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29 pages, 9790 KiB  
Article
Pattern Synthesis Design of Linear Array Antenna with Unequal Spacing Based on Improved Dandelion Optimization Algorithm
by Jianhui Li, Yan Liu, Wanru Zhao, Tianning Zhu, Zhuo Chen, Anyong Liu and Yibo Wang
Sensors 2025, 25(3), 861; https://doi.org/10.3390/s25030861 - 31 Jan 2025
Viewed by 403
Abstract
With the rapid development of radio technology and its widespread application in the military field, the electromagnetic environment in which radar communication operates is becoming increasingly complex. Among them, human radio interference makes radar countermeasures increasingly fierce. This requires radar systems to have [...] Read more.
With the rapid development of radio technology and its widespread application in the military field, the electromagnetic environment in which radar communication operates is becoming increasingly complex. Among them, human radio interference makes radar countermeasures increasingly fierce. This requires radar systems to have strong capabilities in resisting electronic interference, anti-radiation missiles, and radar detection. However, array antennas are one of the effective means to solve these problems. In recent years, array antennas have been extensively utilized in various fields, including radar, sonar, and wireless communication. Many evolutionary algorithms have been employed to optimize the size and phase of array elements, as well as adjust the spacing between them, to achieve the desired antenna pattern. The main objective is to enhance useful signals while suppressing interference signals. In this paper, we introduce the dandelion optimization (DO) algorithm, a newly developed swarm intelligence optimization algorithm that simulates the growth and reproduction of natural dandelions. To address the issues of low precision and slow convergence of the DO algorithm, we propose an improved version called the chaos exchange nonlinear dandelion optimization (CENDO) algorithm. The CENDO algorithm aims to optimize the spacing of antenna array elements in order to achieve a low sidelobe level (SLL) and deep nulls antenna pattern. In order to test the performance of the CENDO algorithm in solving the problem of comprehensive optimization of non-equidistant antenna array patterns, five experimental simulation examples are conducted. In Experiment Simulation Example 1, Experiment Simulation Example 2, and Experiment Simulation Example 3, the optimization objective is to reduce the SLL of non-equidistant arrays. The CENDO algorithm is compared with DO, particle swarm optimization (PSO), the quadratic penalty function method (QPM), based on hybrid particle swarm optimization and the gravity search algorithm (PSOGSA), the whale optimization algorithm (WOA), the grasshopper optimization algorithm (GOA), the sparrow search algorithm (SSA), the multi-objective sparrow search optimization algorithm (MSSA), the runner-root algorithm (RRA), and the cat swarm optimization (CSO) algorithms. In the three examples above, the SLLs obtained using the CENDO algorithm optimization are all the lowest. The above three examples all demonstrate that the improved CENDO algorithm performs better in reducing the SLL of non-equidistant antenna arrays. In Experiment Simulation Example 4 and In Experiment Simulation Example 5, the optimization objective is to reduce the SLL of a non-uniform array and generate some deep nulls in a specified direction. The CENDO algorithm is compared with the DO algorithm, PSO algorithm, CSO algorithm, pelican optimization algorithm (POA), and grey wolf optimizer (GWO) algorithm. In the two examples above, optimizing the antenna array using the CENDO algorithm not only results in the lowest SLL but also in the deepest zeros. The above examples both demonstrate that the improved CENDO algorithm has better optimization performance in simultaneously reducing the SLL of non-equidistant antenna arrays and reducing the null depth problem. In summary, the simulation results of five experiments show that the CENDO algorithm has better optimization ability in the comprehensive optimization problem of non-equidistant antenna array patterns than all the algorithms compared above. Therefore, it can be regarded as a strong candidate to solve problems in the field of electromagnetism. Full article
(This article belongs to the Section Radar Sensors)
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Figure 1
<p>The iterative model diagram of the CENDO algorithm.</p>
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<p>Logistic–tent chaotic mapping distribution diagram (<b>left</b>) and the mapping distribution histogram (<b>right</b>).</p>
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<p>Plots of changes in parameter <span class="html-italic">k</span> and parameter <span class="html-italic">α</span>.</p>
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<p>Comparison graph of growth factors between the original DO algorithm and the CENDO algorithm.</p>
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<p>The 3D three-dimensional images (<b>left</b>) and comparison plots of iterative curves (<b>right</b>).</p>
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<p>The 3D three-dimensional images (<b>left</b>) and comparison plots of iterative curves (<b>right</b>).</p>
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<p>The 3D three-dimensional images (<b>left</b>) and comparison plots of iterative curves (<b>right</b>).</p>
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<p>The 3D three-dimensional images (<b>left</b>) and comparison plots of iterative curves (<b>right</b>).</p>
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<p>Illustration of the geometry of a linear array antenna (<span class="html-italic">d<sub>i</sub></span> denotes array element spacing).</p>
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<p>Radiation patterns of optimized 10-element arrays by four algorithms.</p>
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<p>Unoptimized 3D radiograms (<b>left</b>) and 3D radiograms optimized by the CENDO algorithm (<b>right</b>).</p>
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<p>16-element linear array radiation pattern optimized using different algorithms.</p>
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<p>Unoptimized 3D radiograms (<b>left</b>) and 3D radiograms optimized by the CENDO algorithm (<b>right</b>).</p>
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<p><b>A</b> 28-element linear array antenna radiation pattern.</p>
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<p>Unoptimized 3D radiograms (<b>left</b>) and 3D radiograms optimized by the CENDO algorithm (<b>right</b>).</p>
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<p><b>A</b> 32-element linear array antenna radiation pattern.</p>
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<p>Unoptimized 3D radiograms (<b>left</b>) and 3D radiograms optimized by the CENDO algorithm (<b>right</b>).</p>
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<p>The array radiation patterns optimized by CSO [<a href="#B19-sensors-25-00861" class="html-bibr">19</a>], GWO [<a href="#B35-sensors-25-00861" class="html-bibr">35</a>], DO, and CENDO algorithms.</p>
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<p>Unoptimized 3D radiograms (<b>left</b>) and 3D radiograms optimized by the CENDO algorithm (<b>right</b>).</p>
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25 pages, 4089 KiB  
Article
Taguchi Method-Based Synthesis of a Circular Antenna Array for Enhanced IoT Applications
by Wided Amara, Ramzi Kheder, Ridha Ghayoula, Issam El Gmati, Amor Smida, Jaouhar Fattahi and Lassaad Latrach
Telecom 2025, 6(1), 7; https://doi.org/10.3390/telecom6010007 - 14 Jan 2025
Viewed by 625
Abstract
Linear antenna arrays exhibit radiation patterns that are restricted to a half-space and feature axial radiation, which can be a significant drawback for applications that require omnidirectional coverage. To address this limitation, the synthesis method utilizing the Taguchi approach, originally designed for linear [...] Read more.
Linear antenna arrays exhibit radiation patterns that are restricted to a half-space and feature axial radiation, which can be a significant drawback for applications that require omnidirectional coverage. To address this limitation, the synthesis method utilizing the Taguchi approach, originally designed for linear arrays, can be effectively extended to two-dimensional or planar antenna arrays. In the context of a linear array, the synthesis process primarily involves determining the feeding law and/or the spatial distribution of the elements along a single axis. Conversely, for a planar array, the synthesis becomes more complex, as it requires the identification of the complex weighting of the feed and/or the spatial distribution of sources across a two-dimensional plane. This adaptation to planar arrays is facilitated by substituting the direction θ with the pair of directions (θ,ϕ), allowing for a more comprehensive coverage of the angular domain. This article focuses on exploring various configurations of planar arrays, aiming to enhance their performance. The primary objective of these configurations is often to minimize the levels of secondary lobes and/or array lobes while enabling a full sweep of the angular space. Secondary lobes can significantly impede system performance, particularly in multibeam applications, where they restrict the minimum distance for frequency channel reuse. This restriction is critical, as it affects the overall efficiency and effectiveness of communication systems that rely on precise beamforming and frequency allocation. By investigating alternative planar array designs and their synthesis methods, this research seeks to provide solutions that improve coverage, reduce interference from secondary lobes, and ultimately enhance the functionality of antennas in diverse applications, including telecommunications, radar systems, and wireless communication. Full article
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<p>Electronic-scanning of the space with a secondary lobe level of −8 dB for a circular antenna array of 24 elements.</p>
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<p>Electronic-scanning of the space with a secondary lobe level of −28 dB for a circular antenna array of 16 elements.</p>
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<p>Geometry of the proposed antenna.</p>
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<p>Design and simulation of a circular antenna array with 10 elements.</p>
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<p>Reflection coefficient of the proposed antenna and 3D radiation pattern at 2.45 GHz.</p>
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<p>Polar radiation patterns for a circular antenna array with 10-elements at 2.45 GHz.</p>
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<p>Simulated results for 3D circular antenna array radiation pattern synthesis with 10-elements using PSO and GA algorithms at 2.45 GHz.</p>
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<p>Circular antenna array with 16-elements at 2.45 GHz. (<b>a</b>) Uniform excitation (16 antennas). (<b>b</b>) Taguchi excitation (16 antennas).</p>
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<p>Circular antenna array with 24-elements at 2.45 GHz. (<b>a</b>) Uniform excitation (24-antennas). (<b>b</b>) Taguchi excitation (24-antennas).</p>
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<p>Circular antenna array in concentric rings with isotropic elements.</p>
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<p>Simulation results of a concentric ring array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>).</p>
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<p>Simulation results of a concentric ring array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>).</p>
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<p>Simulation results of a concentric ring array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>).</p>
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<p>Simulation results of a concentric ring array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math>).</p>
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<p>Simulation results of a concentric ring array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>4</mn> </msub> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math>).</p>
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<p>Reduction of the side-lobe level for concentric ring arrays.</p>
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<p>Optimal excitation values found using the Taguchi method.</p>
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<p>Synthesis of 3D radiation patterns for an 18-element array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>) at 2.45 GHz. (<b>a</b>) Structure of the concentric ring array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>). (<b>b</b>) Uniform excitations. (<b>c</b>) Excitations with Evolutionary Programming (EP). (<b>d</b>) Excitations with Firefly Algorithm (FA). (<b>e</b>) Excitations with Taguchi method.</p>
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<p>Synthesis of 3D radiation patterns for a 24-element array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>) at 2.45 GHz. (<b>a</b>) Structure of the concentric ring array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>). (<b>b</b>) Uniform excitations. (<b>c</b>) Excitations with Taguchi method.</p>
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<p>Synthesis of 3D radiation patterns for a 30-element array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math>) at 2.45 GHz. (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math>), (<b>a</b>) Structure of the concentric ring array and (<b>b</b>) Uniform excitations. (<b>c</b>) Excitations with Evolutionary Programming (EP). (<b>d</b>) Excitations with the Firefly Algorithm (FA). (<b>e</b>) Excitations with Taguchi.</p>
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<p>Synthesis of 3D radiation patterns for a 36-element array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>4</mn> </msub> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math>) at <math display="inline"><semantics> <mrow> <mn>2.45</mn> </mrow> </semantics></math> GHz. (<b>a</b>) Structure of the concentric ring array (<math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>N</mi> <mn>4</mn> </msub> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math>). (<b>b</b>) Uniform excitations. (<b>c</b>) Excitations with Taguchi optimization.</p>
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14 pages, 495 KiB  
Article
Recurrent Deep Learning for Beam Pattern Synthesis in Optimized Antenna Arrays
by Armando Arce, Fernando Arce, Enrique Stevens-Navarro, Ulises Pineda-Rico, Marco Cardenas-Juarez and Abel Garcia-Barrientos
Appl. Sci. 2025, 15(1), 204; https://doi.org/10.3390/app15010204 - 29 Dec 2024
Viewed by 843
Abstract
This work proposes and describes a deep learning-based approach utilizing recurrent neural networks (RNNs) for beam pattern synthesis considering uniform linear arrays. In this particular case, the deep neural network (DNN) learns from previously optimized radiation patterns as inputs and generates complex excitations [...] Read more.
This work proposes and describes a deep learning-based approach utilizing recurrent neural networks (RNNs) for beam pattern synthesis considering uniform linear arrays. In this particular case, the deep neural network (DNN) learns from previously optimized radiation patterns as inputs and generates complex excitations as output. Beam patterns are optimized using a genetic algorithm during the training phase in order to reduce sidelobes and achieve high directivity. Idealized and test beam patterns are employed as inputs for the DNN, demonstrating their effectiveness in scenarios with high prediction complexity and closely spaced elements. Additionally, a comparative analysis is conducted among the three DNN architectures. Numerical experiments reveal improvements in performance when using the long short-term memory network (LSTM) compared to fully connected and convolutional neural networks. Full article
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Figure 1
<p>Proposed deep neural network architectures for prediction of the amplitude and phase of radiation patterns. (<b>a</b>) FCNN composed of four fully connected layers with 128 ReLU neurons and an output layer composed of 16 linear neurons. (<b>b</b>) 1D-CNN made up of two 1D-convolutional layers with 1024 and 512 hyperbolic tangent activation functions, two fully connected layers with 128 ReLU neurons, and an output layer of 16 linear neurons. (<b>c</b>) LSTM built using two LSTM layers with 1024 and 512 hyperbolic tangent activation functions, two fully connected layers with 128 ReLU neurons, and an output layer consisting of 16 linear neurons.</p>
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<p>Uniform linear array of 8 antenna elements used as a case study.</p>
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<p>Example of normalized power pattern ranging from 1 to 180 degrees.</p>
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<p>Performance of the LSTM during training and validation. (<b>a</b>) MSE during the training and validation process. (<b>b</b>) MAE during the training and validation process.</p>
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<p>Synthesized beam patterns obtained with idealized inputs: (<b>a</b>) Arbitrary triangular pulse and (<b>b</b>) arbitrary square.</p>
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<p>Radiation pattern synthesis resulting from test input patterns: (<b>a</b>) Test pattern 1 and (<b>b</b>) test pattern 2.</p>
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<p>Beam pattern synthesis obtained from input patterns with mutual coupling: (<b>a</b>) Test pattern at 65° and (<b>b</b>) test pattern at 115°.</p>
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14 pages, 3259 KiB  
Communication
Parallel DNA Synthesis to Produce Multi-Usage Two-Dimensional Barcodes
by Etkin Parlar and Jory Lietard
Appl. Sci. 2024, 14(24), 11663; https://doi.org/10.3390/app142411663 - 13 Dec 2024
Viewed by 676
Abstract
Data storage on DNA has emerged as a molecular approach to safeguarding digital information. Microarrays are an excellent source of complex DNA sequence libraries and are playing a central role in the development of this technology. However, the amount of DNA recovered from [...] Read more.
Data storage on DNA has emerged as a molecular approach to safeguarding digital information. Microarrays are an excellent source of complex DNA sequence libraries and are playing a central role in the development of this technology. However, the amount of DNA recovered from microarrays is often too small, and a PCR amplification step is usually required. Primer information can be conveyed alongside the DNA library itself in the form of readable barcodes made of DNA on the array surface. Here, we present a synthetic method to pattern QR and data matrix barcodes using DNA photolithography, phosphoramidite chemistry and fluorescent labeling. Patterning and DNA library synthesis occur simultaneously and on the same surface. We manipulate the chemical composition of the barcodes to make them indelible, erasable or hidden, and a simple chemical treatment under basic conditions can reveal or degrade the pattern. In doing so, information crucial to retrieval and amplification can be made available by the user at the appropriate stage. The code and its data contained within are intimately linked to the library as they are synthesized simultaneously and on the same surface. This process is, in principle, applicable to any in situ microarray synthesis method, for instance, inkjet or electrochemical DNA synthesis. Full article
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<p>(<b>A</b>) Microarray subdivision of the addressable area into areas for library synthesis and for barcode synthesis. The barcode area is a strip of ~150 × 768 pixels, or ~2.1 × 10.7 mm<sup>2</sup> given the size of a single addressable unit (14 × 14 μm<sup>2</sup>), and contains up to four DNA barcodes (QR codes or data matrix). (<b>B</b>) The DNA library synthesized in the library area is a 97mer with both forward and reverse primers (in italic) synthesized along with the insert. A Cy3 dye terminates the strand at the 5′ end. (<b>C</b>) An example of a minimal, digitally created QR code delivering primer sequence information upon scanning and thus allowing for the amplification of the synthesized DNA.</p>
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<p>Photolithographic process of barcoded microarray synthesis. (<b>A</b>) Two separate lists of DNA sequences are used to populate the two specified areas of microarray synthesis, one for the DNA pool and one for the barcode strip. The DNA sequences and their Cartesian coordinates serve to create a series of instructions for parallel DNA synthesis using photolithography, yielding a fluorescently labeled DNA microarray. (<b>B</b>) Toolbox of phosphoramidites employed in the synthesis of barcoded DNA arrays: standard photoprotected (benzyl-nitrophenylpropyloxycarbonyl, Bz-NPPOC) DNA phosphoramidites (top) and base-cleavable succinyl-dT and Cy3 phosphoramidites (bottom).</p>
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<p>Chemical design of the “persist”, “appear” and “fade” QR codes. (<b>A</b>) Expected behavior of the three barcode types after synthesis (top) and after DNA deprotection (bottom). (<b>B</b>) The outcome of the EDA treatment, besides the removal of all protecting groups, was the hydrolysis of the ester functionality, which released all cleavable DNA from the surface. This allowed for the library to be retrieved as well as for fluorescence to massively decrease on all cleavable spots. (<b>C</b>) Schematic representation of the chemical composition of black and white pixels for all three QR types. The hollow black square represents the cleavable dT unit, and the tag is the fluorescent Cy3 marker.</p>
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<p>Scanned fluorescent DNA QR codes before (<b>A</b>) and after (<b>B</b>) EDA treatment. The EDA step removes the protecting groups on DNA and cleaves the oligonucleotides wherever a succinyl-dT was inserted. The “persist” code only contains non-cleavable DNA, the “appear” code contains cleavable DNA in the black pixels of the QR code and the “fade” code is cleavable at the labeled pixels only. Scanning was performed in a microarray scanner at a 532 nm excitation wavelength and 2.5 μm resolution. The scale bar is ~100 μm.</p>
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<p>Fading barcode visibility after an initial cleavage in EDA for 2 h and under increased brightness and contrast settings (left). Further treatment in EDA to induce additional cleavage in the labeled areas (16 h, then 72 h total) leads to minimal additional cleavage but retains the barcoding pattern. Signal/noise is understood as the ratio between fluorescence in the labeled areas (white pixels of the QR image) and background fluorescence in the non-labeled black pixels. Signal range refers to the range of Cy3 fluorescence in the labeled areas, in arbitrary units. Scale bar is ~100 μm.</p>
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<p>Design concept of the improved fading QR code. Three new strategies are investigated, and the corresponding DNA QR codes are synthesized next to each other on the same microarray. The single cut approach includes a single succinyl-dT unit on both black and white pixels; the mixed-cut approach contains multiple cleavage sites in the DNA (squared dTs in the sequence) at the level of the white pixels; and the multi-cuts approach replaces all dTs with succinyl-dT on both white and black pixels. The green tag corresponds to a 5′-Cy3 fluorescent marker.</p>
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<p>Fluorescence scans of the barcode strip of a DNA microarray made with the second design for fading QR codes. The array was scanned on a microarray scanner, GenePix 4100A, at a 5 μm resolution with 532 nm wavelength excitation. (<b>A</b>) Scan post-synthesis and pre-treatment with EDA. (<b>B</b>) Scan post-treatment with EDA for 2 h and under similar brightness and contrast settings as for the pre-treatment scan. (<b>C</b>) EDA-treated array and its corresponding scan under high brightness levels. (<b>D</b>) Extreme brightness and contrast adjustments in a graphics editor are necessary to partially reveal a pattern of labeled/non-labeled features in the multi-cut design, with the barcode being largely non-functional.</p>
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13 pages, 3632 KiB  
Article
Lethal and Sublethal Toxicity of Nanosilver and Carbon Nanotube Composites to Hydra vulgaris—A Toxicogenomic Approach
by Joelle Auclair, Eva Roubeau-Dumont and François Gagné
Nanomaterials 2024, 14(23), 1955; https://doi.org/10.3390/nano14231955 - 5 Dec 2024
Viewed by 850
Abstract
The increasing use of nanocomposites has raised concerns about the potential environmental impacts, which are less understood than those observed with individual nanomaterials. The purpose of this study was to investigate the toxicity of nanosilver carbon-walled nanotube (AgNP–CWNT) composites in Hydra vulgaris. [...] Read more.
The increasing use of nanocomposites has raised concerns about the potential environmental impacts, which are less understood than those observed with individual nanomaterials. The purpose of this study was to investigate the toxicity of nanosilver carbon-walled nanotube (AgNP–CWNT) composites in Hydra vulgaris. The lethal and sublethal toxicity was determined based on the characteristic morphological changes (retraction/loss of tentacles and body disintegration) for this organism. In addition, a gene expression array was optimized for gene expression analysis for oxidative stress (superoxide dismutase, catalase), regeneration and growth (serum response factor), protein synthesis, oxidized DNA repair, neural activity (dopamine decarboxylase), and the proteasome/autophagy pathways. The hydras were exposed for 96 h to increasing concentrations of single AgNPs, CWNTs, and to 10% AgNPs–90% CWNTs, and 50% AgNPs–50% CNWT composites. Transmission electron microscopy (TEM) and energy dispersive X-ray spectroscopy (EDS) analysis revealed the presence of AgNPs attached to the carbon nanotubes and AgNP aggregates. The data revealed that the AgNP–CWNT composites were more toxic than their counterparts (AgNPs and CNWT). The sublethal morphological changes (EC50) were strongly associated with oxidative stress and protein synthesis while lethal morphological changes (LC50) encompassed changes in dopamine activity, regeneration, and proteasome/autophagic pathways. In conclusion, the toxicity of AgNP–CWNT composites presents a different pattern in gene expression, and at lower threshold concentrations than those obtained for AgNPs or CWNTs alone. Full article
(This article belongs to the Special Issue Advances in Toxicity of Nanoparticles in Organisms (2nd Edition))
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<p>Gene expression changes in hydra exposed to various forms of silver. Hydra were exposed to carbon-walled nanotubes (CWNTs), AgNPs, 10% AgNPs–90% CWNT, and 50% AgNPs–CWNT composites. The data is expressed as the median (star symbol), the 25th–75th quantiles (box), and the data range (minimum–maximum, brackets).</p>
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<p>Gene expression changes in hydra exposed to various forms of silver. Hydra were exposed to carbon-walled nanotubes (CWNTs), AgNPs, 10% AgNPs–90% CWNT, and 50% AgNPs–CWNT composites. The data is expressed as the median (star symbol), the 25th–75th quantiles (box), and the data range (minimum–maximum, brackets).</p>
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<p>Hierarchical tree analysis of CNT, various forms of silver, and toxicity. The analysis was performed on the toxicity thresholds for gene expression changes (<a href="#nanomaterials-14-01955-t002" class="html-table">Table 2</a>). The distance was calculated based on (1 − R) on the x axis.</p>
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<p>Discriminant function analysis of gene expression. Discriminant function analysis was performed on the gene expression data at the same concentration range (3–6 ug/L. The points represent the mean distribution of the scored data and the most significant gene changes are found in the parenthesis for each factor (axis).</p>
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17 pages, 3016 KiB  
Article
Phase-Only Transmit Beampattern Synthesis Method for Cluttered Environments for Airborne Radar
by Jing Shi, Cao Zeng, Lichu Lai and Jiaqi Zhang
Electronics 2024, 13(23), 4766; https://doi.org/10.3390/electronics13234766 - 2 Dec 2024
Viewed by 523
Abstract
In order to solve the problem of strong downward clutter jamming in airborne radar detection, we propose a phase-only transmit beampattern synthesis method. Firstly, with the aim of minimizing the sidelobe gain in the cluttered region, the desired radiation pattern is constructed by [...] Read more.
In order to solve the problem of strong downward clutter jamming in airborne radar detection, we propose a phase-only transmit beampattern synthesis method. Firstly, with the aim of minimizing the sidelobe gain in the cluttered region, the desired radiation pattern is constructed by using terrain environmental information from where the airborne radar operates. Secondly, an optimization model for phase-only transmit beampattern synthesis accounting for four constraints (the mainlobe gain, the sidelobe gain in the highly cluttered region, the sidelobe gain at other angles, and the amplitude of the weight vector) is established. The Alternating Direction Method of Multipliers (ADMM) is then used to find the iterative solution. Based on the results of four sets of simulation examples designed to verify the effectiveness of the proposed method, it is concluded that the method can reduce the echo intensity in the cluttered region and is suitable for a wide range of array configurations. Full article
(This article belongs to the Special Issue Advances in Array Signal Processing for Diverse Applications)
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<p>The program flow of the proposed beampattern synthesis method.</p>
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<p>The relationship between clutter echo power and <math display="inline"><semantics> <mi>θ</mi> </semantics></math> simulated by using the Morchin model: (<b>a</b>) ground clutter; (<b>b</b>) sea clutter.</p>
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<p>Simulation results of Example 1: (<b>a</b>) evolution curve; (<b>b</b>) amplitude- and phase-weighted results; (<b>c</b>) beampattern synthesis results; (<b>d</b>) unnormalized beampattern synthesis results; (<b>e</b>) echo signal power.</p>
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<p>Simulation results of Example 2: (<b>a</b>) evolution curve; (<b>b</b>) amplitude- and phase-weighted results; (<b>c</b>) beampattern synthesis results; (<b>d</b>) unnormalized beampattern synthesis results; (<b>e</b>) echo signal power.</p>
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<p>Simulation results of Example 3: (<b>a</b>) array position; (<b>b</b>) evolution curve; (<b>c</b>) amplitude- and phase-weighted results; (<b>d</b>) beampattern synthesis results; (<b>e</b>) unnormalized beampattern synthesis results; (<b>f</b>) 3D representations of synthesized beampattern; (<b>g</b>) standard beampattern; (<b>h</b>) unnormalized standard beampattern; (<b>i</b>) 3D representations of standard beampattern; (<b>j</b>) echo signal power of gain-free beampattern; (<b>k</b>) echo signal power of original beampattern; (<b>l</b>) echo signal power of proposed algorithm.</p>
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<p>Simulation results of Example 4: (<b>a</b>) array position; (<b>b</b>) evolution curve; (<b>c</b>) amplitude- and phase-weighted results; (<b>d</b>) beampattern synthesis results; (<b>e</b>) unnormalized beampattern synthesis results; (<b>f</b>) 3D representations of synthesized beampattern; (<b>g</b>) standard beampattern; (<b>h</b>) unnormalized standard beampattern; (<b>i</b>) 3D representations of standard beampattern; (<b>j</b>) echo signal power of gain-free beampattern; (<b>k</b>) echo signal power of original beampattern; (<b>l</b>) echo signal power of proposed algorithm.</p>
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<p>Simulation results of Example 4: (<b>a</b>) array position; (<b>b</b>) evolution curve; (<b>c</b>) amplitude- and phase-weighted results; (<b>d</b>) beampattern synthesis results; (<b>e</b>) unnormalized beampattern synthesis results; (<b>f</b>) 3D representations of synthesized beampattern; (<b>g</b>) standard beampattern; (<b>h</b>) unnormalized standard beampattern; (<b>i</b>) 3D representations of standard beampattern; (<b>j</b>) echo signal power of gain-free beampattern; (<b>k</b>) echo signal power of original beampattern; (<b>l</b>) echo signal power of proposed algorithm.</p>
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24 pages, 2843 KiB  
Review
Graphitic Carbon Nitride: A Novel Two-Dimensional Metal-Free Carbon-Based Polymer Material for Electrochemical Detection of Biomarkers
by Ganesan Kausalya Sasikumar, Pitchai Utchimahali Muthu Raja, Peter Jerome, Rathinasamy Radhamani Shenthilkumar and Putrakumar Balla
C 2024, 10(4), 98; https://doi.org/10.3390/c10040098 - 27 Nov 2024
Viewed by 1298
Abstract
Graphitic carbon nitride (g-C3N4) has gained significant attention due to its unique physicochemical properties as a metal-free, two-dimensional, carbon-based polymeric fluorescent substance composed of tris-triazine-based patterns with a slight hydrogen content and a carbon-to-nitrogen ratio of 3:4. It forms [...] Read more.
Graphitic carbon nitride (g-C3N4) has gained significant attention due to its unique physicochemical properties as a metal-free, two-dimensional, carbon-based polymeric fluorescent substance composed of tris-triazine-based patterns with a slight hydrogen content and a carbon-to-nitrogen ratio of 3:4. It forms layered structures like graphite and demonstrates exciting and unusual physicochemical properties, making g-C3N4 widely used in nanoelectronic devices, spin electronics, energy storage, thermal conductivity materials, and many others. The biomedical industry has greatly benefited from its excellent optical, electrical, and physicochemical characteristics, such as abundance on Earth, affordability, vast surface area, and fast synthesis. Notably, the heptazine phase of g-C3N4 displays stable electronic bands. Another significant quality of this semiconductor material is its excellent fluorescence property, which is also helpful in preparing biosensors. Based on g-C3N4, electrochemical biosensors have provided better biocompatibility, higher sensitivity, low detection limits, nontoxicity, excellent selectivity, and surface versatility of functionalization for the delicate identification of target analytes. This review covers the latest studies on using efflorescent graphitic carbon nitride to fabricate electrochemical biosensors for various biomarkers. Carbon nitrides have been reported to possess excellent electroactivity properties, a massive surface-to-volume ratio, and hydrogen-bonding functionality, thus allowing electrochemical-based, highly sensitive, and selective detection platforms for an entire array of analytes. Considering the preceding information, this review addresses the fundamentals and background of g-C3N4 and its numerous synthesis pathways. Furthermore, the importance of electrochemical sensing of diverse biomarkers is emphasized in this review article. It also discusses the current status of the challenges and future perspectives of graphitic carbon nitride-based electrochemical sensors, which open paths toward their practical application in aspects of clinical diagnostics. Full article
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<p>Various phases of carbon nitride (CN).</p>
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<p>g-C<sub>3</sub>N<sub>4</sub>: Electronic structure (<b>a</b>); Band gap (<b>b</b>); 2D representation with C and N (<b>c</b>).</p>
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<p>Bulk g-C<sub>3</sub>N<sub>4</sub> from a different precursor material.</p>
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<p>Morphology of g-C<sub>3</sub>N<sub>4</sub>.</p>
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<p>Synthesis routes of g-C<sub>3</sub>N<sub>4</sub>.</p>
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<p>Electrochemical sensing of various biomarkers.</p>
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18 pages, 5747 KiB  
Article
Comparative Transcriptome Analysis of Non-Organogenic and Organogenic Tissues of Gaillardia pulchella Revealing Genes Regulating De Novo Shoot Organogenesis
by Yashika Bansal, A. Mujib, Mahima Bansal, Mohammad Mohsin, Afeefa Nafees and Yaser Hassan Dewir
Horticulturae 2024, 10(11), 1138; https://doi.org/10.3390/horticulturae10111138 - 25 Oct 2024
Viewed by 988
Abstract
Gaillardia pulchella is an important plant species with pharmacological and ornamental applications. It contains a wide array of phytocompounds which play roles against diseases. In vitro propagation requires callogenesis and differentiation of plant organs, which offers a sustainable, alternative synthesis of compounds. The [...] Read more.
Gaillardia pulchella is an important plant species with pharmacological and ornamental applications. It contains a wide array of phytocompounds which play roles against diseases. In vitro propagation requires callogenesis and differentiation of plant organs, which offers a sustainable, alternative synthesis of compounds. The morphogenetic processes and the underlying mechanisms are, however, known to be under genetic regulation and are little understood. The present study investigated these events by generating transcriptome data, with de novo assembly of sequences to describe shoot morphogenesis molecularly in G. pulchella. The RNA was extracted from the callus of pre- and post-shoot organogenesis time. The callus induction was optimal using leaf segments cultured onto MS medium containing α-naphthalene acetic acid (NAA; 2.0 mg/L) and 6-benzylaminopurine (BAP; 0.5 mg/L) and further exhibited a high shoot regeneration/caulogenesis ability. A total of 68,366 coding sequences were obtained using Illumina150bpPE sequencing and transcriptome assembly. Differences in gene expression patterns were noted in the studied samples, showing opposite morphogenetic responses. Out of 10,108 genes, 5374 (53%) were downregulated, and there were 4734 upregulated genes, representing 47% of the total genes. Through the heatmap, the top 100 up- and downregulating genes’ names were identified and presented. The up- and downregulated genes were identified using the Kyoto Encyclopedia of Genes and Genomes (KEGG) pathway. Important pathways, operative during G. pulchella shoot organogenesis, were signal transduction (13.55%), carbohydrate metabolism (8.68%), amino acid metabolism (5.11%), lipid metabolism (3.75%), and energy metabolism (3.39%). The synthesized proteins displayed phosphorylation, defense response, translation, regulation of DNA-templated transcription, carbohydrate metabolic processes, and methylation activities. The genes’ product also exhibited ATP binding, DNA binding, metal ion binding, protein serine/threonine kinase -, ATP hydrolysis activity, RNA binding, protein kinase, heme and GTP binding, and DNA binding transcription factor activity. The most abundant proteins were located in the membrane, nucleus, cytoplasm, ribosome, ribonucleoprotein complex, chloroplast, endoplasmic reticulum membrane, mitochondrion, nucleosome, Golgi membrane, and other organellar membranes. These findings provide information for the concept of molecular triggers, regulating programming, differentiation and reprogramming of cells, and their uses. Full article
(This article belongs to the Special Issue Plant Tissue and Organ Cultures for Crop Improvement in Omics Era)
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<p>(<b>A</b>) Non-organogenic callus, and (<b>B</b>) organogenic callus of <span class="html-italic">G. pulchella</span> with arrow indicating the origin of shoot from the callus mass.</p>
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<p>Workflow and tools used for mRNA sequence analysis of non-organogenic and organogenic callus of <span class="html-italic">G. pulchella</span>.</p>
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<p>Length distribution of primary assembly and unigenes of <span class="html-italic">G. pulchella</span>.</p>
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<p>KEGG pathway classification for <span class="html-italic">G. pulchella</span>.</p>
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<p>Top hit species distribution pattern showing the number of genes identified in <span class="html-italic">G. pulchella</span> matching with the other plant species.</p>
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<p>Gene ontology annotation for all a ssembled unigenes in the <span class="html-italic">G. pulchella</span> transcriptome.</p>
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<p>Volcano plot showing the comparison of differential expressed genes.</p>
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<p>Heatmap representing the gene expression of the top 100 differentially expressed genes in the non-organogenic and organogenic calluses of <span class="html-italic">G. pulchella</span>.</p>
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<p>Principal component analysis (PCA) plot showing the relationship between the non-organogenic and organogenic calluses of <span class="html-italic">G. pulchella</span>.</p>
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9 pages, 3535 KiB  
Technical Note
An Automated Digital Microfluidic System Based on Inkjet Printing
by Wansheng Hu, Ming Cao, Lingni Liao, Yuanhong Liao, Yuhan He, Mengxiao Ma, Simao Wang and Yimin Guan
Micromachines 2024, 15(11), 1285; https://doi.org/10.3390/mi15111285 - 23 Oct 2024
Viewed by 3142
Abstract
Cellular interactions, such as intercellular communication and signal transduction, can be enhanced within three-dimensional cell spheroids, contributing significantly to cellular viability and proliferation. This is crucial for advancements in cancer research, drug testing, and personalized medicine. The dimensions of the cell spheroids play [...] Read more.
Cellular interactions, such as intercellular communication and signal transduction, can be enhanced within three-dimensional cell spheroids, contributing significantly to cellular viability and proliferation. This is crucial for advancements in cancer research, drug testing, and personalized medicine. The dimensions of the cell spheroids play a pivotal role in their functionality, affecting cell proliferation and differentiation, intercellular interactions, gene expression, protein synthesis, drug penetration, and metabolism. Consequently, different spheroid sizes may be required for various drug sensitivity experiments. However, conventional 3D cell spheroid cultures suffer from challenges such as size inconsistency, poor uniformity, and low throughput. To address these issues, we have developed an automated, intelligent system based on inkjet printing. This system allows for precise control of droplet volume by adjusting algorithms, thereby enabling the formation of spheroids of varying sizes. For spheroids of a single size, the printing pattern can be modified to achieve a coefficient of variation within 10% through a bidirectional compensation method. Furthermore, the system is equipped with an automatic pipetting module, which facilitates the high-throughput preparation of cell spheroids. We have implemented a 3 × 3 spheroid array in a 24-well plate, printing a total of 216 spheroids in just 11 min. Last, we attempted to print mouse small intestinal organoids and cultured them for 7 days, followed by immunofluorescent staining experiments. The results indicate that our equipment is capable of supporting the culture of organoids, which is of great significance for high-throughput drug screening and personalized medicine. Full article
(This article belongs to the Section D3: 3D Printing and Additive Manufacturing)
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<p>Flowchart of traditional cell sphere culture and bioprinting culture.</p>
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<p>(<b>a</b>) A schematic diagram of the microfluidic chip. (<b>b</b>) A portion of the chip under the microscope; the scale is 500 μm.</p>
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<p>Bioprinting system.</p>
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<p>(<b>a</b>) Spontaneous aggregation process of printed cells within 24 h. (<b>b</b>) Comparative diameter of printing culture and suspension culture at days 0, 1, 3, and 7.</p>
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<p>(<b>a</b>) Spontaneous aggregation process of printed cells within 24 h. (<b>b</b>) Comparative diameter of printing culture and suspension culture at days 0, 1, 3, and 7.</p>
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<p>Comparison of diameter and coefficient of variation (<span class="html-italic">CV)</span> between printing culture and suspension culture at day 7.</p>
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<p>Print diagrams and nozzle usage ratios before and after optimization.</p>
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<p>Culture diagrams of single and merge printing at day 0, day 1, and day 3.</p>
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<p>Intestinal organoid culture at day 7 and immunofluorescence stained with Hoechst and Mucin2.</p>
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20 pages, 7347 KiB  
Article
Linear Antenna Array Pattern Synthesis Using Multi-Verse Optimization Algorithm
by Anoop Raghuvanshi, Abhinav Sharma, Abhishek Kumar Awasthi, Rahul Singhal, Abhishek Sharma, Sew Sun Tiang, Chin Hong Wong and Wei Hong Lim
Electronics 2024, 13(17), 3356; https://doi.org/10.3390/electronics13173356 - 23 Aug 2024
Viewed by 1172
Abstract
The design of an effective antenna array is a major challenge encountered in most communication systems. A much-needed requirement is obtaining a directional and high-gain radiation pattern. This study deals with the design of a linear antenna array that radiates with reduced peak-side [...] Read more.
The design of an effective antenna array is a major challenge encountered in most communication systems. A much-needed requirement is obtaining a directional and high-gain radiation pattern. This study deals with the design of a linear antenna array that radiates with reduced peak-side lobe levels (PSLL), decreases side-lobe average power with and without the first null beamwidth (FNBW) constraint, places deep nulls in the desired direction, and minimizes the close-in-side lobe levels (CSLL). The nature-inspired metaheuristic algorithm multi-verse optimization (MVO) is explored with other state-of-the-art algorithms to optimize the parameters of the antenna array. MVO is a global search method that is less prone to being stuck in the local optimal solution, providing a better alternative for beam-pattern synthesis. Eleven design examples have been demonstrated, which optimizes the amplitude and position of antenna array elements. The simulation results illustrate that MVO outperforms other algorithms in all the design examples and greatly enhances the radiation characteristics, thus promoting industrial innovation in antenna array design. In addition, the MVO algorithm’s performance was validated using the Wilcoxon non-parametric test. Full article
(This article belongs to the Special Issue AI Used in Mobile Communications and Networks)
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<p>Linear antenna array with 2N number of elements placed along the <span class="html-italic">x</span>-axis.</p>
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<p>Flowchart of the multiverse-optimization algorithm.</p>
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<p>Array pattern of design example AA.</p>
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<p>Distribution of currents in 14 element LAA of design example AA.</p>
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<p>Array pattern for design example AB1.</p>
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<p>Array pattern for design example AB2.</p>
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<p>Array pattern for design example AC.</p>
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<p>Array pattern for design example AD.</p>
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<p>Array pattern for design example AE.</p>
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<p>Array pattern for design example PA.</p>
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<p>Array pattern for design example PB.</p>
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<p>Array pattern for design example PC.</p>
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<p>Array pattern for design example PD.</p>
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<p>Array pattern for design example PE.</p>
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<p>Array pattern of design example AA obtained using full-wave approach.</p>
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<p>Array pattern of design example PA obtained using full-wave approach.</p>
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13 pages, 5221 KiB  
Proceeding Paper
Deterministic Design Procedures on Limited Field-of-View Planar Arrays for Satellite Communications Employing Aperture Scaling
by Theodoros N. F. Kaifas
Eng. Proc. 2024, 70(1), 17; https://doi.org/10.3390/engproc2024070017 - 31 Jul 2024
Cited by 1 | Viewed by 512
Abstract
The antenna field of view, the angle range that can be accessed by scanning the main beam of a phased array, is one of the key performance prescriptions especially for space-borne aerials. The classical example of the full Earth, continental and subcontinental field [...] Read more.
The antenna field of view, the angle range that can be accessed by scanning the main beam of a phased array, is one of the key performance prescriptions especially for space-borne aerials. The classical example of the full Earth, continental and subcontinental field of view of the geosynchronous satellite is indicative, and it extends to the medium and lower orbit multibeam telecommunication systems. There, a high-gain, very small beamwidth pencil beam should scan a given service area. At the same time, it should exhibit extremely low sidelobes in order not to present interference to adjacent geographical areas, served by neighboring beams, and keep its grating lobes out of the Earth’s surface. High-throughput telecommunication satellites should comply with those prescriptions to be given permission for placement in orbit. Thus, the motivation for delivering solid methods for the design of limited-field-of-view array antennas is high. A proposal in this direction is presented in the work at hand. Indeed, in the present study a scaling transformation is used to map a wide-angle scanning array to a limited-field-of-view one. We start the design from a Full-Field-of-View array with the appropriate half-power beamwidth, sidelobe level, and directivity index, and then we enlarge it to attain the desired one with the limited-field-of-view pattern characteristics. The potential of the method is solid since it augments the limited-field-of-view design methods using the excellent performance of the respective full-field-of-view ones. As a result, the synthesis of a limited-field-of-view array can use any of the well-known array synthesis methods in conjunction with the right scaling. Additionally, one can employ design methods that rely on sampling of planar aperture distributions. Various design examples, employing both sampling of continuous apertures and utilizing classical full-field-of-view array synthesis methods, are included and presented in detail, verifying the merit of our approach. Full article
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<p>The initial full-field-of-view (red) and the resulting limited-field-of-view (green) array patterns after the scaling procedure.</p>
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<p>cos<span class="html-italic">θ</span>/cos<span class="html-italic">θ</span>′ = cos<span class="html-italic">θ<sub>F</sub></span>/cos<span class="html-italic">θ<sub>L</sub></span> as a function of FFoV range.</p>
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<p>The flowchart of the design procedure.</p>
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<p>Power pattern: (<b>a</b>) red: without element pattern, green: with element pattern, and (<b>b</b>) layout of the final array.</p>
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<p>Power pattern: (<b>a</b>) red: without element pattern, green: with element pattern, and (<b>b</b>) layout of the final array.</p>
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<p>The power pattern of the designed array for various φ cuts (red: without element pattern, green: with element pattern).</p>
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<p>The power pattern of the designed array for various φ cuts (red: without element pattern, green: with element pattern).</p>
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21 pages, 20321 KiB  
Article
Spatial–Temporal Joint Design and Optimization of Phase-Coded Waveform for MIMO Radar
by Wei Lei, Yue Zhang, Zengping Chen, Xiaolong Chen and Qiang Song
Remote Sens. 2024, 16(14), 2647; https://doi.org/10.3390/rs16142647 - 19 Jul 2024
Cited by 1 | Viewed by 1014
Abstract
By simultaneously transmitting multiple different waveform signals, a multiple-input multiple-output (MIMO) radar possesses higher degrees of freedom and potential in many aspects compared to a traditional phased-array radar. The spatial–temporal characteristics of waveforms are the key to determining their performance. In this paper, [...] Read more.
By simultaneously transmitting multiple different waveform signals, a multiple-input multiple-output (MIMO) radar possesses higher degrees of freedom and potential in many aspects compared to a traditional phased-array radar. The spatial–temporal characteristics of waveforms are the key to determining their performance. In this paper, a transmitting waveform design method based on spatial–temporal joint (STJ) optimization for a MIMO radar is proposed, where waveforms are designed not only for beam-pattern matching (BPM) but also for minimizing the autocorrelation sidelobes (ACSLs) of the spatial synthesis signals (SSSs) in the directions of interest. Firstly, the STJ model is established, where the two-step strategy and least squares method are utilized for BPM, and the L2p-Norm of the ACSL is constructed as the criterion for temporal characteristics optimization. Secondly, by transforming it into an unconstrained optimization problem about the waveform phase and using the gradient descent (GD) algorithm, the hard, non-convex, high-dimensional, nonlinear optimization problem is solved efficiently. Finally, the method’s effectiveness is verified through numerical simulation. The results show that our method is suitable for both orthogonal and partial-correlation MIMO waveform designs and efficiently achieves better spatial–temporal characteristic performances simultaneously in comparison with existing methods. Full article
(This article belongs to the Special Issue Technical Developments in Radar—Processing and Application)
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<p>The algorithm flow for the spatial–temporal joint optimization of the MIMO radar multiphase-encoded waveform based on gradient descent.</p>
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<p>The spatial–temporal characteristics of the orthogonal waveform designed using several methods. (<b>a</b>) The autocorrelation and cross-correlation of the waveform obtained using the Multi-CAN method. (<b>b</b>) The autocorrelation and cross-correlation of waveform designed using the STJ-L2pSL-GD method. (<b>c</b>) The autocorrelation of spatial synthesis signals in the directions <math display="inline"><semantics> <mrow> <mo>−</mo> <mrow> <mn>90</mn> </mrow> <mo>°</mo> <mo>~</mo> <mrow> <mn>90</mn> </mrow> <mo>°</mo> </mrow> </semantics></math> using the Multi-CAN method. (<b>d</b>) The autocorrelation of spatial synthesis signals in the directions <math display="inline"><semantics> <mrow> <mo>−</mo> <mrow> <mn>90</mn> </mrow> <mo>°</mo> <mo>~</mo> <mrow> <mn>90</mn> </mrow> <mo>°</mo> </mrow> </semantics></math> using the STJ-L2pSL-GD method. (<b>e</b>) The projection of autocorrelation of spatial synthetic signals in the <math display="inline"><semantics> <mrow> <mo>−</mo> <mrow> <mn>90</mn> </mrow> <mo>°</mo> <mo>~</mo> <mrow> <mn>90</mn> </mrow> <mo>°</mo> </mrow> </semantics></math> directions to the distance dimension. (<b>f</b>) The beam pattern of the waveform designed using several methods.</p>
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<p>The covariance matrix results through the beam-pattern matching method. (<b>a</b>) The modulus value graph of the designed covariance matrix when <math display="inline"><semantics> <mrow> <msub> <mi>w</mi> <mi>c</mi> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>. (<b>b</b>) The beam-pattern results of the designed covariance matrix. (<b>c</b>) Correlation characteristics between the beam in the <math display="inline"><semantics> <mrow> <mn>0</mn> <mo>°</mo> </mrow> </semantics></math> direction and the beams in other directions. (<b>d</b>) Correlation characteristics between the beam in the <math display="inline"><semantics> <mrow> <mrow> <mn>50</mn> </mrow> <mo>°</mo> </mrow> </semantics></math> direction and the beams in other directions.</p>
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<p>Spatial–temporal joint optimization results for partial-related waveform. (<b>a</b>) The comparison of beam-pattern characteristics from different methods. (<b>b</b>) The autocorrelation of the spatial synthesis signal of the waveform designed using the STJ-L2pSL-GD method, where <math display="inline"><semantics> <mrow> <msub> <mi>μ</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> in the directions of interest. (<b>c</b>) The autocorrelation of spatial synthesis signals of the waveform designed using the STJ-SQP method, where <math display="inline"><semantics> <mrow> <msub> <mi>μ</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> in the directions of interest. (<b>d</b>) The projection of autocorrelation of the spatial synthetic signals in the directions of interest, <math display="inline"><semantics> <mrow> <mo stretchy="false">[</mo> <mo>−</mo> <mrow> <mn>10</mn> </mrow> <mo>°</mo> <mo>,</mo> <mn>10</mn> <mo stretchy="false">]</mo> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mo stretchy="false">[</mo> <mrow> <mn>40</mn> </mrow> <mo>°</mo> <mo>,</mo> <mrow> <mn>60</mn> </mrow> <mo>°</mo> <mo stretchy="false">]</mo> </mrow> </semantics></math>, to the distance dimension.</p>
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<p>The echo processing results of the waveform designed using the STJ-L2pSL-GD method, where <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mi>t</mi> </msub> <mo>=</mo> <mn>16</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>128</mn> </mrow> </semantics></math>. (<b>a</b>) Echo processing results of a single target in a 0-degree azimuth under orthogonal waveform mode, without receive beamforming (<math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mi>r</mi> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>). (<b>b</b>) Echo processing results of a single target in a 0-degree azimuth under orthogonal waveform mode, with receive beamforming (<math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mi>r</mi> </msub> <mo>=</mo> <mn>16</mn> </mrow> </semantics></math>). (<b>c</b>) Echo processing results of a single target in a 0-degree azimuth under multi-beam of <a href="#remotesensing-16-02647-f004" class="html-fig">Figure 4</a>a, with receive beamforming (<math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mi>r</mi> </msub> <mo>=</mo> <mn>16</mn> </mrow> </semantics></math>). (<b>d</b>) Echo processing results of bi-target in a 0-degree azimuth and 50-degree azimuth, respectively, under multi-beam of <a href="#remotesensing-16-02647-f004" class="html-fig">Figure 4</a>a, with receive beamforming (<math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mi>r</mi> </msub> <mo>=</mo> <mn>16</mn> </mrow> </semantics></math>).</p>
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<p>The sidelobe situations of spatial synthesis signals of our STJ-L2pSL-GD method in the directions of interest under different <math display="inline"><semantics> <mi>p</mi> </semantics></math>-values using the linear search strategy and under a multi-beam mode. (<b>a</b>) L2pSL convergence curve under different <math display="inline"><semantics> <mi>p</mi> </semantics></math>-values. (<b>b</b>) PSL convergence curve under different <math display="inline"><semantics> <mi>p</mi> </semantics></math>-values. (<b>c</b>) ISL convergence curve under different <math display="inline"><semantics> <mi>p</mi> </semantics></math>-values. (<b>d</b>) Autocorrelation of spatial synthesis signals in <math display="inline"><semantics> <mrow> <mn>0</mn> <mo>°</mo> </mrow> </semantics></math> direction under different <math display="inline"><semantics> <mi>p</mi> </semantics></math>-values.</p>
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<p>Convergence evaluation of waveform STJ optimization algorithm, where <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mi>t</mi> </msub> <mo>=</mo> <mn>16</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>128</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>μ</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>μ</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>s</mi> <mi>t</mi> <mi>e</mi> <msub> <mi>p</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>0.2</mn> <mi>π</mi> </mrow> </semantics></math>. (<b>a</b>) Convergence curve of MSE for BPM in covariance designing. (<b>b</b>) Convergence curve of MSE for covariance matrix matching in waveform designing using STJ-L2pSL-GD method. (<b>c</b>) Convergence curve of L2pSL of spatial synthesis signals in directions of interest for STJ-L2pSl-GD method. (<b>d</b>) Convergence curves for the sum of PSLs in the temporal domain and MSEs in covariance matrix matching under different modes and parameters of STJ-SQP and STJ-L2pSL-GD algorithms.</p>
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17 pages, 7028 KiB  
Article
Patterns of Diversity and Humoral Immunogenicity for HIV-1 Antisense Protein (ASP)
by Diogo Gama Caetano, Paloma Napoleão-Pêgo, Larissa Melo Villela, Fernanda Heloise Côrtes, Sandra Wagner Cardoso, Brenda Hoagland, Beatriz Grinsztejn, Valdilea Gonçalves Veloso, Salvatore Giovanni De-Simone and Monick Lindenmeyer Guimarães
Vaccines 2024, 12(7), 771; https://doi.org/10.3390/vaccines12070771 - 13 Jul 2024
Viewed by 1212
Abstract
HIV-1 has an antisense gene overlapping env that encodes the ASP protein. ASP functions are still unknown, but it has been associated with gp120 in the viral envelope and membrane of infected cells, making it a potential target for immune response. Despite this, [...] Read more.
HIV-1 has an antisense gene overlapping env that encodes the ASP protein. ASP functions are still unknown, but it has been associated with gp120 in the viral envelope and membrane of infected cells, making it a potential target for immune response. Despite this, immune response patterns against ASP are poorly described and can be influenced by the high genetic variability of the env gene. To explore this, we analyzed 100k HIV-1 ASP sequences from the Los Alamos HIV sequence database using phylogenetic, Shannon entropy (Hs), and logo tools to study ASP variability in worldwide and Brazilian sequences from the most prevalent HIV-1 subtypes in Brazil (B, C, and F1). Data obtained in silico guided the design and synthesis of 15-mer overlapping peptides through spot synthesis on cellulose membranes. Peptide arrays were screened to assess IgG and IgM responses in pooled plasma samples from HIV controllers and individuals with acute or recent HIV infection. Excluding regions with low alignment accuracy, several sites with higher variability (Hs > 1.5) were identified among the datasets (25 for worldwide sequences, 20 for Brazilian sequences). Among sites with Hs < 1.5, sequence logos allowed the identification of 23 other sites with subtype-specific signatures. Altogether, amino acid variations with frequencies > 20% in the 48 variable sites identified were included in 92 peptides, divided into 15 sets, representing near full-length ASP. During the immune screening, the strongest responses were observed in three sets, one in the middle and one at the C-terminus of the protein. While some sets presented variations potentially associated with epitope displacement between IgG and IgM targets and subtype-specific signatures appeared to impact the level of response for some peptides, signals of cross-reactivity were observed for some sets despite the presence of B/C/F1 signatures. Our data provides a map of ASP regions preferentially targeted by IgG and IgM responses. Despite B/C/F1 subtype signatures in ASP, the amino acid variation in some areas preferentially targeted by IgM and IgG did not negatively impact the response against regions with higher immunogenicity. Full article
(This article belongs to the Special Issue Research on HIV/AIDS Vaccine)
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Figure 1

Figure 1
<p>Maximum likelihood tree for worldwide ASP HIV-1 subtype B sequences. The tree was generated from 5771 subtype B sequences in the PerPatient dataset with the Fasttree2 algorithm and plotted/annotated with iTol. The tree was rooted with a subtype D reference clade. Branches are colored, and clades are shaded according to the sequence’s isolation country, as depicted in the legend. The colored concentric ring external to the tree represents the year of the sample collection, which is also colored according to the legend.</p>
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<p>Maximum likelihood tree for worldwide ASP HIV-1 subtype C sequences. The tree was generated from 2119 subtype C sequences in the PerPatient dataset with the Fasttree2 algorithm and plotted/annotated with iTol. The tree was rooted with a subtype D reference clade. Branches are colored, and clades are shaded according to the sequence’s isolation country, as depicted in the legend. The colored concentric ring external to the tree represents the year of the sample collection, which is also colored according to the legend.</p>
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<p>Maximum likelihood tree for worldwide ASP HIV-1 sub-subtype F1 sequences. The tree was generated from 189 sub-subtype F1 sequences in the PerPatient dataset with the Fasttree2 algorithm and plotted/annotated with iTol. The tree was rooted with a subtype D reference clade. Branches are colored, and clades are shaded according to the sequence’s isolation country, as depicted in the legend. The colored concentric ring external to the tree represents the year of the sample collection, which is also colored according to the legend.</p>
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<p>Shannon entropy (Hs) of ASP from worldwide and Brazilian HIV-1 B/C/F1 sequences. The graphs represent the Hs values for each position along the B/C/F1 ASP on alignments containing worldwide (<b>A</b>) and Brazilian sequences (<b>B</b>). Lines on the graph are colored according to the subtype (green for B, blue for C, and red for F1) and to the dataset used in the alignments (darker tones for the Full dataset and lighter tones for the PerPatient dataset). Along the graph, positions related to hypervariable regions were shaded in gray, and positions with Hs &gt; 1.4 are shaded in colors. Dashed lines indicated positions with Hs &gt; 1.4 and were not shared between the subtypes.</p>
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<p>Logos analysis for positions 1–70 of ASP from worldwide and Brazilian B/C/F sequences. Letters indicate amino acid acronyms according to the IUPAC code, and their heights correlate to the frequency of the amino acid in the respective position. Amino acids are colored according to their chemical properties (green—polar; purple—neutral; basic—blue; acid—red; hydrophobic—black), and conserved residues (variability &lt; 20%) are presented in soft tones. The hypervariable region equivalent to ENV RRE was shaded in gray.</p>
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<p>Logos analysis for positions 71–140 of ASP from worldwide and Brazilian B/C/F sequences. Letters indicate amino acid acronyms according to the IUPAC code, and their heights correlate to the frequency of the amino acid in the respective position. Amino acids are colored according to their chemical properties (green—polar; purple—neutral; basic—blue; acid—red; hydrophobic—black), and conserved residues (variability &lt; 20%) are presented in soft tones. The hypervariable region equivalent to gp120 V5 was shaded gray.</p>
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<p>Logos analysis logos for positions 141–209 of ASP from worldwide and Brazilian B/C/F sequences. Letters indicate amino acid acronyms according to the IUPAC code, and their heights correlate to the frequency of the amino acid in the respective position. Amino acids are colored according to their chemical properties (green—polar; purple—neutral; basic—blue; acid—red; hydrophobic—black), and conserved residues (variability &lt; 20%) are presented in soft tones. The hypervariable region equivalent to gp120 V5 was shaded gray.</p>
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<p>IgG and IgM responses against ASP peptides. The graphic shows IgG and IgM reactivity indexes (IR) obtained for each peptide. Labels in the x-axis contain the ID of the peptide and its sequence, with residues containing intra-set variations highlighted. Results from the positive controls, gp120 V3 and Influenza A antigens, and from the negative control are displayed in the last two sets. Results for each peptide are shown in pairs, with lighter-toned bars representing IgM IR and darker-toned bars representing IgG results. The dashed horizontal line indicates the 30% threshold.</p>
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30 pages, 10023 KiB  
Article
A Study on a Compact Double Layer Sub-GHz Reflectarray Design Suitable for Wireless Power Transfer
by Romans Kusnins, Darja Cirjulina, Janis Eidaks, Kristaps Gailis, Ruslans Babajans, Anna Litvinenko, Deniss Kolosovs and Dmitrijs Pikulins
Electronics 2024, 13(14), 2754; https://doi.org/10.3390/electronics13142754 - 13 Jul 2024
Viewed by 989
Abstract
The paper presents a novel small-footprint varactor diode-based reconfigurable reflectarray (RRA) design and investigates its power reflection efficiency theoretically and experimentally in a real-life indoor environment. The surface is designed to operate at 865.5 MHz and is intended for simultaneous use with other [...] Read more.
The paper presents a novel small-footprint varactor diode-based reconfigurable reflectarray (RRA) design and investigates its power reflection efficiency theoretically and experimentally in a real-life indoor environment. The surface is designed to operate at 865.5 MHz and is intended for simultaneous use with other wireless power transfer (WPT) efficiency-improving techniques that have been recently reported in the literature. To the best of the authors’ knowledge, no RRA intended to improve the performance of antenna-based WPT systems operating in the sub-GHz range has been designed and studied both theoretically and experimentally so far. The proposed RRA is a two-layer structure. The top layer contains electronically tunable phase shifters for the local phase control of an incoming electromagnetic wave, while the other one is fully covered by metal to reduce the phase shifter size and RRA’s backscattering. Each phase shifter is a pair of diode-loaded 8-shaped metallic patches. Extensive numerical studies are conducted to ascertain a suitable set of RRA unit cell parameters that ensure both adequate phase agility and reflection uniformity for a given varactor parameter. The RRA design parameter finding procedure followed in this paper comprises several steps. First, the phase and amplitude responses of a virtual infinite double periodic RRA are computed using full-wave solver Ansys HFSS. Once the design parameters are found for a given set of physical constraints, the phase curve of the corresponding finite array is retrieved to estimate the side lobe level due to the finiteness of the RRA aperture. Then, a diode reactance combination is found for several different RRA reflection angles, and the corresponding RRA radiation pattern is computed. The numerical results show that the side lobe level and the deviation of the peak reflected power angles from the desired ones are more sensitive to the reflection coefficient magnitude uniformity than to the phase agility. Furthermore, it is found that for scanning angles less than 50°, satisfactory reflection efficiency can be achieved by using the classical reactance profile synthesis approach employing the generalized geometrical optics (GGO) approximation, which is in accord with the findings of other studies. Additionally, for large reflection angles, an alternative synthesis approach relying on the Floquet mode amplitude optimization is utilized to verify the maximum achievable efficiency of the proposed RRA at large angles. A prototype consisting of 36 elements is fabricated and measured to verify the proposed reflectarray design experimentally. The initial diode voltage combination is found by applying the GGO-based phase profile synthesis method to the experimentally obtained phase curve. Then, the voltage combination is optimized in real time based on power measurement. Finally, the radiation pattern of the prototype is acquired using a pair of identical 4-director printed Yagi antennas with a gain of 9.17 dBi and compared with the simulated. The calculated results are consistent with the measured ones. However, some discrepancies attributed to the adverse effects of biasing lines are observed. Full article
(This article belongs to the Special Issue Wireless Power Transfer System: Latest Advances and Prospects)
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Figure 1
<p>An illustration of an RRA-enhanced WPT system in an indoor environment. PB and SN stand for a power beacon and a sensor node, respectively.</p>
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<p>Ansys model of the RA unit cell.</p>
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<p>Ansys model of the RA unit cell (top view).</p>
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<p>The reflection coefficient phase as a function of varactor reactance calculated at different separations between the upper and the lower layers of infinity periodic RRA model.</p>
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<p>The reflection coefficient magnitude as a function of varactor reactance calculated at different separations between the upper and the lower layers of infinity periodic RRA model.</p>
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<p>The Ansys HFSS model of RA composed of 36 (18 × 2) FR-4 phase shifters, each consisting of two diode-loaded metallic 8-shaped patches (tunable surface resonators).</p>
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<p>The phase curves calculated at different diode reactance and inter-layer layer separation distances for an infinite RRA model and a finite model consisting of 36 (18 × 2) phase shifters.</p>
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<p>The farfield pattern in the azimuthal plane of the RA model with 18 × 2 varactor diode-loaded 8-shaped phase shifters computed at different diode reactance values in the range from 10 to 100 Ω when the inter-layer separation is 2 cm (<b>a</b>) and 4 cm (<b>b</b>).</p>
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<p>The calculated radiation pattern (Rx power in mW) in the azimuthal plane of the RRA consisting of 36 (18 × 2) phase shifters optimized for different reflection angles with <span class="html-italic">d =</span> 2 cm (<b>a</b>) and <span class="html-italic">d =</span> 3 cm (<b>b</b>).</p>
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<p>The calculated radiation pattern (Rx power in mW) in the azimuthal plane of the RRA consisting of 18 × 2 (<b>a</b>) and 36 × 2 (<b>b</b>) phase shifters with <span class="html-italic">d =</span> 4 cm configured for different reflection angles.</p>
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<p>The normalized calculated radiation pattern (received power in mW over the phase shifter number squared in the case of plane wave excitation with the electric field intensity of 1 V/m) in the azimuthal plane of the RRA optimized using the Floquet theory-based synthesis method for a desired reflection angle of 60° (<b>a</b>) and 80° (<b>b</b>).</p>
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<p>The experimental setup composed of the RRA under study and two Yagi antennas arranged for the measurement of phase curve (<b>a</b>) and for the RRA optimization for the desired reflection angles of 30° (<b>b</b>).</p>
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<p>The measurement setup comprising a custom made two stage RF signal power amplifier, digital oscilloscope Tektronix DPO72004C, and Rode–Schwartz SMR30 RF signal generator (<b>a</b>) and the experimental Yagi antenna arrangement intended for the measurement of the reflected power pattern of a metallic sheet (<b>b</b>).</p>
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<p>The calculated (solid line) and measured (dashed line) reflection coefficient phase against the diode bias voltage of a uniformly configured RRA consisting of 36 (18 × 2) phase shifters at different distances between the substrates.</p>
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<p>The calculated (red line) and measured (dashed black line) radiation pattern (Rx power in mW) in the azimuthal plane measured for the RRA consisting of 36 (18 × 2) 8-shaped phase shifters (red line) optimized for the desired angle of 30° (<b>a</b>) and 40° (<b>b</b>) and the flat metal sheet used as the reference reflector (blue line).</p>
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<p>The calculated (red line) and measured (dashed black line) radiation pattern (Rx power in mW) in the azimuthal plane measured for the RRA consisting of 36 (18 × 2) 8-shaped phase shifters (red line) optimized for the desired for the desired angle of 45° (<b>a</b>) and 50° (<b>b</b>) and the flat metal sheet used as the reference reflector (blue line).</p>
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15 pages, 4175 KiB  
Article
Fast Low-Sidelobe Pattern Synthesis Using the Symmetry of Array Geometry
by Ming Zhang, Yongxi Liu, Haidong Zhou and Anxue Zhang
Sensors 2024, 24(13), 4059; https://doi.org/10.3390/s24134059 - 21 Jun 2024
Viewed by 970
Abstract
Array pattern synthesis with low sidelobe levels is widely used in practice. An effective way to incorporate sensor patterns in the design procedure is to use numerical optimization methods. However, the dimension of the optimization variables is very high for large-scale arrays, leading [...] Read more.
Array pattern synthesis with low sidelobe levels is widely used in practice. An effective way to incorporate sensor patterns in the design procedure is to use numerical optimization methods. However, the dimension of the optimization variables is very high for large-scale arrays, leading to high computational complexity. Fortunately, sensor arrays used in practice usually have symmetric structures that can be utilized to accelerate the optimization algorithms. This paper studies a fast pattern synthesis method by using the symmetry of array geometry. In this method, the problem of amplitude weighting is formulated as a second-order cone programming (SOCP) problem, in which the dynamic range of the weighting coefficients can also be taken into account. Then, by utilizing the symmetric property of array geometry, the dimension of the optimization problem as well as the number of constraints can be reduced significantly. As a consequence, the computational efficiency is greatly improved. Numerical experiments show that, for a uniform rectangular array (URA) with 1024 sensors, the computational efficiency is improved by a factor of 158, while for a uniform hexagonal array (UHA) with 1261 sensors, the improvement factor is 284. Full article
(This article belongs to the Collection Radar, Sonar and Navigation)
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Figure 1
<p>A planar array located on the <math display="inline"><semantics> <mrow> <mi>x</mi> <mi>y</mi> </mrow> </semantics></math>-plane.</p>
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<p>The symmetry of a URA with <math display="inline"><semantics> <msub> <mi>M</mi> <mi>x</mi> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>M</mi> <mi>y</mi> </msub> </semantics></math> being even.</p>
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<p>The symmetry of a UHA with 37 sensors.</p>
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<p>Array pattern of the <math display="inline"><semantics> <mrow> <mn>16</mn> <mo>×</mo> <mn>16</mn> </mrow> </semantics></math> URA synthesized by (15).</p>
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<p>Weighting errors of the <math display="inline"><semantics> <mrow> <mn>16</mn> <mo>×</mo> <mn>16</mn> </mrow> </semantics></math> URA synthesized by (15) and (7).</p>
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<p>Array pattern of the <math display="inline"><semantics> <mrow> <mn>32</mn> <mo>×</mo> <mn>32</mn> </mrow> </semantics></math> URA synthesized by (15).</p>
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<p>The effect of dynamic range constraints when the array is steered to (45°, 45°).</p>
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<p>The effect of dynamic range constraints when the array is steered to (45°, 45°).</p>
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<p>The pattern of <math display="inline"><semantics> <mrow> <msup> <mo form="prefix">cos</mo> <mn>4</mn> </msup> <mrow> <mo>(</mo> <mi>θ</mi> <mo>/</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> </semantics></math> with directivity <math display="inline"><semantics> <mrow> <msub> <mi>D</mi> <mo movablelimits="true" form="prefix">max</mo> </msub> <mo>=</mo> <mn>7.0</mn> </mrow> </semantics></math> dB and 3 dB beamwidth <math display="inline"><semantics> <mrow> <msub> <mi>θ</mi> <mrow> <mn>3</mn> <mi>dB</mi> </mrow> </msub> <mo>=</mo> <mn>93</mn> <mo>.</mo> <msup> <mn>9</mn> <mo>∘</mo> </msup> </mrow> </semantics></math>.</p>
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<p>Array patterns of the UHA synthesized by (15).</p>
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<p>Weighting errors of the UHA with 10 hexagons synthesized by (15) and (7).</p>
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