</b>: dual frequency; <b>right</b>: multiple frequency).</p>
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<p>Positioning RMS in the latter half hour in the east.</p>
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<p>Positioning RMS in the latter half hour in the north.</p>
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<p>Positioning RMS in the latter half hour in the vertical direction.</p>
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<p>Success rate of experimental case No. 88 (dual frequency).</p>
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<p>Minimum required time for <math display="inline"><semantics> <mrow> <msub> <mi>P</mi> <mrow> <mi>A</mi> <mi>p</mi> <mi>p</mi> <mi>r</mi> <mi>o</mi> <mi>x</mi> <mi>i</mi> <mi>m</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> </mrow> </msub> </mrow> </semantics></math> to reach 99.999% (<b>left</b>: dual frequency; <b>right</b>: multiple frequency).</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mi>P</mi> <mrow> <mi>L</mi> <mi>o</mi> <mi>w</mi> <mi>e</mi> <mi>r</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> after one hour (<b>left</b>: dual frequency; <b>right</b>: multiple frequency).</p>
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<p>Statistics of <math display="inline"><semantics> <mrow> <msub> <mi>P</mi> <mrow> <mi>L</mi> <mi>o</mi> <mi>w</mi> <mi>e</mi> <mi>r</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> after one hour (<b>left</b>: dual frequency; <b>right</b>: multiple frequency).</p>
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<p>Minimum time required to exceed different R-ratio thresholds (dual frequency).</p>
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<p>Minimum time required to exceed different R-ratio thresholds (multiple frequency).</p>
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<p>Duration needed to first exceed various R-ratio thresholds (dual frequency).</p>
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<p>Duration needed to first exceed various R-ratio thresholds (multiple frequency).</p>
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<p>Positioning error with the best integer ambiguity resolution of case No. 31 (multiple frequency).</p>
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<p>The longest duration vs. the second longest of being the best integer ambiguity resolution (<b>left</b>: dual frequency; <b>right</b>: multiple frequency).</p>
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19 pages, 271 KiB  
Article
Inhibiting Factors to the Implementation of Preferential Procurement Policy in the South African Construction Industry
by Lebogang Joseph Tau, Babatunde Fatai Ogunbayo and Clinton Ohis Aigbavboa
Buildings 2024, 14(8), 2392; https://doi.org/10.3390/buildings14082392 - 2 Aug 2024
Viewed by 883
Abstract
The South African preferential procurement policy emerged from the demand for transparency, fair competition, value-for-money, standardised and benchmark pricing, and regulation of public procurement arrangements in the construction industry. The policy aims to address historical inequalities, support economic growth, and foster sustainable development. [...] Read more.
The South African preferential procurement policy emerged from the demand for transparency, fair competition, value-for-money, standardised and benchmark pricing, and regulation of public procurement arrangements in the construction industry. The policy aims to address historical inequalities, support economic growth, and foster sustainable development. The effectiveness of the preferential procurement policy in South Africa is affected by the inhibiting factors of its implementation system. Given this, this study assesses the factors inhibiting preferential procurement policy implementation in the South African construction industry. This study reviewed the extant literature from online databases as a secondary data source to identify and understand the factors inhibiting procurement policy implementation. A quantitative research design using a closed-ended survey questionnaire surveyed 31 identified inhibiting factors affecting procurement policy implementation from the literature review. One hundred sixty-seven (167) questionnaires were retrieved from two hundred (200) distributed, representing an 83.5 per cent response rate, distributed through Google Forms to the respondents in Northwest Province, South Africa. The reliability of the data collection instrument was determined using Bartlett’s sphericity, Cronbach’s alpha, and Kaiser–Meyer–Olkin tests. The exploratory factor analysis findings established eight components from the 31 identified inhibiting factors affecting procurement policy implementation, which are the absence of due diligence in procurement screening, corruption and political interference in procurement systems, an ineffective regulatory framework supporting public procurement policy, discrepancies in award of contracts and the absence of dispute resolution, ambiguity in procurement selection criteria, poor enforcement mechanisms, cost discrepancies in advance payment, and excessive bureaucracy in procurement documentation. This study’s practical implications provide an understanding of establishing and prioritising procurement selection criteria, such as project requalification requirements, cost performance requirements, technology integration in the prequalification process, and contract change order requirements, which would improve procurement systems in the South African construction industry. Full article
(This article belongs to the Section Architectural Design, Urban Science, and Real Estate)
23 pages, 8720 KiB  
Article
Mitigation of Suppressive Interference in AMPC SAR Based on Digital Beamforming
by Zhipeng Xiao, Feng He, Zaoyu Sun and Zehua Zhang
Remote Sens. 2024, 16(15), 2812; https://doi.org/10.3390/rs16152812 - 31 Jul 2024
Viewed by 858
Abstract
Multichannel Synthetic Aperture Radar (MC-SAR) systems, such as Azimuth Multi-Phase Centre (AMPC) SAR, provide an effective solution for achieving high-resolution wide-swath (HRWS) imaging by reducing the pulse repetition frequency (PRF) to increase the swath width. However, in an Electronic Countermeasures (ECM) environment, the [...] Read more.
Multichannel Synthetic Aperture Radar (MC-SAR) systems, such as Azimuth Multi-Phase Centre (AMPC) SAR, provide an effective solution for achieving high-resolution wide-swath (HRWS) imaging by reducing the pulse repetition frequency (PRF) to increase the swath width. However, in an Electronic Countermeasures (ECM) environment, the image quality of multichannel SAR systems can be significantly degraded by electromagnetic interference. Previous research into interference and counter-interference techniques has predominantly focused on single-channel SAR systems, with relatively few studies addressing the specific challenges faced by MC-SAR systems. This paper uses the classical spatial filtering technique of adaptive digital beamforming (DBF). Considering the Doppler ambiguity present in the echoes, two schemes—Interference Reconstruction And Cancellation (IRC) and Channel Grouping Nulling (CGN)—are designed to effectively eliminate suppressive interference. The IRC method eliminates the effects of interference without losing spatial degrees of freedom, ensuring effective suppression of Doppler ambiguity in subsequent processing. This method shows significant advantages under conditions of strong Doppler ambiguity and low jammer-to-signal ratio. Conversely, the CGN method mitigates the effect of interference on multichannel imaging at the expense of degrees of freedom redundant to Doppler ambiguity suppression. It shows remarkable interference suppression performance under weak-Doppler-ambiguity conditions, allowing for better image recovery. Simulations performed on point and distributed targets have validated that the proposed methods can effectively remove interfering signals and achieve high-resolution wide-swath (HRWS) SAR images. Full article
Show Figures

Figure 1

Figure 1
<p>Geometric model of the echo signal.</p>
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<p>Geometric illustration of the relationship between the other channels and the reference channel.</p>
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<p>Schematic diagram of space–time two-dimensional spectrum and Doppler aliasing.</p>
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<p>Schematic diagram of spectrum reconstruction using DBF network.</p>
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<p>Processing flow of the Interference Reconstruction And Cancellation method.</p>
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<p>Illustration of channel grouping for null steering.</p>
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<p>Illustration of the point target simulation scenario.</p>
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<p>Observed scene. (<b>a</b>) Multichannel image reconstruction without interference; (<b>b</b>) interfer ence with multichannel reconstructed images.</p>
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<p>Imaging result of the point target simulation. (<b>a</b>) Result of CBF at 60 dB JSR, PRF = 200 Hz; (<b>b</b>) result of IRC at 60 dB JSR, PRF = 200 Hz; (<b>c</b>) result of IRC at 60 dB JSR, PRF = 400 Hz; (<b>d</b>) results of CBF at 60 dB JSR, PRF = 400 Hz; (<b>e</b>) results of CGN at 60 dB JSR, PRF = 200 Hz; (<b>f</b>) results of CGN at 60 dB JSR, PRF = 400 Hz.</p>
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<p>The cross−sections of point targets in the azimuth and range directions. (<b>a</b>) The azimuthal cross−section of the IRC; (<b>b</b>) the range cross−section of the IRC; (<b>c</b>) the azimuthal cross−section of the CGN; (<b>d</b>) the range cross−section of the CGN; (<b>e</b>) partial enlargement of the red dashed box in (<b>a</b>); (<b>f</b>) partial enlargement of the red dashed box in (<b>b</b>); (<b>g</b>) partial enlargement of the red dashed box in (<b>c</b>); (<b>h</b>) partial enlargement of the red dashed box in (<b>d</b>).</p>
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<p>Distributed target scene. (<b>a</b>) Interference−free SAR image; (<b>b</b>) interference−polluted SAR image.</p>
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<p>The image results of interference suppression. (<b>a</b>) CBF at 40 dB JSR, PRF = 200 Hz; (<b>b</b>) CBF at 40 dB JSR, PRF = 400 Hz; (<b>c</b>) CBF at 60 dB JSR, PRF = 400 Hz; (<b>d</b>) IRC at 40 dB JSR, PRF = 200 Hz; (<b>e</b>) IRC at 40 dB JSR, PRF = 400 Hz; (<b>f</b>) IRC at 60 dB JSR, PRF = 400 Hz; (<b>g</b>) CBF at 40 dB JSR, PRF = 200 Hz; (<b>h</b>) CBF at 40 dB JSR, PRF = 400 Hz; (<b>i</b>) CBF at 60 dB JSR, PRF = 400 Hz; (<b>j</b>) CGN at 40 dB JSR, PRF = 200 Hz; (<b>k</b>) CGN at 40 dB JSR, PRF = 400 Hz; (<b>l</b>) CGN at 60 dB JSR, PRF = 400 Hz.</p>
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<p>The image results of interference suppression. (<b>a</b>) CBF at 40 dB JSR, PRF = 200 Hz; (<b>b</b>) CBF at 40 dB JSR, PRF = 400 Hz; (<b>c</b>) CBF at 60 dB JSR, PRF = 400 Hz; (<b>d</b>) IRC at 40 dB JSR, PRF = 200 Hz; (<b>e</b>) IRC at 40 dB JSR, PRF = 400 Hz; (<b>f</b>) IRC at 60 dB JSR, PRF = 400 Hz; (<b>g</b>) CBF at 40 dB JSR, PRF = 200 Hz; (<b>h</b>) CBF at 40 dB JSR, PRF = 400 Hz; (<b>i</b>) CBF at 60 dB JSR, PRF = 400 Hz; (<b>j</b>) CGN at 40 dB JSR, PRF = 200 Hz; (<b>k</b>) CGN at 40 dB JSR, PRF = 400 Hz; (<b>l</b>) CGN at 60 dB JSR, PRF = 400 Hz.</p>
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