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15 pages, 1095 KiB  
Article
New Design Scheme for and Application of Fresnel Lens for Broadband Photonics Terahertz Communication
by Peng Tian, Yang Han, Weiping Li, Xiongwei Yang, Mingxu Wang and Jianjun Yu
Sensors 2024, 24(23), 7592; https://doi.org/10.3390/s24237592 - 27 Nov 2024
Abstract
In terahertz communication systems, lens antennas used in transceivers are basically plano-convex dielectric lenses. The size of a plano-convex lens increases as the aperture increases, and thinner lenses have longer focal lengths. Through theory and simulation, we designed a Fresnel lens suitable for [...] Read more.
In terahertz communication systems, lens antennas used in transceivers are basically plano-convex dielectric lenses. The size of a plano-convex lens increases as the aperture increases, and thinner lenses have longer focal lengths. Through theory and simulation, we designed a Fresnel lens suitable for the terahertz band to meet the requirements of large aperture and short focal length, and simulated the performance, advantages, and disadvantages of the terahertz Fresnel lens. A 300 GHz terahertz wireless communication system was built to verify the gain effect of the Fresnel lens antenna. The experimental results demonstrate that the Fresnel lens can be used for long-distance terahertz communication with larger aperture diameters, overcoming the limitations of traditional plano-convex lenses. The theoretical gain of a 30 cm Fresnel lens is 48.83 dB, while the actual measured gain is approximately 45 dB. Full article
(This article belongs to the Section Optical Sensors)
16 pages, 2581 KiB  
Article
A Parameter Estimation-Based Anti-Deception Jamming Method for RIS-Aided Single-Station Radar
by Shanshan Zhao, Jirui An, Biao Xie and Ziwei Liu
Remote Sens. 2024, 16(23), 4453; https://doi.org/10.3390/rs16234453 - 27 Nov 2024
Abstract
Multi-station radar can provide better performance against deception jamming, but the harsh detection requirements and risk of network destruction undermine the practicability of the multi-station radar. Therefore, it is necessary to further explore the anti-deception jamming performance of a single-station radar. This paper [...] Read more.
Multi-station radar can provide better performance against deception jamming, but the harsh detection requirements and risk of network destruction undermine the practicability of the multi-station radar. Therefore, it is necessary to further explore the anti-deception jamming performance of a single-station radar. This paper introduces a novel method, based on parameter estimation with a virtual multi-station system, to discriminate range deceptive jamming. The system consists of a single-station radar assisted by the reconfigurable intelligent surfaces (RIS). A unified parameter estimation model for true and false targets is established, and the convex optimization method is applied to estimate the target location and deception range. The Cramer–Rao lower bound (CRLB) of the target localization and the measured deception range is then derived. By using the measured deception range and its CRLB, an optimal discrimination algorithm in accordance with the Neyman–Pearson lemma is designed. Simulation results demonstrate the feasibility of the proposed method and analyze the effects of factors such as signal-to-noise ratio (SNR), deception range, jammer location, and the RISs station arrangement on the discrimination performance. Full article
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<p>Virtual multi-station radar model.</p>
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<p>Target localization accuracy.</p>
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<p>Deception range estimation accuracy.</p>
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<p>Active false target discrimination probability.</p>
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<p>Deception range estimation accuracy under different jammer locations.</p>
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<p>Active false target discrimination probability under different jammer locations.</p>
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<p>Active false target discrimination probability for configuration 2.</p>
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<p>Active false target discrimination probability for configuration 3.</p>
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<p>Active false target discrimination probability for configuration 4.</p>
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<p>Active false target discrimination probability changing with distance from RIS to radar.</p>
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29 pages, 9561 KiB  
Article
Research on Shoveling Position Analysis and Recognition of Unmanned Loaders for Gravel Piles
by Hanwen Zhang, Sun Jin, Bing Li, Bo Xu, Yuanbin Xiao and Weixin Zhou
Appl. Sci. 2024, 14(23), 11036; https://doi.org/10.3390/app142311036 - 27 Nov 2024
Abstract
Gravel is the most frequently used material in infrastructure construction. However, the irregular shape of the gravel pile makes it challenging for the loader to predict a stable shoveling position, which can easily result in partial collapse or a complete landslide, thereby posing [...] Read more.
Gravel is the most frequently used material in infrastructure construction. However, the irregular shape of the gravel pile makes it challenging for the loader to predict a stable shoveling position, which can easily result in partial collapse or a complete landslide, thereby posing a serious threat to the equipment. In view of the imperfect method of determining the shoveling position of the pile by the current unmanned loader and the high hardware requirements for the deployment of the identification model, this paper first establishes a mathematical model of the loader, and preliminarily determines the influence of the concave and convex edges of the gravel pile on the shoveling position selection through discrete element joint simulation; secondly, the influence of the pile with different edge curvatures on the loader operation process is analyzed in the simulation software, and the radar map is used to further identify the superior position features; finally, Ghost Net is used as the backbone network, the RFB module is introduced into the Backbone, and the CBAM attention mechanism is integrated into the C3 module to identify the lightweight YOLOv5s shoveling position. Discrete element analysis and a lightweight network model were used in the above study to find the safest and most effective shoveling positions. During the test that mimicked how the loader would actually shovel, the number of parameters in the improved model was cut down to 32.5% of the original, the number of calculations was cut down to about 55.2% of the original, and the average accuracy of finding the shoveling position of the gravel pile reached 98%. Full article
14 pages, 293 KiB  
Article
Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
by Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi and Marwa Ennaceur
Mathematics 2024, 12(23), 3721; https://doi.org/10.3390/math12233721 - 27 Nov 2024
Abstract
The notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion. This article employs a new integral operator introduced using [...] Read more.
The notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion. This article employs a new integral operator introduced using the class of meromorphic functions, the notion of convolution, and the Hurwitz–Lerch Zeta function for obtaining new fuzzy differential subordination results. Furthermore, the best fuzzy dominants are provided for each of the fuzzy differential subordinations investigated. The results presented enhance the approach to fuzzy differential subordination theory by giving new results involving operators in the study, for which starlikeness and convexity properties are revealed using the fuzzy differential subordination theory. Full article
22 pages, 1686 KiB  
Article
Optimizing Transmit Power for User-Cooperative Backscatter-Assisted NOMA-MEC: A Green IoT Perspective
by Huaiwen He, Chenghao Zhou, Feng Huang, Hong Shen and Yihong Yang
Electronics 2024, 13(23), 4678; https://doi.org/10.3390/electronics13234678 - 27 Nov 2024
Viewed by 60
Abstract
Non-orthogonal multiple access (NOMA) enables the parallel offloading of multiuser tasks, effectively enhancing throughput and reducing latency. Backscatter communication, which passively reflects radio frequency (RF) signals, improves energy efficiency and extends the operational lifespan of terminal devices. Both technologies are pivotal for the [...] Read more.
Non-orthogonal multiple access (NOMA) enables the parallel offloading of multiuser tasks, effectively enhancing throughput and reducing latency. Backscatter communication, which passively reflects radio frequency (RF) signals, improves energy efficiency and extends the operational lifespan of terminal devices. Both technologies are pivotal for the next generation of wireless networks. However, there is little research focusing on optimizing the transmit power in backscatter-assisted NOMA-MEC systems from a green IoT perspective. In this paper, we aim to minimize the transmit energy consumption of a Hybrid Access Point (HAP) while ensuring task deadlines are met. We consider the integration of Backscatter Communication (BackCom) and Active Transmission (AT), and leverage NOMA technology and user cooperation to mitigate the double near–far effect. Specifically, we formulate a transmit energy consumption minimization problem, accounting for task deadline constraints, task offloading decisions, transmit power allocation, and energy constraints. To tackle the non-convex optimization problem, we employ variable substitution and convex optimization theory to transform the original non-convex problem into a convex one, which is then efficiently solved. We deduce the semi-closed form expression of the optimal solution and propose an energy-efficient algorithm to minimize the transmit power of the entire wireless powered MEC. The extensive simulation results demonstrate that our proposed scheme significantly reduces the HAP transmit power by around 8% compared to existing schemes, validating the effectiveness of our approach. This study provides valuable insights for the design of green IoT systems by optimizing the transmit power in NOMA-MEC networks. Full article
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<p>System model of a WPMEC network with a user-cooperative wireless-powered MEC system.</p>
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<p>Flowchart for convexification of Problem P1.</p>
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<p>Energy consumption in different schemes versus the latency constraint <span class="html-italic">T</span>.</p>
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<p>Offloaded data in different schemes versus the latency constraint <span class="html-italic">T</span>.</p>
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<p>Energy consumption in different schemes versus input computation bits at <math display="inline"><semantics> <msub> <mi>MD</mi> <mn>2</mn> </msub> </semantics></math>.</p>
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<p>Offloaded data in different schemes versus input computation bits at <math display="inline"><semantics> <msub> <mi>MD</mi> <mn>2</mn> </msub> </semantics></math>.</p>
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<p>Energy consumption in different schemes versus transmit power <math display="inline"><semantics> <msub> <mi>p</mi> <mn>0</mn> </msub> </semantics></math> of HAP.</p>
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<p>Offloaded data in different schemes versus transmit power <math display="inline"><semantics> <msub> <mi>p</mi> <mn>0</mn> </msub> </semantics></math> of HAP.</p>
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<p>Energy consumption in different schemes versus transmit power constraint <math display="inline"><semantics> <msubsup> <mi>P</mi> <mn>2</mn> <mi>max</mi> </msubsup> </semantics></math> of <math display="inline"><semantics> <msub> <mi>MD</mi> <mn>2</mn> </msub> </semantics></math>.</p>
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<p>Energy consumption in different schemes versus the distance between <math display="inline"><semantics> <msub> <mi>MD</mi> <mn>1</mn> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>MD</mi> <mn>2</mn> </msub> </semantics></math>.</p>
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<p>Offloading strategy with different distances between <math display="inline"><semantics> <msub> <mi>MD</mi> <mn>1</mn> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>MD</mi> <mn>2</mn> </msub> </semantics></math>.</p>
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27 pages, 455 KiB  
Article
A New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions
by Talib Hussain, Loredana Ciurdariu and Eugenia Grecu
Mathematics 2024, 12(23), 3711; https://doi.org/10.3390/math12233711 - 26 Nov 2024
Viewed by 137
Abstract
The goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional integral operators. In addition, we establish a number of corresponding fractional integral inequalities for three-times differentiable [...] Read more.
The goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional integral operators. In addition, we establish a number of corresponding fractional integral inequalities for three-times differentiable convex functions that are connected to the right side of the H–H–M-type inequality. For these results, further remarks and observations are provided. Following that, a couple of graphical representations are shown to highlight the key findings of our study. Finally, some applications on special means are shown to demonstrate the effectiveness of our inequalities. Full article
(This article belongs to the Special Issue Fractional Calculus and Mathematical Applications, 2nd Edition)
10 pages, 257 KiB  
Article
Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function
by Naci Taşar, Fethiye Müge Sakar, Seher Melike Aydoğan and Georgia Irina Oros
Axioms 2024, 13(12), 826; https://doi.org/10.3390/axioms13120826 - 26 Nov 2024
Viewed by 124
Abstract
In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function. The investigation reveals inclusion relations concerning harmonic γ-uniformly starlike mappings in the open unit disc, harmonic starlike functions and [...] Read more.
In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function. The investigation reveals inclusion relations concerning harmonic γ-uniformly starlike mappings in the open unit disc, harmonic starlike functions and harmonic convex functions, highlighting the improvements given by the results presented here on previously published outcomes. Full article
(This article belongs to the Special Issue New Developments in Geometric Function Theory, 3rd Edition)
21 pages, 29199 KiB  
Article
On Forming Characteristics of Hems by Means of Incremental Sheet Forming
by Dennis Steinfels and David Bailly
J. Manuf. Mater. Process. 2024, 8(6), 266; https://doi.org/10.3390/jmmp8060266 - 26 Nov 2024
Viewed by 196
Abstract
Given the need for versatile joining processes, form-fit joining is gaining increasing importance. Although it has known limitations and complexity, roller hemming remains widely used due to its flexibility. Here, the novel Incremental Sheet Forming (ISF) hemming technique has the potential to expand [...] Read more.
Given the need for versatile joining processes, form-fit joining is gaining increasing importance. Although it has known limitations and complexity, roller hemming remains widely used due to its flexibility. Here, the novel Incremental Sheet Forming (ISF) hemming technique has the potential to expand the range of applications and process limits. It has already proven effective in preliminary works for joining comparatively small radii without wrinkles and cracks. However, a deeper understanding of the dominant material flow and deformation mechanism during forming is required to fully exploit its potential. This study aims to conduct a detailed examination of this technology through experimental and numerical investigations. Strain measurements on convex and concave hems provide insights into the material flow. A comparison of the forming mechanism for both processes is made using straight hems. The results show that ISF hemming has a favorable material flow for compensating cracks and wrinkles in curved hems. Additionally, it induces strains across the entire hem area, reaching higher values than those achieved with roller hemming. One reason for this is the forming mechanism, which combines tension, compression and shear, whereas roller hemming primarily involves bending and compression of the hemming radius. Full article
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<p>Example components with hemmed outer edges.</p>
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<p>Typical hemming process steps using the example of roller hemming [<a href="#B2-jmmp-08-00266" class="html-bibr">2</a>].</p>
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<p>Typical defects for hemming of concave and convex contours [<a href="#B9-jmmp-08-00266" class="html-bibr">9</a>].</p>
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<p>Examples of flange reliefs in sharp corners of hemming products [<a href="#B3-jmmp-08-00266" class="html-bibr">3</a>,<a href="#B9-jmmp-08-00266" class="html-bibr">9</a>].</p>
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<p>Joint components and their respective cross-sections formed by ISF with different hole diameters [<a href="#B19-jmmp-08-00266" class="html-bibr">19</a>].</p>
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<p>Schematic contact area while hemming for roller hemming (<b>left</b>) and ISF hemming (<b>right</b>).</p>
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<p>Tool motions of roller hemming (<b>left</b>) and ISF hemming (<b>right</b>) [<a href="#B20-jmmp-08-00266" class="html-bibr">20</a>].</p>
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<p>True stress–true strain relation of DC04 sheet [<a href="#B20-jmmp-08-00266" class="html-bibr">20</a>].</p>
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<p>Forming tools.</p>
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<p>Hem geometries in this work.</p>
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<p>Geometric definitions of the flanges [<a href="#B20-jmmp-08-00266" class="html-bibr">20</a>].</p>
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<p>Experimental setup as an example of straight geometry.</p>
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<p>Exemplary tool paths for ISF flanging and hemming [<a href="#B20-jmmp-08-00266" class="html-bibr">20</a>].</p>
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<p>Procedure for ISF hemming as an example of shrink hem geometry [<a href="#B20-jmmp-08-00266" class="html-bibr">20</a>].</p>
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<p>Procedure for roller hemming of the straight hem.</p>
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<p>Creaform HandyScan 700 (<b>left</b>) and exemplary 3D scanning setup up (<b>right</b>) [<a href="#B28-jmmp-08-00266" class="html-bibr">28</a>].</p>
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<p>Exemplary optical forming analysis for the shrink hem.</p>
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<p>Exemplary setup for ISF hemming (<b>left</b>) and roller hemming model (<b>right</b>).</p>
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<p>Equivalent plastic strain in stretch (<b>left</b>) and shrink (<b>right</b>) specimen after flanging simulation.</p>
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<p>Geometric comparison of experiment and simulation based on the hem cross-sections.</p>
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<p>Sheet thickness distribution from experiment and simulation for stretch (<b>left</b>) and shrink hems (<b>right</b>). The initial blank thickness of 1 mm is indicated by the dotted line.</p>
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<p>Material drag at the outer edge of hems [<a href="#B20-jmmp-08-00266" class="html-bibr">20</a>].</p>
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<p>Comparison of effective strains from experiment and simulation for stretch hem.</p>
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<p>Comparison of effective strains from experiment and simulation for shrink hem.</p>
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<p>Vectors of major in-plane principal strain for stretch hem.</p>
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<p>Vectors of minor in-plane principal strain for stretch hem.</p>
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<p>Vectors of major in-plane principal strain for shrink hem.</p>
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<p>Vectors of minor in-plane principal strain for shrink hem.</p>
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<p>Vectors of strains in thickness direction for stretch and shrink hemming (bulge).</p>
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<p>Schematic of resulting material flow vectors in ISF hemming for stretch and shrink hems.</p>
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<p>General appearance of the straight hems produced with ISF hemming (<b>left</b>) and roller hemming (<b>right</b>).</p>
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<p>Optical strain measurement for straight hems formed with ISF hemming (<b>left</b>) and roller hemming (<b>right</b>).</p>
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<p>Comparison of the deformation zone in ISF hemming and roller hemming.</p>
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16 pages, 4484 KiB  
Article
Start-Up Process of High-Speed Micro-Grooved Pumping Seal for New Energy Vehicles
by Hanqing Chen, Ruqi Yan, Xianzhi Hong, Xin Bao and Xuexing Ding
Lubricants 2024, 12(12), 413; https://doi.org/10.3390/lubricants12120413 - 26 Nov 2024
Viewed by 185
Abstract
With the growing global demand for clean energy, new energy vehicles are a key focus in the automotive industry. This paper investigates the micro-grooved pumping seal used in such vehicles, using a custom Python computational programme to study the start-up behaviour of a [...] Read more.
With the growing global demand for clean energy, new energy vehicles are a key focus in the automotive industry. This paper investigates the micro-grooved pumping seal used in such vehicles, using a custom Python computational programme to study the start-up behaviour of a non-contact oil–gas two-phase micro-grooved seal. The research explores the balance of forces during start-up, employing fractal theory for surface contact force calculations and solving the two-phase laminar Reynolds equation by the finite difference method. The results show that high-speed micro-grooved seals perform well under typical conditions for new energy vehicles. When film thickness is below a critical value, fractal dimension and characteristic length influence the initial thickness. Above the critical value, film thickness increases non-linearly with rotational speed, whereas the leakage rate decreases linearly. Critical rotational speed decreases non-linearly with the oil–gas ratio, peaking at an oil–gas ratio of 0.06. Both critical speed and leakage rate increase linearly and non-linearly with pressure and temperature, respectively. The study highlights the boundary-line where leakage transitions to pumping, providing valuable guidance for optimising seal design in new energy vehicles. Full article
(This article belongs to the Special Issue Tribology in Vehicles)
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Figure 1
<p>Schematic of proposed micro-grooved pumping seal for new energy vehicles.</p>
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<p>Schematic of the balance of forces.</p>
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<p>Contact deformation diagram of rough surface micro-convex body.</p>
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<p>Schematic of dynamic ring size parameters.</p>
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<p>Technical roadmap.</p>
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<p>The effect of grid density.</p>
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<p>Relationship between surface contact force, film opening force, and film thickness.</p>
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<p>Initial film thickness under different fractal dimensions.</p>
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<p>Initial film thickness under different characteristic length scales.</p>
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<p>Film thickness and leakage rate at different rotational speeds.</p>
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<p>Critical rotational speed and leakage rate at different oil–gas ratios.</p>
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<p>Critical rotational speed and leakage rate at different inlet gauge pressures.</p>
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<p>Critical rotational speed and leakage rate at different temperatures.</p>
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27 pages, 624 KiB  
Article
Simultaneously Transmitting and Reflecting Reconfigurable Intelligent Surfaces Empowered Cooperative Rate Splitting with User Relaying
by Kangchun Zhao, Yijie Mao and Yuanming Shi
Entropy 2024, 26(12), 1019; https://doi.org/10.3390/e26121019 - 26 Nov 2024
Viewed by 255
Abstract
In this work, we unveil the advantages of synergizing cooperative rate splitting (CRS) with user relaying and simultaneously transmitting and reflecting reconfigurable intelligent surface (STAR RIS). Specifically, we propose a novel STAR RIS-assisted CRS transmission framework, featuring six unique transmission modes that leverage [...] Read more.
In this work, we unveil the advantages of synergizing cooperative rate splitting (CRS) with user relaying and simultaneously transmitting and reflecting reconfigurable intelligent surface (STAR RIS). Specifically, we propose a novel STAR RIS-assisted CRS transmission framework, featuring six unique transmission modes that leverage various combinations of the relaying protocols (including full duplex-FD and half duplex-HD) and the STAR RIS configuration protocols (including energy splitting-ES, mode switching-MS, and time splitting-TS). With the objective of maximizing the minimum user rate, we then propose a unified successive convex approximation (SCA)-based alternative optimization (AO) algorithm to jointly optimize the transmit active beamforming, common rate allocation, STAR RIS passive beamforming, as well as time allocation (for HD or TS protocols) subject to the transmit power constraint at the base station (BS) and the law of energy conservation at the STAR RIS. To alleviate the computational burden, we further propose a low-complexity algorithm that incorporates a closed-form passive beamforming design. Numerical results show that our proposed framework significantly enhances user fairness compared with conventional CRS schemes without STAR RIS or other STAR RIS-empowered multiple access schemes. Moreover, the proposed low-complexity algorithm dramatically reduces the computational complexity while achieving very close performance to the AO method. Full article
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<p>The transmission architecture of the proposed STAR RIS-assisted CRS.</p>
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<p>Six transmission modes of the proposed STAR RIS-assisted CRS.</p>
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<p>Max-min rate versus the number of STAR RIS elements <span class="html-italic">N</span>, <math display="inline"><semantics> <mrow> <mi>SNR</mi> <mo>=</mo> <mn>20</mn> <mspace width="3.33333pt"/> <mi>dB</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mi>t</mi> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>.</p>
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<p>Max-min rate versus SNR, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>50</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mi>t</mi> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>.</p>
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<p>Max-minrate versus SNR, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>50</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mi>t</mi> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>.</p>
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<p>The performance of Algorithm 3 and 4. (<b>a</b>) Max-min rate versus <span class="html-italic">N</span>. (<b>b</b>) Average CPU time versus <span class="html-italic">N</span>.</p>
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<p>Ergodic max-min rate versus the number of STAR RIS elements <span class="html-italic">N</span>, <math display="inline"><semantics> <mrow> <mi>SNR</mi> <mo>=</mo> <mn>20</mn> <mspace width="3.33333pt"/> <mi>dB</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mi>t</mi> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>κ</mi> <mo>=</mo> <mn>0.2</mn> </mrow> </semantics></math>.</p>
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18 pages, 2075 KiB  
Article
Multiple-Input Multiple-Output Synthetic Aperture Radar Waveform and Filter Design in the Presence of Uncertain Interference Environment
by Ke Xu, Guohao Sun, Yuandong Ji, Zhiquan Ding and Wenhao Chen
Remote Sens. 2024, 16(23), 4413; https://doi.org/10.3390/rs16234413 - 25 Nov 2024
Viewed by 270
Abstract
Multiple-input multiple-output synthetic aperture radar (MIMO-SAR) anti-jamming waveform design relies on accurate prior information about the interference. However, it is difficult to obtain accurate prior knowledge about uncertain intermittent sampling repeater jamming (ISRJ), leading to a severe decline in the detection performance of [...] Read more.
Multiple-input multiple-output synthetic aperture radar (MIMO-SAR) anti-jamming waveform design relies on accurate prior information about the interference. However, it is difficult to obtain accurate prior knowledge about uncertain intermittent sampling repeater jamming (ISRJ), leading to a severe decline in the detection performance of MIMO-SAR systems. Therefore, this article studies the robust joint design problem of MIMO radar transmit waveform and filter against uncertain ISRJ. We characterize two categories of uncertain interference, including sample length uncertainty and sample-time uncertainty, modeled as Gaussian distribution in different range bins. Based on the uncertain interference model, we formulate the maximizing SINR as a figure of merit, which is a non-convex quadratic optimization problem under specific waveform constraints. Based on the alternating direction method of multipliers (ADMM) framework, a novel joint design algorithm of waveform and filter is proposed. In order to improve the convergence performance of ADMM, the difference in convex functions (DC) programming is applied to the ADMM iterations framework to solve the problem of waveform energy inequality constraint. Finally, numerical results demonstrate the effectiveness and robustness of the proposed method, compared to the existing methods that utilize deterministic interference models in the uncertain ISRJ environment. Moreover, the spaceborne SAR real scene imaging simulations are conducted to evaluate the anti-ISRJ performance. Full article
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<p>Uncertain store-and-forward schematic. (<b>a</b>) sample-length; (<b>b</b>) sample-time; (<b>c</b>) sample-length and sample-time.</p>
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<p>Schematic representation of the uncertainty in the location of the source of interference.</p>
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<p>Iterative output SINR for ISRJ under sample-length uncertainty environment. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Comparison of the robustness of different waveforms under sample−length uncertainty environment. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low−energy waveform design condition.</p>
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<p>Estimation error of different waveforms regarding DOA localization. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Interference spectra under uncertain sample-length environment. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Iterative output SINR for ISRJ under sample-time uncertainty environment. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Comparison of the robustness of different waveform under sampling time uncertainties. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Estimation error of different waveform regarding DOA localization. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Interference spectra under uncertainty of sample time. (<b>a</b>) unit energy waveform design condition; (<b>b</b>) low-energy waveform design condition.</p>
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<p>Imaging results in the presence of uncertain ISRJ. (<b>a</b>) image without uncertain ISRJ suppression; (<b>b</b>) image obtained using waveform of the proposed method.</p>
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<p>Imaging results in the presence of uncertain ISRJ. (<b>a</b>) image without uncertain ISRJ suppression; (<b>b</b>) image obtained using waveform of the proposed method.</p>
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26 pages, 2544 KiB  
Article
Two-Stage, Three-Layer Stochastic Robust Model and Solution for Multi-Energy Access System Based on Hybrid Game Theory
by Guodong Wu, Xiaohu Li, Jianhui Wang, Ruixiao Zhang and Guangqing Bao
Processes 2024, 12(12), 2656; https://doi.org/10.3390/pr12122656 - 25 Nov 2024
Viewed by 362
Abstract
This paper proposes a two-stage, three-layer stochastic robust model and its solution method for a multi-energy access system (MEAS) considering different weather scenarios which are described through scenario probabilities and output uncertainties. In the first stage, based on the principle of the master–slave [...] Read more.
This paper proposes a two-stage, three-layer stochastic robust model and its solution method for a multi-energy access system (MEAS) considering different weather scenarios which are described through scenario probabilities and output uncertainties. In the first stage, based on the principle of the master–slave game, the master–slave relationship between the grid dispatch department (GDD) and the MEAS is constructed and the master–slave game transaction mechanism is analyzed. The GDD establishes a stochastic pricing model that takes into account the uncertainty of wind power scenario probabilities. In the second stage, considering the impacts of wind power and photovoltaic scenario probability uncertainties and output uncertainties, a max–max–min three-layer structured stochastic robust model for the MEAS is established and its cooperation model is constructed based on the Nash bargaining principle. A variable alternating iteration algorithm combining Karush–Kuhn–Tucker conditions (KKT) is proposed to solve the stochastic robust model of the MEAS. The alternating direction method of multipliers (ADMM) is used to solve the cooperation model of the MEAS and a particle swarm algorithm (PSO) is employed to solve the non-convex two-stage model. Finally, the effectiveness of the proposed model and method is verified through case studies. Full article
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<p>A master–slave framework for trading.</p>
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<p>Variable exchange process of the dual-layer model.</p>
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<p>Load curve of MEAS.</p>
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<p>Comparison of electricity purchase and sale prices at different confidence levels.</p>
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<p>Electricity purchased and sold at different confidence levels.</p>
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<p>Solution procedure of the bilayer robust model.</p>
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<p>Feed-in tariffs and grid tariffs.</p>
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<p>Ten typical scenarios for WT.</p>
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<p>Cooperation volume of MEASs.</p>
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<p>Cooperation price of MEASs.</p>
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22 pages, 73175 KiB  
Article
Multiplane Optimizing Phase Holograms Using Advanced Machine Learning Algorithms and GPU Acceleration
by Luz Hernández-Felipe, José Humberto Arroyo-Nuñez, César Camacho-Bello and Iván Rivas-Cambero
Optics 2024, 5(4), 544-565; https://doi.org/10.3390/opt5040041 - 25 Nov 2024
Viewed by 351
Abstract
Phase holography is a critical optical imaging and information processing technique with applications ranging from microscopy to optical communications. However, optimizing phase hologram generation remains a significant challenge due to the non-convex nature of the optimization problem. This paper presents a novel multiplane [...] Read more.
Phase holography is a critical optical imaging and information processing technique with applications ranging from microscopy to optical communications. However, optimizing phase hologram generation remains a significant challenge due to the non-convex nature of the optimization problem. This paper presents a novel multiplane optimization approach for phase hologram generation to minimize the reconstruction error across multiple focal planes. We significantly improve holographic reconstruction quality by integrating advanced machine learning algorithms like RMSprop and Adam with GPU acceleration. The proposed method utilizes TensorFlow to implement custom propagation layers, optimizing the phase hologram to reduce errors at strategically selected distances. Full article
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<p>USAF −1951 resolution test chart used as the reference image [<a href="#B57-optics-05-00041" class="html-bibr">57</a>].</p>
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<p>Sensitivity analysis of multiplane optimization concerning the distance parameter <span class="html-italic">d</span>.</p>
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<p>Comparison of the evolution of the loss function during phase hologram optimization using different algorithms and configurations. The graph shows the decrease in error evaluated under both the multi-plane optimization proposal and the traditional single-plane optimization.</p>
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16 pages, 350 KiB  
Article
Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions
by Suliman M. Sowileh, Gangadharan Murugusundaramoorthy, Borhen Halouani, Ibrahim S. Elshazly, Mohamed A. Mamon and Alaa H. El-Qadeem
Axioms 2024, 13(12), 821; https://doi.org/10.3390/axioms13120821 - 25 Nov 2024
Viewed by 218
Abstract
New subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients a2, a3 and a4. Furthermore, we have verified the specific situations satisfying the famous hypothesis of Brannan [...] Read more.
New subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients a2, a3 and a4. Furthermore, we have verified the specific situations satisfying the famous hypothesis of Brannan and Clunie. Additionally, we have obtained the well-known Fekete–Szegö inequality for the newly identified bi-univalent function subclasses. Our results not only improve, but also extend several existing results as particular cases. Full article
(This article belongs to the Special Issue Recent Advances in Complex Analysis and Applications, 2nd Edition)
17 pages, 329 KiB  
Article
Significant Study of Fuzzy Fractional Inequalities with Generalized Operators and Applications
by Rana Safdar Ali, Humira Sif, Gauhar Rehman, Ahmad Aloqaily and Nabil Mlaiki
Fractal Fract. 2024, 8(12), 690; https://doi.org/10.3390/fractalfract8120690 - 24 Nov 2024
Viewed by 221
Abstract
There are many techniques for the extension and generalization of fractional theories, one of which improves fractional operators by means of their kernels. This paper is devoted to the most general concept of interval-valued functions, studying fractional integral operators for interval-valued functions, along [...] Read more.
There are many techniques for the extension and generalization of fractional theories, one of which improves fractional operators by means of their kernels. This paper is devoted to the most general concept of interval-valued functions, studying fractional integral operators for interval-valued functions, along with the multi-variate extension of the Bessel–Maitland function, which acts as kernel. We discuss the behavior of Hermite–Hadamard Fejér (HHF)-type inequalities by using the convex fuzzy interval-valued function (C-FIVF) with generalized fuzzy fractional operators. Also, we obtain some refinements of Hermite–Hadamard(H-H)-type inequalities via convex fuzzy interval-valued functions (C-FIVFs). Our results extend and generalize existing findings from the literature. Full article
(This article belongs to the Special Issue Fractional Integral Inequalities and Applications, 3rd Edition)
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