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27 pages, 7925 KiB  
Article
A Distributed Collaborative Navigation Strategy Based on Adaptive Extended Kalman Filter Integrated Positioning and Model Predictive Control for Global Navigation Satellite System/Inertial Navigation System Dual-Robot
by Wanqiang Chen, Yunpeng Jing, Shuo Zhao, Lei Yan, Quancheng Liu and Zichang He
Remote Sens. 2025, 17(4), 721; https://doi.org/10.3390/rs17040721 - 19 Feb 2025
Abstract
In the field of multi-robot cooperative localization and task planning, traditional filtering algorithms encounter synchronization and consistency issues during multi-source data fusion. These challenges result in cumulative localization errors and inefficient information sharing, which limits the system’s collaborative capabilities and control accuracy. To [...] Read more.
In the field of multi-robot cooperative localization and task planning, traditional filtering algorithms encounter synchronization and consistency issues during multi-source data fusion. These challenges result in cumulative localization errors and inefficient information sharing, which limits the system’s collaborative capabilities and control accuracy. To overcome these limitations, a distributed cooperative navigation strategy is introduced. Initially, a Distributed Adaptive Extended Kalman Filter (DAEKF) is implemented, which adaptively adjusts the noise covariance matrix to effectively manage nonlinearities and multi-source noise conditions. Subsequently, a Distributed Model Predictive Control (DMPC) framework is introduced. This framework predicts and optimizes each robot’s kinematic model, thereby improving the system’s collaborative operations and dynamic decision-making capabilities. Finally, the efficacy of this strategy is confirmed through detailed simulations and robotic experiments. The simulation results for cooperative localization demonstrate that DAEKF outperforms Kalman Filter (KF) and Extended Kalman Filter (EKF) in terms of localization accuracy. In the straight-line path-tracking experiments, DAEKF effectively reduced both lateral and heading errors for both robots. For Robot 1, DAEKF reduced the lateral error Root Mean Squared Error (RMSE) by 68.87%, 27.80%, and 25.76%, compared to No Filtering, KF, and EKF. In heading error, DAEKF reduced the RMSE by 52.29%, 41.89%, and 36.47%. For Robot 2, DAEKF reduced the lateral error RMSE by 51.30%, 22.88%, and 11.60%, compared to No Filtering, KF, and EKF. In heading error, DAEKF reduced the RMSE by 39.55%, 37.15%, and 26.00%. In the curved path-tracking experiments, both robots demonstrated high trajectory conformity while traveling along a predefined path combining straight-line and circular arc segments, with lateral errors in the straight-line segments all below 0.05 m. The strategy proposed in this study significantly enhanced the precision and stability of multi-robot collaborative navigation, demonstrating strong practicality and scalability. Full article
(This article belongs to the Special Issue Satellite Navigation and Signal Processing (Second Edition))
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<p>Schematic diagram of the DAEKF framework for dual-robot systems.</p>
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<p>Schematic diagram of DMPC framework for dual-robot systems.</p>
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<p>Structure and information flow diagram of the dual-robot system.</p>
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<p>RTK–GNSS base station and robotic control hardware configuration. (<b>a</b>) RTK–GNSS base station setup; (<b>b</b>) hardware composition of the experimental robots.</p>
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<p>Analysis of front wheel steering tracking performance and experimental pathways. (<b>a</b>) steering angle tracking for robot 1; (<b>b</b>) steering angle tracking for robot 2.</p>
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<p>Experimental robots in operation and path tracking. (<b>a</b>) Experimental robots in field operation; (<b>b</b>) dual straight-line and curved experimental pathways.</p>
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<p>Simulation-based path tracking performance of robot 1 and robot 2 under different filtering strategies.</p>
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<p>Noise matrix variation during the DAEKF adaptive noise estimation process. (<b>a</b>) Adaptive adjustment of process noise covariance matrix Q; (<b>b</b>) adaptive adjustment of measurement noise covariance matrix R.</p>
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<p>Localization error analysis under different filtering strategies. (<b>a</b>) X-axis error of robot 1; (<b>b</b>) Y-axis error of robot 1; (<b>c</b>) X-axis error of robot 2; (<b>d</b>) Y-axis error of robot 2.</p>
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<p>Localization error comparison of different filtering methods. (<b>a</b>) X-axis error comparison; (<b>b</b>) Y-axis error comparison.</p>
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<p>Experimental path-tracking performance of robot 1 and robot 2 along a subset of the trajectory under different filtering strategies.</p>
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<p>Control performance and coordination of robot 1 and robot 2 during path tracking. (<b>a</b>) Steering angle of robot 1; (<b>b</b>) steering angle of robot 1; (<b>c</b>) offset distance between robot 1 and robot 2; (<b>d</b>) velocity of robot 1 and robot 2.</p>
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<p>Dynamic adjustment of noise in DAEKF filtering. (<b>a</b>) Measurement noise R<sub>d</sub>; (<b>b</b>) process noise Q<sub>d</sub>; (<b>c</b>) measurement noise R<sub>d</sub>; (<b>d</b>) process noise Q<sub>a</sub>.</p>
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<p>Experimental localization performance analysis under different filtering strategies. (<b>a</b>) Lateral error of robot 1; (<b>b</b>) lateral error of robot 2; (<b>c</b>) heading error of robot 1; (<b>d</b>) heading error of robot 2.</p>
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<p>Comparison of lateral and heading errors for robot 1 and robot 2. (<b>a</b>) Lateral error comparison; (<b>b</b>) heading error comparison.</p>
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<p>Comparison of lateral and heading errors for robot 1 and robot 2 across different control methods. (<b>a</b>) Lateral error comparison; (<b>b</b>) heading error comparison.</p>
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<p>Experimental dual-loop path-tracking performance of robot 1 and robot 2. (<b>a</b>) Path tracking of robot 1; (<b>b</b>) path tracking of robot 2; (<b>c</b>) lateral error of robot 1 during path tracking; (<b>d</b>) lateral error of robot 2 during path tracking.</p>
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21 pages, 15426 KiB  
Article
Numerical Simulation on Aerodynamic Noise of (K)TS Control Valves in Natural Gas Transmission and Distribution Stations in Southwest China
by Xiaobo Feng, Lu Yu, Hui Cao, Ling Zhang, Yizhi Pei, Jingchen Wu, Wenhao Yang and Junmin Gao
Energies 2025, 18(4), 968; https://doi.org/10.3390/en18040968 - 17 Feb 2025
Viewed by 169
Abstract
Fluid dynamic noise produced by eddy disturbances and friction along pipe walls poses a significant challenge in natural gas transmission and distribution stations. (K)TS control valves are widely used in natural gas transmission and distribution stations across Southwest China and are among the [...] Read more.
Fluid dynamic noise produced by eddy disturbances and friction along pipe walls poses a significant challenge in natural gas transmission and distribution stations. (K)TS control valves are widely used in natural gas transmission and distribution stations across Southwest China and are among the primary sources of noise in these facilities. In this study, a 3D geometric model of the (K)TS valve was developed, and the gas flow characteristics were simulated to analyze the gas flow field and sound field within the valve under varying pipeline flow velocities, outlet pressures, and valve openings. The results demonstrate that accurate calculations of the 3D valve model can be achieved with a grid cell size of 3.6 mm and a boundary layer set to 3. The noise-generating regions of the valve are concentrated around the throttle port, valve chamber, and valve inlet. The primary factors contributing to the aerodynamic noise include high gas flow velocity gradients, intense turbulence, rapid turbulent energy dissipation, and vortex formation and shedding within the valve. An increase in inlet flow velocity intensifies turbulence and energy dissipation inside the valve, while valve opening primarily influences the size of vortex rings in the valve chamber and throttle outlet. In contrast, outlet pressure exerts a relatively weak effect on the flow field characteristics within the valve. Under varying operating conditions, the noise directivity distribution remains consistent, exhibiting symmetrical patterns along the central axis of the flow channel and forming six-leaf or four-leaf flower shapes. As the distance from the monitoring point to the valve increases, noise propagation becomes more concentrated in the vertical direction of the valve. These findings provide a theoretical basis for understanding the mechanisms of aerodynamic noise generation within (K)TS control valves during natural gas transmission, and can also offer guidance for designing noise reduction solutions for valves. Full article
(This article belongs to the Topic Oil and Gas Pipeline Network for Industrial Applications)
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<p>Valve structure (<b>A</b>) and the positive profile of valve pipeline and flow channel extraction (<b>B</b>).</p>
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<p>Schematic diagram of simulation calculation process.</p>
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<p>The polyhedral grids of flow channel (<b>a</b>, <b>b</b>, <b>c</b>, <b>d</b>, <b>e</b>, <b>f</b>, and <b>g</b> represent grids 1, 2, 3, 4, 5, 6, and 7, respectively).</p>
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<p>The variation of flow rate and the calculated deviation with the number of grids.</p>
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<p>Comparison of the SPL between simulation and actual measurement at a distance of 1 m from the valve.</p>
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<p>(<b>A</b>) Velocity profile of different sections in the flow channel. (<b>B</b>) Static pressure distribution diagram of different sections. (<b>C</b>) Dynamic pressure distribution diagram of different sections.</p>
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<p>(<b>A</b>) The vortex structure in flow channel. (<b>B</b>) The distribution of turbulent kinetic energy and turbulent dissipation rate at section.</p>
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<p>(<b>A</b>) Velocity profile of different sections in the flow channel. (<b>B</b>) Vortex structure under different inlet flow velocities.</p>
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<p>(<b>A</b>) Velocity distribution at section X = 0 under different outlet pressures. (<b>B</b>) Vortex structure under different outlet pressures.</p>
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<p>Changes in velocity (<b>A</b>), turbulence kinetic energy (<b>B</b>), and turbulence dissipation rate (<b>C</b>) on streamlines under different outlet pressure.</p>
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<p>(<b>A</b>) Velocity distribution of different valve positions at section X = 0 and Z = 0. (<b>B</b>) Vortex structure with different valve openings.</p>
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<p>Sound power level distribution at section X = 0 under different operating conditions.</p>
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<p>Sound power levels varying with Z-coordinates under different operating conditions: (<b>A</b>) sound power levels at different pipe flow velocities; (<b>B</b>) sound power levels at different outlet pressures; (<b>C</b>) sound power levels with different valve openings.</p>
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<p>(<b>A</b>) Time-domain fluctuation distribution of sound pressure under different flow velocities. (<b>B</b>) Time-domain fluctuation distribution of sound pressure under different outlet pressures. (<b>C</b>) Time-domain fluctuation distribution of sound pressure with different valve openings.</p>
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<p>Directional analysis of noise under different flow velocities, outlet pressures, and valve openings.</p>
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19 pages, 3933 KiB  
Article
A Fully Coupled Electro-Vibro-Acoustic Benchmark Model for Evaluation of Self-Adaptive Control Strategies
by Thomas Kletschkowski
J 2025, 8(1), 6; https://doi.org/10.3390/j8010006 - 17 Feb 2025
Viewed by 184
Abstract
The reduction of noise and vibration is possible with passive, semi-active and active control strategies. Especially where self-adaptive control is required, it is necessary to evaluate the noise reduction potential before the control approach is applied to the real-world problem. This evaluation can [...] Read more.
The reduction of noise and vibration is possible with passive, semi-active and active control strategies. Especially where self-adaptive control is required, it is necessary to evaluate the noise reduction potential before the control approach is applied to the real-world problem. This evaluation can be based on a virtual model that contains all relevant sub-systems, transfer paths and coupling effects on the one hand. On the other hand, the complexity of such a model has to be limited to focus on principal findings such as convergence speed, power consumption, and noise reduction potential. The present paper proposes a fully coupled electro-vibro-acoustic model for the evaluation of self-adaptive control strategies. This model consists of discrete electrical and mechanical networks that are applied to model the electro-acoustic behavior of noise and anti-noise sources. The acoustic field inside a duct, terminated by these electro-acoustic sources, is described by finite elements. The resulting multi-physical model is capable of describing all relevant coupling effects and enables an efficient evaluation of different control strategies such as the local control of sound pressure or active control of acoustic absorption. It is designed as a benchmark model for the benefit of the scientific community. Full article
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<p>Topological model of system (top) and electro-vibro-acoustical model (bottom).</p>
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<p>Resonance frequencies of the uncontrolled system.</p>
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<p>Normalized mode shapes in resonance.</p>
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<p>System input and system output without self-adaptive control.</p>
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<p>IR and resonance frequencies of the uncontrolled system.</p>
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<p>Modelling of system response without active control.</p>
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<p>Active control of local sound pressure—time-history of simulation.</p>
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<p>Frequency domain illustration of active control of local sound pressure.</p>
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<p>Active control of local absorption—time-history of simulation.</p>
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<p>Frequency domain illustration of active control of local absorption.</p>
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14 pages, 12613 KiB  
Communication
Deploying an Integrated Fiber Optic Sensing System for Seismo-Acoustic Monitoring: A Two-Year Continuous Field Trial in Xinfengjiang
by Siyuan Cang, Min Xu, Jiantong Chen, Chao Li, Kan Gao, Xingda Jiang, Zhaoyong Wang, Bin Luo, Zhuo Xiao, Zhen Guo, Ying Chen, Qing Ye and Huayong Yang
J. Mar. Sci. Eng. 2025, 13(2), 368; https://doi.org/10.3390/jmse13020368 - 17 Feb 2025
Viewed by 144
Abstract
Distributed Acoustic Sensing (DAS) offers numerous advantages, including resistance to electromagnetic interference, long-range dynamic monitoring, dense spatial sensing, and low deployment costs. We initially deployed a water–land DAS system at the Xinfengjiang (XFJ) Reservoir in Guangdong Province, China, to monitor earthquake events. Environmental [...] Read more.
Distributed Acoustic Sensing (DAS) offers numerous advantages, including resistance to electromagnetic interference, long-range dynamic monitoring, dense spatial sensing, and low deployment costs. We initially deployed a water–land DAS system at the Xinfengjiang (XFJ) Reservoir in Guangdong Province, China, to monitor earthquake events. Environmental noise analysis identified three distinct noise zones based on deployment conditions: periodic 18 Hz signals near surface-laid segments, attenuated low-frequency signals (<10 Hz) in the buried terrestrial sections, and elevated noise at transition zones due to water–cable interactions. The system successfully detected hundreds of teleseismic and regional earthquakes, including a Mw7.3 earthquake in Hualien and a local ML0.5 microseismic event. One year later, the DAS system was upgraded with two types of spiral sensor cables at the end of the submarine cable, extending the total length to 5.51 km. The results of detecting both active (transducer) and passive sources (cooperative vessels) highlight the potential of integrating DAS interrogators with spiral sensor cables for the accurate tracking of underwater moving targets. This field trial demonstrates that DAS technology holds promise for the integrated joint monitoring of underwater acoustics and seismic signals beneath lake or ocean bottoms. Full article
(This article belongs to the Section Marine Environmental Science)
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<p>Deployment diagram of the DAS system layout. (<b>a</b>) Satellite image of the XFJ Reservoir, showing the DAS optical cable route, which includes 400 m of optical communication cable (light blue), 5 km of submarine cable (green), 10 m of Type I spiral sensor cable (black), and 100 m of Type II spiral sensor cable (brown). (<b>b</b>) Location of the UGL-3C three-component node seismometer on land, marked by the brown triangle. (<b>c</b>) Satellite image of the XFJ reservoir engine room and the water entry point of the optical cable. (<b>d</b>) DAS interrogator.</p>
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<p>Cross-sectional diagram illustrating the depth profile of the XFJ Reservoir. The average depth of the reservoir is approximately 55 m, and its maximum depth is approximately 87 m.</p>
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<p>Schematic of the spiral sensor cable.</p>
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<p>The 21 months of monitoring data recorded in our DAS system (from September 2022 to May 2024) are represented by light blue squares. These indicate the dates on which the DAS system was operational and successfully collected data. The absence of data on the specified date is attributable to a power failure interrupt or system maintenance.</p>
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<p>(<b>a</b>) depicts the cumulative results of noise energy in the 620-channel data from the DAS system in February 2023. (<b>b</b>) Spatial variation in the normalized energy in the 620-channel data from the DAS system. (<b>c</b>) presents a comparative analysis of spectrum diagrams of different channels (channels 50, 110, 130, 260) of land-laid optical cables, including both security cables and submarine cables. (<b>d</b>) provides a comparative analysis of spectrum diagrams of different channels of DAS. (<b>e</b>) illustrates the distribution of energy within the February time cycle. (<b>f</b>) depicts the distribution of energy within the February time cycle, focusing on channel 30.</p>
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<p>The ML 3.1 earthquake occurred at the center of the XFJ Reservoir, as observed by the XFJ DAS system at 01:13:36 on 4 July 2023, recorded 3 s before the rapid report from the local seismic station. (<b>a</b>–<b>c</b>) show waterfall diagrams of the ML 3.1 earthquake based on DAS monitoring data on 4 July 2023. (<b>a</b>) shows the arrival time of the first arrivals of the earthquake, represented by bright lines, clearly distinguished by yellow and blue stripes. (<b>b</b>) shows the arrival time of the main wave of the earthquake, where the yellow and blue stripes in the middle represent the wave propagation. (<b>c</b>) shows the signal at the end of the earthquake, with a gradual attenuation of the waveform stripes until they disappear completely. The horizontal axis in the figure represents distance (in meters), while the vertical axis represents time (in seconds). These three images make it possible to observe the propagation characteristics and energy distribution of the seismic waves at different times. (<b>d</b>) The relative position between the temporary earthquake center and the DAS cable. (<b>e</b>) The earthquake was identified using the STA/LTA method. (<b>f</b>) The fitted line of the ML 3.1 earthquake in Heyuan City, Guangdong Province at 01:13:39 on 4 July 2023. The fitted slope is 0.0002721, corresponding to an apparent velocity of 3671 m/s.</p>
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<p>On 3 April 2024, the Mw 7.3 earthquake was recorded by the DAS system in Hualien County, Taiwan Province. (<b>a</b>) The phase change recorded in DAS channel 310 is shown, with P and S waves clearly visible and a relatively high signal-to-noise ratio. (<b>b</b>) The spectrogram of the phase change recorded in DAS channel 310 is shown by short-time Fourier transform, with clear P and S wave frequencies up to 20 Hz. (<b>c</b>) The waterfall shows the 620 channels recorded along the entire 5.51 km DAS cable.</p>
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<p>On 15 May 2024, our DAS system recorded a small local ML0.5 earthquake at the XFJ Reservoir in Heyuan City, Guangdong Province. (<b>a</b>) The phase change recorded in DAS channel 250 is shown, where P and S waves are clearly visible and have a relatively high signal-to-noise ratio. (<b>b</b>) The spectrogram of the phase change recorded in DAS channel 250 is shown by short-time Fourier transform, with clear P and S wave frequencies up to 35 Hz. (<b>c</b>) The waterfall shows the 620 channels recorded along the entire 5.51 km DAS cable.</p>
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<p>Time–frequency analysis results of six consecutive channels (483–488) in the DAS system.</p>
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<p>Time–frequency analysis results for channel 486 data from the DAS system. (<b>a</b>) Original time–frequency analysis result. (<b>b</b>) Adaptive noise suppression and line spectrum enhancement result.</p>
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<p>Waterfall diagrams of vessel movement test data recorded by the DAS system on 5 June 2023.</p>
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<p>(<b>a</b>) Power Spectral Density result for channel 550 data from the DAS system. (<b>b</b>) Time–frequency analysis result of channel 550 data of the DAS system. The line spectrum of cooperating fishing vessels from 100 Hz to 1000 Hz can be observed. (<b>c</b>) Comparison of the response to anomalous signals between a spiral sensor cable (channels 540,590, and 610) and an ordinary submarine cable (channels 480, 500, and 525). (<b>a</b>–<b>c</b>) were all recorded between 10:55:59 and 10:56:49 on 5 June 2023.</p>
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33 pages, 2411 KiB  
Review
Advances in the Application of Intelligent Algorithms to the Optimization and Control of Hydrodynamic Noise: Improve Energy Efficiency and System Optimization
by Maosen Xu, Bokai Fan, Renyong Lin, Rong Lin, Xian Wu, Shuihua Zheng, Yunqing Gu and Jiegang Mou
Appl. Sci. 2025, 15(4), 2084; https://doi.org/10.3390/app15042084 - 17 Feb 2025
Viewed by 91
Abstract
Hydrodynamic noise is induced by hydrodynamic phenomena, such as pressure fluctuations, shear layers, and eddy currents, which have a significant impact on ship performance, pumping equipment efficiency, detection accuracy, and the living environment of marine organisms. Specifically, hydrodynamic noise increases fluid resistance around [...] Read more.
Hydrodynamic noise is induced by hydrodynamic phenomena, such as pressure fluctuations, shear layers, and eddy currents, which have a significant impact on ship performance, pumping equipment efficiency, detection accuracy, and the living environment of marine organisms. Specifically, hydrodynamic noise increases fluid resistance around the hull, reduces speed and fuel efficiency, and affects the stealthiness of military vessels; whereas, in pumping equipment, noise generation is usually accompanied by energy loss and mechanical vibration, resulting in reduced efficiency and accelerated wear and tear of the equipment. Traditional physical experiments, theoretical modeling, and numerical simulation methods occupy a key position in hydrodynamic noise research, but each have their own limitations: physical experiments are limited by experimental conditions, which make it difficult to comprehensively reproduce the characteristics of the complex flow field; theoretical modeling appears to be simplified and idealized to cope with the multiscale noise mechanism; and numerical simulation methods, although accurate, are deficient in the sense that they are computationally expensive and difficult to adapt to complex boundary conditions. In recent years, intelligent algorithms represented by data-driven algorithms and heuristic algorithms have gradually emerged, showing great potential for development in hydrodynamic noise optimization applications. To this end, this paper systematically reviews progress in the application of intelligent algorithms in hydrodynamic noise research, focusing on their advantages in the optimal design of noise sources, noise prediction, and control strategy optimization. Meanwhile, this paper analyzes the problems of data scarcity, computational efficiency, and model interpretability faced in the current research, and looks forward to the possible improvements brought by hybrid methods, including physical information neural networks, in future research directions. It is hoped that this review can provide useful references for theoretical research and practical engineering applications involving hydrodynamic noise, and point the way toward further exploration in related fields. Full article
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<p>A high-Reynolds-number turbulent boundary layer moving from left to right [<a href="#B25-applsci-15-02084" class="html-bibr">25</a>].</p>
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<p>Numerical and experimental results of vortex shedding [<a href="#B31-applsci-15-02084" class="html-bibr">31</a>]: (<b>a</b>) the velocity distribution; (<b>b</b>) the flow state at the outlet.</p>
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<p>Cavitation forms under different back pressure conditions at an inlet pressure of 4 MPa [<a href="#B42-applsci-15-02084" class="html-bibr">42</a>]: (<b>a</b>) back pressure 0.6 MPa; (<b>b</b>) back pressure 0.7 MPa; (<b>c</b>) back pressure 0.8 MPa; (<b>d</b>) back pressure 0.9 MPa; (<b>e</b>) back pressure 1.0 MPa; (<b>f</b>) back pressure 1.1 MPa; (<b>g</b>) back pressure 1.2 MPa; and (<b>h</b>) back pressure 1.3 MPa.</p>
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<p>Cavitation forms under different back pressure conditions at an inlet pressure of 4 MPa [<a href="#B42-applsci-15-02084" class="html-bibr">42</a>]: (<b>a</b>) back pressure 0.6 MPa; (<b>b</b>) back pressure 0.7 MPa; (<b>c</b>) back pressure 0.8 MPa; (<b>d</b>) back pressure 0.9 MPa; (<b>e</b>) back pressure 1.0 MPa; (<b>f</b>) back pressure 1.1 MPa; (<b>g</b>) back pressure 1.2 MPa; and (<b>h</b>) back pressure 1.3 MPa.</p>
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35 pages, 37221 KiB  
Article
Target Ship Recognition and Tracking with Data Fusion Based on Bi-YOLO and OC-SORT Algorithms for Enhancing Ship Navigation Assistance
by Shuai Chen, Miao Gao, Peiru Shi, Xi Zeng and Anmin Zhang
J. Mar. Sci. Eng. 2025, 13(2), 366; https://doi.org/10.3390/jmse13020366 - 16 Feb 2025
Viewed by 331
Abstract
With the ever-increasing volume of maritime traffic, the risks of ship navigation are becoming more significant, making the use of advanced multi-source perception strategies and AI technologies indispensable for obtaining information about ship navigation status. In this paper, first, the ship tracking system [...] Read more.
With the ever-increasing volume of maritime traffic, the risks of ship navigation are becoming more significant, making the use of advanced multi-source perception strategies and AI technologies indispensable for obtaining information about ship navigation status. In this paper, first, the ship tracking system was optimized using the Bi-YOLO network based on the C2f_BiFormer module and the OC-SORT algorithms. Second, to extract the visual trajectory of the target ship without a reference object, an absolute position estimation method based on binocular stereo vision attitude information was proposed. Then, a perception data fusion framework based on ship spatio-temporal trajectory features (ST-TF) was proposed to match GPS-based ship information with corresponding visual target information. Finally, AR technology was integrated to fuse multi-source perceptual information into the real-world navigation view. Experimental results demonstrate that the proposed method achieves a mAP0.5:0.95 of 79.6% under challenging scenarios such as low resolution, noise interference, and low-light conditions. Moreover, in the presence of the nonlinear motion of the own ship, the average relative position error of target ship visual measurements is maintained below 8%, achieving accurate absolute position estimation without reference objects. Compared to existing navigation assistance, the AR-based navigation assistance system, which utilizes ship ST-TF-based perception data fusion mechanism, enhances ship traffic situational awareness and provides reliable decision-making support to further ensure the safety of ship navigation. Full article
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<p>Organization diagram of the sections of this paper.</p>
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<p>A perception data fusion framework based on ship ST-TF for ship AR navigation assistance.</p>
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<p>The structure of the Bi-YOLO network.</p>
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<p>(<b>a</b>) Details of a BiFormer block; (<b>b</b>) Structure of the BRA.</p>
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<p>(<b>a</b>) to (<b>b</b>) illustrate the Driving-Leaves binocular camera before and after calibration and stereo rectification, and (<b>c</b>) to (<b>d</b>) illustrate the Baymax binocular camera before and after calibration and stereo rectification.</p>
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<p>Conceptual diagram of the binocular imaging process.</p>
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<p>Illustration of coordinate system conversion.</p>
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<p>Synchronization process of different sensor frequencies.</p>
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<p>Asynchronous nonlinear ship trajectory sequence association based on the DTW algorithm.</p>
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<p>Asynchronous ship trajectory association and joint data storage method.</p>
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<p>The MASSs used in the experimental process.</p>
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<p>The data samples from the FLShip dataset.</p>
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<p>Training mAP@0.5 curves for Bi-YOLO and various object detection algorithms.</p>
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<p>(<b>a</b>–<b>f</b>) respectively show the comparison of detection effects between YOLO11s and Bi-YOLO.</p>
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<p>Tracking performance comparison of four state-of-the-art object trackers in Scene-2.</p>
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<p>Tracking performance comparison of four state-of-the-art object trackers in Scene-4.</p>
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<p>Tracking performance comparison of four state-of-the-art object trackers in Scene-6.</p>
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<p>The visual position estimation results of the ‘Roaring-Flame’ MASS in Scene-1.</p>
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<p>The visual position estimation result of the ‘Baymax’ MASS in scene-2.</p>
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<p>The visual position estimation results of the ‘Baymax’ MASS in Scene-3.</p>
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<p>The AR navigation assistance effects of ships constructed at different timestamps in multiple scenes.</p>
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17 pages, 3865 KiB  
Article
Spatial Blind Source Estimation of Respiratory Rate and Heart Rate Detection Based on Frequency-Modulated Continuous Wave Radar
by Tong Pei, Tao Liao, Xiangkui Wan, Binhui Wang and Danni Hao
Sensors 2025, 25(4), 1198; https://doi.org/10.3390/s25041198 - 15 Feb 2025
Viewed by 372
Abstract
When detecting respiratory rate and heart rate in an FMCW radar room, there is a lot of static clutter and white Gaussian noise generated by hardware heat loss in the environment, which makes the separation of respiratory and heartbeat signals poor. At the [...] Read more.
When detecting respiratory rate and heart rate in an FMCW radar room, there is a lot of static clutter and white Gaussian noise generated by hardware heat loss in the environment, which makes the separation of respiratory and heartbeat signals poor. At the same time, the harmonic component of the respiratory signal in the frequency domain will affect the estimation of heart rate. To solve the above problems, a spatial blind source estimation method was proposed to accurately estimate respiratory heart rate. Firstly, the weighted principal component analysis (WPCA) algorithm was used to extract the features of the target signal from the IF signal, and then the respiratory heart rate signal was reconstructed according to the different features. Then, the multi-signal classification (MUSIC) algorithm is used to convert the respiration and heartbeat signals into the zero domain to avoid the influence of the respective harmonic components on the detection results. The experimental results showed that the accuracy of respiratory rate detection and heart rate detection was 94.51% and 97.79%, respectively. Compared with the traditional algorithm, the proposed method is stable and has higher detection accuracy. Full article
(This article belongs to the Section Radar Sensors)
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<p>FMCW radar structure diagram.</p>
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<p>FMCW time domain waveform.</p>
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<p>FMCW time–frequency domain diagram.</p>
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<p>Overall structure of MUSIC algorithm.</p>
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<p>Flowchart of WPCA separating respiration and heartbeat signals.</p>
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<p>MUSIC algorithm estimation flow chart of respiratory heart rate.</p>
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<p>Scenario diagram of respiratory heart rate detection.</p>
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<p>Diagram of DC component processing results. (<b>a</b>) Plot of results before removal of DC component; (<b>b</b>) plot of results after removal of DC component.</p>
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<p>Plot of eigenvalue ranges selected for WPCA-reconstructed target signals.</p>
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<p>WPCA reconstruction of respiration and heartbeat signal result map.</p>
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<p>MUSIC algorithm to estimate respiratory heart rate.</p>
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<p>Analysis of detection results.</p>
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19 pages, 5181 KiB  
Article
Electric Motor Vibration Signal Classification Using Wigner–Ville Distribution for Fault Diagnosis
by Jian-Da Wu, Wen-Jun Luo and Kai-Chao Yao
Sensors 2025, 25(4), 1196; https://doi.org/10.3390/s25041196 - 15 Feb 2025
Viewed by 308
Abstract
Noise and vibration signal classification can be applied to fault diagnosis in mechanical and electronic systems such as electric vehicles. Traditional signal classification technology uses signal time and frequency domain characteristics as the identification basis. This study proposes a technique for visualizing sound [...] Read more.
Noise and vibration signal classification can be applied to fault diagnosis in mechanical and electronic systems such as electric vehicles. Traditional signal classification technology uses signal time and frequency domain characteristics as the identification basis. This study proposes a technique for visualizing sound signals using the Wigner–Ville distribution (WVD) method to extract vibration signal characteristics and artificial neural networks as the signal classification basis. A brushless motor is used as the machinery power source to verify the feasibility of this method to classify different signal vibration characteristics. In this experimental work, six states in various brushless motor revolutions were deliberately designed for measuring vibration signals. The brushless motor vibration signal is imaged using the WVD analysis method to extract the vibration signal characteristics. Through the WVD method, the brushless motor data is converted, and the YOLO (you only look once) deep coiling machine neural method is used to identify and classify the brushless motor WVD images. The Wagener analysis method parameters and recognition rates are discussed, thereby improving accurate motor fault diagnostic capabilities. This research provides a method for fault diagnosis that can be accurately performed without dismantling the brushless motor. The proposed approach can improve the reliability and stability of brushless motor applications. Full article
(This article belongs to the Special Issue Sensors and Machine-Learning Based Signal Processing)
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<p>Sine wave WVD 2D time-frequency energy diagram. The bluer areas indicate lower vibration energy, while the green areas represent moderate vibration energy, and the yellow regions correspond to higher vibration energy.</p>
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<p>Brushless motor normal state vibration signal WVD 2D time-frequency energy diagram. The bluer areas indicate lower vibration energy, while the green areas represent moderate vibration energy, and the yellow regions correspond to higher vibration energy.</p>
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<p>The evolution of deep learning.</p>
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<p>CNN architecture.</p>
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<p>IOU diagram.</p>
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<p>Brushless motor experimental architecture diagram. (<b>a</b>) Normal brushless motor status diagram; (<b>b</b>) Motor fixed screw loose, the fixing screws of the motor body are loose; (<b>c</b>) Motor bracket screw loose is the brushless motor bracket’s fault; (<b>d</b>) Motor bottom screw loose is the motor bracket base screw loose; (<b>e</b>) Motor shaft wear means the middle shaft of the motor is damaged; (<b>f</b>) Motor bearing not fixed means the motor bearing is damaged.</p>
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<p>Time-frequency diagram and Fourier transform image of the brushless motor in normal state.</p>
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<p>Brushless DC Motor Fault Diagnosis Flowchart.</p>
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<p>Brushless motor WVD figure with sampling points 2~30.</p>
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<p>When the interval parameter N = 2 and the number of iterations is equal to 40, (<b>a</b>) confusion matrix figure; (<b>b</b>) confidence curve; (<b>c</b>) Recall-confidence curve figure.</p>
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<p>When the interval parameter N = 2 and the number of iterations is equal to 40, (<b>a</b>) confusion matrix figure; (<b>b</b>) confidence curve; (<b>c</b>) Recall-confidence curve figure.</p>
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12 pages, 4767 KiB  
Article
Disentangling Multiannual Air Quality Profiles Aided by Self-Organizing Map and Positive Matrix Factorization
by Stefano Fornasaro, Aleksander Astel, Pierluigi Barbieri and Sabina Licen
Toxics 2025, 13(2), 137; https://doi.org/10.3390/toxics13020137 - 14 Feb 2025
Viewed by 398
Abstract
The evaluation of air pollution is a critical concern due to its potential severe impacts on human health. Currently, vast quantities of data are collected at high frequencies, and researchers must navigate multiannual, multisite datasets trying to identify possible pollutant sources while addressing [...] Read more.
The evaluation of air pollution is a critical concern due to its potential severe impacts on human health. Currently, vast quantities of data are collected at high frequencies, and researchers must navigate multiannual, multisite datasets trying to identify possible pollutant sources while addressing the presence of noise and sparse missing data. To address this challenge, multivariate data analysis is widely used with an increasing interest in neural networks and deep learning networks along with well-established chemometrics methods and receptor models. Here, we report a combined approach involving the Self-Organizing Map (SOM) algorithm, Hierarchical Clustering Analysis (HCA), and Positive Matrix Factorization (PMF) to disentangle multiannual, multisite data in a single elaboration without previously separating the sites and years. The approach proved to be valid, allowing us to detect the site peculiarities in terms of pollutant sources, the variation in pollutant profiles during years and the outliers, affording a reliable interpretation. Full article
(This article belongs to the Special Issue Atmospheric Emissions Characteristics and Its Impact on Human Health)
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<p>Scheme of data analysis method.</p>
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<p>Distribution of the modeled variables on the SOM. The distribution of the single pollutants (Ben, NO, NO<sub>2</sub>, Tol, PM<sub>10</sub>) on each node is depicted in grayscale, from white (lower concentration values) to black (higher concentration values). In the distance map, the distance between a node and its neighbors is depicted with a scale from green to white: the higher the distance, the greater the prevalence of white shading on the scale.</p>
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<p>Clustered two-way HCA map. Each row represents a node, while each column represents the values of the modeled variables retaining the autoscaling operated before SOM analysis; thus, the color scale represents low (dark red) to high (dark blue) values. The six clusters obtained are depicted by rectangles and the assigned cluster number is indicated on the right-hand side of the figure.</p>
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<p>(<b>a</b>) Division of SOM nodes into 6 clusters as obtained by HCA; (<b>b</b>) representation of the cluster centroid values by radar plots; (<b>c</b>) distribution of the modeled values for each cluster, as defined by SOM. For this figure, we used the same cluster color code as the one used in <a href="#toxics-13-00137-f003" class="html-fig">Figure 3</a>.</p>
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<p>Barplots representing the daily percentage distribution of clusters for site A1. From the top to the bottom of the figure: years from 2018 to 2023. For this figure, we have used the same cluster color code as the one in <a href="#toxics-13-00137-f004" class="html-fig">Figure 4</a>.</p>
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<p>On the left: Variability in the % contribution of each species to the respective PMF factor (sum of factors  =  100%). The base run is shown as a blue box for reference. On the right: the nodes that made greater contributions to a factor are represented in black, with a greater amount of black shading indicating a more substantial contribution.</p>
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11 pages, 746 KiB  
Article
Hydroacoustic Simulation of a Reτ = 180 Channel Flow
by Renato Montillo
Water 2025, 17(4), 553; https://doi.org/10.3390/w17040553 - 14 Feb 2025
Viewed by 193
Abstract
This study presents a numerical methodology for analyzing hydroacoustic noise generation and its propagation in a homogeneous domain using Lighthill’s analogy, the finite volume method, and hybrid-Higdon boundary conditions. The approach consists of three key steps: performing an eddy-resolving Large Eddy Simulation to [...] Read more.
This study presents a numerical methodology for analyzing hydroacoustic noise generation and its propagation in a homogeneous domain using Lighthill’s analogy, the finite volume method, and hybrid-Higdon boundary conditions. The approach consists of three key steps: performing an eddy-resolving Large Eddy Simulation to capture the unsteady fluid dynamics, extracting the turbulent field to compute the acoustic source term via Lighthill’s analogy, and solving a homogeneous wave equation to propagate the noise in an open domain. The methodology is applied to a turbulent plane channel flow, simulating the acoustic field for a fluid with water-like density at a Mach number of 0.1. The results reveal the spatial distribution of the acoustic pressure, highlighting the dominant noise sources and their spectral characteristics. The acoustic domain extends beyond the turbulent region, enabling the study of pressure propagation outside the flow. The findings demonstrate that noise generation is strongly linked to turbulent structures near the walls, with significant acoustic radiation occurring in the low-wavenumber range. This framework provides a powerful tool for modeling noise propagation in marine and industrial applications, offering insights into turbulence-induced sound in underwater environments. Future work could extend the approach to more complex geometries, higher Reynolds numbers, and heterogeneous domains, further advancing its applicability to real-world acoustic challenges. Full article
(This article belongs to the Section Hydraulics and Hydrodynamics)
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<p>Schematic of the numerical domain used to validate the method. The red cells represent the position of the monopole, the white cells are the physical domain where the simulation is carried out and the cyan cells represent the absorbing domain where the Equation (<a href="#FD9-water-17-00553" class="html-disp-formula">9</a>) is solved, the green cell is where the microphone is placed and the solution is sampled.</p>
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<p>Comparison between the analytical (continuous line) and numerical (circle markers) solution of the monopole. Pressure has been non-dimensionalized with density and speed of sound squared, <math display="inline"><semantics> <msub> <mi>N</mi> <mi>T</mi> </msub> </semantics></math> represents the number of periods of the signal.</p>
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<p>Solution of the acoustic simulation in three domain points. The blue continuous lines refer to the signal of the non-dimensional pressure near the wall (<math display="inline"><semantics> <mrow> <mi>y</mi> <mo>=</mo> <mi>δ</mi> <mo>/</mo> <mn>20</mn> </mrow> </semantics></math>). The red dashed lines refer to the pressure signal in the center of the channel (<math display="inline"><semantics> <mrow> <mi>y</mi> <mo>=</mo> <mi>δ</mi> </mrow> </semantics></math>) and the yellow dotted lines refer to the pressure outside the channel (<math display="inline"><semantics> <mrow> <mi>y</mi> <mo>=</mo> <mn>2.5</mn> <mi>δ</mi> </mrow> </semantics></math>). In Figure (<b>b</b>) the point-continuous purple line represents the power law <math display="inline"><semantics> <msup> <mi>f</mi> <mrow> <mo>−</mo> <mn>5</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </semantics></math>.</p>
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20 pages, 37686 KiB  
Article
Multi-Source Training-Free Controllable Style Transfer via Diffusion Models
by Cuihong Yu, Cheng Han and Chao Zhang
Symmetry 2025, 17(2), 290; https://doi.org/10.3390/sym17020290 - 13 Feb 2025
Viewed by 413
Abstract
Diffusion models, as representative models in the field of artificial intelligence, have made significant progress in text-to-image synthesis. However, studies of style transfer using diffusion models typically require a large amount of text to describe semantic content or specific painting attributes, and the [...] Read more.
Diffusion models, as representative models in the field of artificial intelligence, have made significant progress in text-to-image synthesis. However, studies of style transfer using diffusion models typically require a large amount of text to describe semantic content or specific painting attributes, and the style and layout of semantic content in synthesized images are frequently uncertain. To accomplish high-quality fixed content style transfer, this paper adopts text-free guidance and proposes a multi-source, training-free and controllable style transfer method by using single image or video as content input and single or multiple style images as style guidance. To be specific, the proposed method firstly fuses the inversion noise of a content image with that of a single or multiple style images as the initial noise of stylized image sampling process. Then, the proposed method extracts the self-attention mechanism’s query, key, and value vectors from the DDIM inversion process of content and style images and injects them into the stylized image sampling process to improve the color, texture and semantics of stylized images. By setting the hyperparameters involved in the proposed method, the style transfer effect of symmetric style proportion and asymmetric style distribution can be achieved. By comparing with state-of-the-art baselines, the proposed method demonstrates high fidelity and excellent stylized performance, and can be applied to numerous image or video style transfer tasks. Full article
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<p>Results of multi-source training-free controllable style transfer. Different style effects can be obtained by setting different style control weights.</p>
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<p>The proposed method can effectively realize the style transfer of image or video.</p>
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<p>Network structure of the proposed multi-source training-free controllable style transfer via diffusion models. The initial noise of the stylized image is obtained by fusing DDIM inversion noise of the content image and single or multiple style images (INF). In the process of stylized image diffusion sampling, the query vector <span class="html-italic">Q</span> in U-Net is obtained by the weighted value of the query vector of the content image and the single or multiple style images, the key vector <span class="html-italic">K</span> is obtained by the weighted value of the key vector of the content image and the single or multiple style images, and the value vector <span class="html-italic">V</span> is obtained by the weighted value of the value vector of the content image and the single or multiple style images.</p>
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<p>Image single-style transfer effect qualitative comparison with conventional (4th–8th columns) and diffusion model baselines (9th–10th columns). As shown, the comparison baselines with an abnormal style effect are highlighted in the red boxes; the yellow boxes show a greater understanding of the artistic style.</p>
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<p>Color effect qualitative comparison with conventional (3th–6th lines) and diffusion model baselines (7th–8th lines).</p>
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<p>Photorealistic effect qualitative comparison with conventional (3th–5th columns) and diffusion model baselines (6th–7th columns).</p>
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<p>Photorealistic effect achieved by the proposed method.</p>
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<p>Image multi-style transfer results between four styles.</p>
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<p>Image multi-style transfer results between two styles.</p>
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<p>Video single-style transfer effect qualitative comparison.</p>
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<p>Video multi-style transfer results between two styles.</p>
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<p>Predicted edges of LDC for content similarity calculation.</p>
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<p>Qualitative comparison with ablation studies.</p>
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<p>Visualization of image inversion noise fusion with different weights.</p>
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<p>Visualization of different weights in the value formula for the query vector <span class="html-italic">Q</span>.</p>
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<p>Visualization of different weights in the value formulas for the key vector <span class="html-italic">K</span> and the value vector <span class="html-italic">V</span>.</p>
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16 pages, 4586 KiB  
Article
Optically Referenced Microwave Generator with Attosecond-Level Timing Noise
by Lulu Yan, Jun Ruan, Pan Zhang, Bingjie Rao, Mingkun Li, Zhijing Du and Shougang Zhang
Photonics 2025, 12(2), 153; https://doi.org/10.3390/photonics12020153 - 13 Feb 2025
Viewed by 317
Abstract
Microwave sources based on ultrastable lasers and optical frequency combs (OFCs) exhibit ultralow phase noise and ultrahigh-frequency stability, which are important for many applications. Herein, we present a microwave source that is phase-locked to an ultrastable continuous-wave laser, with a relative frequency instability [...] Read more.
Microwave sources based on ultrastable lasers and optical frequency combs (OFCs) exhibit ultralow phase noise and ultrahigh-frequency stability, which are important for many applications. Herein, we present a microwave source that is phase-locked to an ultrastable continuous-wave laser, with a relative frequency instability of 7 × 1016 at 1 s. An Er:fiber-based OFC and an optic-to-electronic converter with low residual noise are employed to confer optical frequency stability on the 9.6 GHz microwave signal. Instead of using the normal cascaded Mach–Zehnder interferometer method, we developed a microwave regeneration method for converting optical pulses into microwave signals to further suppress the additional noise in the optic-to-electronic conversion process. The microwave regeneration method employs an optical-to-microwave phase detector based on a fiber-based Sagnac loop to produce the error signal between a 9.6 GHz dielectric resonator oscillator (DRO) and the OFC. The 9.6 GHz microwave (48th harmonic of the comb’s repetition rate) signal with the frequency stability of the ultrastable laser was achieved using a DRO that was phase-locked to the optical comb. Preliminary evaluations showed that the frequency instability of the frequency synthesizer from the optical to the 9.6 GHz microwave signal was approximately 2 × 1015 at 1 s, the phase noise was 106 dBc Hz−1 at 1 Hz, and the timing noise was approximately 9 as Hz−1/2 (phase noise approx. 125 dBc Hz−1). The 9.6 GHz signal from the photonic microwave source exhibited a short-term relative frequency instability of 2.1 × 1015 at 1 s, which is 1.5 times better than the previous results. Full article
(This article belongs to the Special Issue New Perspectives in Microwave Photonics)
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<p>The experimental setup of the photonic microwave source, including the ultrastable laser, Er-doped fiber-based OFC, and optic-to-electronic converter.</p>
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<p>Experimental setup of the ultrastable laser. The red lines indicate the free space optical path, the green lines indicate the fiber optical path, and the black dash lines represent the electric path. PM: polarization-maintaining fiber; CO: collimator; <math display="inline"><semantics> <mi>λ</mi> </semantics></math>/2: half-wave plate; <math display="inline"><semantics> <mi>λ</mi> </semantics></math>/4: quarter-wave plate; AOM: acousto-optic modulator; DDS: direct digital synthesizer; SM: single-mode fiber; PC: physical contact; APC: angled physical contact; PD: photodiode; APD: avalanche photodiode; M: mirror.</p>
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<p>Schematic diagram of the Er:fiber femtosecond laser frequency comb and the frequency detection/control system for <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>c</mi> <mi>e</mi> <mi>o</mi> </mrow> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>f</mi> <mi>r</mi> </msub> </semantics></math>. (<b>a</b>) Scheme of the OFC. (<b>b</b>) Scheme of the <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>c</mi> <mi>e</mi> <mi>o</mi> </mrow> </msub> </semantics></math> detection unit. (<b>c</b>) Scheme of the frequency stabilization system for <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>c</mi> <mi>e</mi> <mi>o</mi> </mrow> </msub> </semantics></math>. (<b>d</b>) Scheme of the frequency stabilization system for <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>e</mi> <mi>a</mi> <mi>t</mi> </mrow> </msub> </semantics></math>. The blue lines represent the single-mode PM fibers, the red lines represent the optical paths, the pink lines represent the single-mode fibers, and the black lines represent the electrical paths. CO: collimator; <math display="inline"><semantics> <mi>λ</mi> </semantics></math>/2: half-wave plate; PBS: polarizing beam splitter; FR: Faraday rotator; M: reflector mirror; TWDM: wavelength division multiplexer; HNLF: highly nonlinear fiber; LF: loop filter; BPF: band-pass filter; HVA: high-voltage amplifier; PD: photodetector; ÷n: n times frequency divider; ÷n*: 20 times frequency divider in OFC1 and 40 times in OFC2; A: amplifier; PS: power splitter.</p>
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<p>Schematic diagram of the microwave regeneration system. The gray dotted box is the optical-to-microwave phase detector, and <math display="inline"><semantics> <msub> <mi>f</mi> <mi>r</mi> </msub> </semantics></math> is the pulse-repetition rate. The red lines represent the optical fiber paths. The black lines represent the electrical paths. FR: Faraday rotator; QWP: quarter waveplate; CO: coupler; <math display="inline"><semantics> <msub> <mi>f</mi> <mi>r</mi> </msub> </semantics></math>: pulse repetition rate.</p>
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<p>Relative frequency instability and phase noise of the ultrastable laser. (<b>a</b>) Frequency instability of the ultrastable laser. Blue dash line: thermal-noise-limited frequency instability. (<b>b</b>) Phase noise power spectral density of the ultrastable laser. Black line: phase noise of the ultrastable laser. Blue line: thermal noise limit.</p>
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<p>Relative frequency instability and frequency fluctuations of the OFC. (<b>a</b>) In-loop relative frequency instability of <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>c</mi> <mi>e</mi> <mi>o</mi> </mrow> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>e</mi> <mi>a</mi> <mi>t</mi> </mrow> </msub> </semantics></math>. (<b>b</b>) Frequency fluctuations and bandwidths of the phase-locked <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>c</mi> <mi>e</mi> <mi>o</mi> </mrow> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>e</mi> <mi>a</mi> <mi>t</mi> </mrow> </msub> </semantics></math>. Red lines represent <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>c</mi> <mi>e</mi> <mi>o</mi> </mrow> </msub> </semantics></math>. Black lines represent <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>e</mi> <mi>a</mi> <mi>t</mi> </mrow> </msub> </semantics></math>.</p>
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<p>Experimental setup for evaluating frequency instability and additional phase noise of the photonic microwave generator. The red lines represent the optical paths, and the black lines represent the electrical paths. DRO: dielectric resonator oscillator; LF: loop filter; PS: power splitter; AMP: amplifier.</p>
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<p>Frequency instability and phase noise of the optic-to-electronic converter. (<b>a</b>) Frequency instability curve. (<b>b</b>) Single sideband (SSB) phase noise power spectral density curve.</p>
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<p>Frequency instability and phase noise of the OFC and optic-to-electronic converter. (<b>a</b>) Frequency instability curve. (<b>b</b>) SSB phase noise power spectral density curve.</p>
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<p>The frequency instability of the photonic microwave generator. The red curve is the frequency instability of the 9.6 GHz microwave signal. The green curve is the frequency instability of the optical divider from the OFC to the 9.6 GHz microwave signal. The blue curve is the frequency instability of the ultrastable laser. The black dotted curve represents the frequency instability of the previously generated 9.54 GHz signal by the photonic microwave generator.</p>
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17 pages, 3052 KiB  
Article
Estimation of Daylily Leaf Area Index by Synergy Multispectral and Radar Remote-Sensing Data Based on Machine-Learning Algorithm
by Minhuan Hu, Jingshu Wang, Peng Yang, Ping Li, Peng He and Rutian Bi
Agronomy 2025, 15(2), 456; https://doi.org/10.3390/agronomy15020456 - 13 Feb 2025
Viewed by 287
Abstract
Rapid and accurate leaf area index (LAI) determination is important for monitoring daylily growth, yield estimation, and field management. Because of low estimation accuracy of empirical models based on single-source data, we proposed a machine-learning algorithm combining optical and microwave remote-sensing data as [...] Read more.
Rapid and accurate leaf area index (LAI) determination is important for monitoring daylily growth, yield estimation, and field management. Because of low estimation accuracy of empirical models based on single-source data, we proposed a machine-learning algorithm combining optical and microwave remote-sensing data as well as the random forest regression (RFR) importance score to select features. A high-precision LAI estimation model for daylilies was constructed by optimizing feature combinations. The RFR importance score screened the top five important features, including vegetation indices land surface water index (LSWI), generalized difference vegetation index (GDVI), normalized difference yellowness index (NDYI), and backscatter coefficients VV and VH. Vegetation index features characterized canopy moisture and the color of daylilies, and the backscatter coefficient reflected dielectric properties and geometric structure. The selected features were sensitive to daylily LAI. The RFR algorithm had good anti-noise performance and strong fitting ability; thus, its accuracy was better than the partial least squares regression and artificial neural network models. Synergistic optical and microwave data more comprehensively reflected the physical and chemical properties of daylilies, making the RFR-VI-BC05 model after feature selection better than the others ( r = 0.711, RMSE = 0.498, and NRMSE = 9.10%). This study expanded methods for estimating daylily LAI by combining optical and radar data, providing technical support for daylily management. Full article
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<p>Location and sampling distribution of the study area.</p>
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<p>Technical route.</p>
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<p>The importance score of features. (<b>a</b>) shows the importance scores of the vegetation index, (<b>b</b>) displays the importance scores of the backscattering coefficient, and (<b>c</b>) presents the combined importance scores of both the vegetation index and backscattering coefficient.</p>
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<p>Regression prediction models based on radar data.</p>
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<p>Regression prediction models based on optical data.</p>
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<p>Regression prediction models based on multisource remote-sensing data.</p>
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<p>LAI inversion results of daylily and classification of LAI in each township.</p>
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21 pages, 10495 KiB  
Article
MR-FuSN: A Multi-Resolution Selective Fusion Approach for Bearing Fault Diagnosis
by Lin Sha, Shikai Tang, Min Wang, Sibo Qiao, Shihang Yu, Weixia Liu and Jiaqi Li
Sensors 2025, 25(4), 1134; https://doi.org/10.3390/s25041134 - 13 Feb 2025
Viewed by 244
Abstract
Vibration signals serve as the primary data source for bearing fault diagnosis. However, when collected in complex industrial environments, these signals are often contaminated by noise interference, posing significant challenges to fault feature extraction and diagnostic accuracy. To address these issues, this paper [...] Read more.
Vibration signals serve as the primary data source for bearing fault diagnosis. However, when collected in complex industrial environments, these signals are often contaminated by noise interference, posing significant challenges to fault feature extraction and diagnostic accuracy. To address these issues, this paper proposes a novel bearing fault diagnosis network architecture: the Multi-Resolution Fusion Selection Network (MR-FuSN). The MR-FuSN effectively extracts domain-invariant features from input data through multi-resolution feature extraction and incorporates an adaptive kernel convolution strategy, thereby enhancing its robustness against environmental noise. Experimental results demonstrate that the MR-FuSN achieves outstanding performance in noisy environments with signal-to-noise ratios (SNRs) ranging from −5 dB to 10 dB, particularly attaining a diagnostic accuracy of 99.97% under 0 dB conditions. This study provides technical support for practical fault diagnosis applications. Full article
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<p>The overall architecture of MR-FuSN. SA: self-attention module; <math display="inline"><semantics> <mi>α</mi> </semantics></math>, <math display="inline"><semantics> <mi>β</mi> </semantics></math>, Value: query, key and value vectors for self-attention calculation; ⊕: feature fusion operation; <math display="inline"><semantics> <msub> <mi>X</mi> <mn>1</mn> </msub> </semantics></math>, <math display="inline"><semantics> <msub> <mi>X</mi> <mn>2</mn> </msub> </semantics></math>, ..., <math display="inline"><semantics> <msub> <mi>X</mi> <mi>n</mi> </msub> </semantics></math>: different network widths.</p>
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<p>Adaptive Dual-Core Channel-Focusing Unit. ⊗: element-wise multiplication; ⊕: feature fusion.</p>
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<p>The test rig of <math display="inline"><semantics> <msub> <mi>D</mi> <mn>1</mn> </msub> </semantics></math>.</p>
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<p>The test rig of <math display="inline"><semantics> <msub> <mi>D</mi> <mn>2</mn> </msub> </semantics></math>.</p>
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<p>The convergence curve of <math display="inline"><semantics> <msub> <mi>D</mi> <mn>1</mn> </msub> </semantics></math>.</p>
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<p>The convergence curve of <math display="inline"><semantics> <msub> <mi>D</mi> <mn>2</mn> </msub> </semantics></math>.</p>
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<p>Accuracy of different network architectures under dataset <math display="inline"><semantics> <msub> <mi>D</mi> <mn>1</mn> </msub> </semantics></math>.</p>
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<p>Accuracy of different network architectures under dataset <math display="inline"><semantics> <msub> <mi>D</mi> <mn>2</mn> </msub> </semantics></math>.</p>
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<p>Fault diagnosis accuracy for different network parameters under dataset <math display="inline"><semantics> <msub> <mi>D</mi> <mn>1</mn> </msub> </semantics></math>.</p>
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<p>Fault diagnosis accuracy for different network parameters under dataset <math display="inline"><semantics> <msub> <mi>D</mi> <mn>2</mn> </msub> </semantics></math>.</p>
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17 pages, 4016 KiB  
Article
Instrument Performance Analysis for Methane Point Source Retrieval and Estimation Using Remote Sensing Technique
by Yuhan Jiang, Lu Zhang, Xingying Zhang, Xifeng Cao, Haiyang Dou, Lingfeng Zhang, Huanhuan Yan, Yapeng Wang, Yidan Si and Binglong Chen
Remote Sens. 2025, 17(4), 634; https://doi.org/10.3390/rs17040634 - 13 Feb 2025
Viewed by 463
Abstract
The effective monitoring of methane (CH4) point sources is important for climate change research. Satellite-based observations have demonstrated significant potential for emission estimation. In this study, the methane plumes with different emission rates are modelled and pseudo-observations with diverse spatial resolution, [...] Read more.
The effective monitoring of methane (CH4) point sources is important for climate change research. Satellite-based observations have demonstrated significant potential for emission estimation. In this study, the methane plumes with different emission rates are modelled and pseudo-observations with diverse spatial resolution, spectral resolution, and signal-to-noise ratios (SNR) are simulated by the radiative transfer model. The iterative maximum a posteriori–differential optical absorption spectroscopy (IMAP-DOAS) algorithm is applied to retrieve the column-averaged methane dry air mole fraction (XCH4), a three-dimensional matrix of estimated plume emission rates is then constructed. The results indicate that an optimal plume estimation requires high spatial and spectral resolution alongside an adequate SNR. While a spatial resolution degradation within 120 m has little impact on quantification, a high spatial resolution is important for detecting low-emission plumes. Additionally, a fine spectral resolution (<5 nm) is more beneficial than a higher SNR for precise plume retrieval. Scientific SNR settings can also help to accurately quantify methane plumes, but there is no need to pursue an overly extreme SNR. Finally, miniaturized spectroscopic systems, such as dispersive spectrometers or Fabry–Pérot interferometers, meet current detection needs, offering a faster and resource-efficient deployment pathway. The results can provide a reference for the development of current detection instruments for methane plumes. Full article
(This article belongs to the Section Atmospheric Remote Sensing)
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<p>A schematic of the study.</p>
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<p>Instantaneous ΔXCH<sub>4</sub> plume image for 10 m spatial resolution with an emission rate of 1000 kg/h, simulated by WRF-LES.</p>
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<p>Schematic representation of satellite radiance received at different spatial resolutions.</p>
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<p>(<b>a</b>) <span class="html-italic">k</span> spectrum convolved with different spectral resolution; (<b>b</b>) same as (<b>a</b>), but convolved with different satellite sensors.</p>
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<p>With the emission rate of 1000 kg/h, (<b>a</b>–<b>d</b>) retrieved ΔXCH<sub>4</sub> images with different spectral resolutions (2 nm, 5 nm, 10 nm, 15 nm, respectively); (<b>e</b>–<b>h</b>) scatterplots comparing simulated and retrieved ΔXCH<sub>4</sub> with different spectral resolutions (2 nm, 5 nm, 10 nm, 15 nm, respectively). The solid line is the linear regression of these scattered points. The dashed line is the line with a slope of 1.</p>
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<p>With the emission rate of 1000 kg/h, (<b>a</b>) simulated TOA radiance at different spatial resolutions; (<b>b</b>–<b>f</b>) scenes retrieval at spatial resolutions of 30 m, 60 m, 120 m, 250 m, 500 m. All simulations were conducted with a spectral resolution of 5 nm and SNR of 600.</p>
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<p>With the emission rate of 1000 kg/h, (<b>a</b>) the ΔXCH<sub>4</sub> absolute error box plot of simulated and retrieved ΔXCH<sub>4</sub> at the spatial resolution of 10 m and spectral resolution of 10 nm, with SNRs of 800, 600, 400, and 200, 100, respectively; (<b>b</b>–<b>d</b>) plume masks under varying SNRs of 800, 600, 400, 200, and 100.</p>
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<p>Estimated results of plumes with varying emission rates under different instrument parameters: (<b>a</b>) 10,000 kg/h; (<b>b</b>) 1000 kg/h; (<b>c</b>) 100 kg/h.</p>
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<p>(<b>a</b>) Estimated emissions of retrieval with different key parameters for 1000 kg/h simulated emissions; (<b>b</b>) the relationship between spatial resolution and SNR at 2 nm spectral resolution; (<b>c</b>) the relationship between spatial resolution and spectral resolution at SNR of 800.</p>
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