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Search Results (657)

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25 pages, 8019 KiB  
Article
AI-Driven Pilot Overhead Reduction in 5G mmWaveMassive MIMO Systems
by Mohammad Riad Abou Yassin, Soubhi Abou Chahine and Hamza Issa
Appl. Syst. Innov. 2025, 8(1), 24; https://doi.org/10.3390/asi8010024 - 13 Feb 2025
Abstract
The emergence of 5G technology promises remarkable advancements in wireless communication, particularly in the realm of mmWave (millimeter-wave) massive multiple input multiple output (m-MIMO) systems. However, the realization of its full potential is hindered by the challenge of pilot overhead, which compromises system [...] Read more.
The emergence of 5G technology promises remarkable advancements in wireless communication, particularly in the realm of mmWave (millimeter-wave) massive multiple input multiple output (m-MIMO) systems. However, the realization of its full potential is hindered by the challenge of pilot overhead, which compromises system efficiency. The efficient usage of pilot signals is crucial for precise channel estimation and interference reduction to maintain data integrity. Nevertheless, this requirement brings up the challenge of pilot overhead, which utilizes precious spectrum space, thus reducing spectral efficiency (SE). To address this obstacle, researchers have progressively turned to artificial intelligence (AI) and machine learning (ML) methods to design hybrid beam-forming systems that enhance SE while reducing changes to the bit error rate (BER). This study addresses the challenge of pilot overhead in hybrid beamforming for 5G mmWave m-MIMO systems by leveraging advanced artificial intelligence (AI) techniques. We propose a framework integrating k-clustering, linear regression, random forest regression, and neural networks with singular value decomposition (NN-SVD) to optimize pilot placement and hybrid beamforming strategies. The results demonstrate an 82% reduction in pilot overhead, a 250% improvement in spectral efficiency, and a tenfold enhancement in bit error rate at low SNR conditions, surpassing state-of-the-art methods. These findings validate the efficacy of the proposed system in advancing next-generation wireless networks. Full article
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<p>Hybrid beamforming transceiver architecture for an m-MIMO system.</p>
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<p>Pilot Overhead vs. SNR.</p>
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<p>Pilot placement hybrid beamforming BER vs. SNR.</p>
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<p>Pilot placement hybrid beamforming SE versus SNR.</p>
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<p>K-Clustering Pilot Overhead vs. SNR.</p>
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<p>BER vs. SNR after pilot placement optimization using K-Clustering.</p>
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<p>SE vs. SNR after pilot placement optimization using K-Clustering.</p>
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<p>Linear Regression Pilot Overhead vs. SNR.</p>
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<p>Linear Regression BER vs. SNR.</p>
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<p>Linear Regression SE vs. SNR.</p>
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<p>Random Forest Regression Pilot Overhead.</p>
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<p>Random Forest Regression BER vs. SNR.</p>
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<p>Random Forest Regression SE vs. SNR.</p>
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<p>Random Forest Regression NNSVD pilot overhead vs. SNR.</p>
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<p>Random Forest Regression NNSVD BER vs. SNR.</p>
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<p>Random Forest Regression NNSVD SE vs. SNR.</p>
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<p>Comparison of Pilot Overhead Size, BER, and SE across System.</p>
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<p>RFR-NNVSD comparison with previous works [<a href="#B7-asi-08-00024" class="html-bibr">7</a>,<a href="#B8-asi-08-00024" class="html-bibr">8</a>,<a href="#B9-asi-08-00024" class="html-bibr">9</a>].</p>
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<p>RFR-NNSVD pilot overhead vs. SNR for Tx = 64 Rx = 16.</p>
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<p>RFR-NNSVD BER vs. SNR for Tx = 64 Rx = 16.</p>
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<p>RFR-NNSVD SE vs. SNR for Tx = 64 Rx = 16.</p>
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<p>RFR-NNSVD QPSK pilot overhead vs. SNR.</p>
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<p>RFR-NNSVD QPSK BER vs. SNR.</p>
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<p>RFR-NNSVD QPSK SE vs. SNR.</p>
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12 pages, 2340 KiB  
Article
Tensor Decomposition Through Neural Architectures
by Chady Ghnatios and Francisco Chinesta
Appl. Sci. 2025, 15(4), 1949; https://doi.org/10.3390/app15041949 - 13 Feb 2025
Abstract
Machine learning (ML) technologies are currently widely used in many domains of science and technology, to discover models that transform input data into output data. The main advantages of such a procedure are the generality and simplicity of the learning process, while their [...] Read more.
Machine learning (ML) technologies are currently widely used in many domains of science and technology, to discover models that transform input data into output data. The main advantages of such a procedure are the generality and simplicity of the learning process, while their weaknesses remain the required amount of data needed to perform the training and the recurrent difficulties to explain the involved rationale. At present, a panoply of ML techniques exist, and the selection of a method or another depends, in general, on the type and amount of data being considered. This paper proposes a procedure which provides not a field or an image as an output, but its singular value decomposition (SVD), or an SVD-like decomposition, while injecting as input data scalars or the SVD decomposition of an input field. The result is a tensor-to-tensor decomposition, without the need for the full fields, or an input to an output SVD-like decomposition. The proposed method works for the non-hyper-parallepipedic domain, and for any space dimensionality. The results show the ability of the proposed architecture to link the input filed and output field, without requiring access to full space reconstruction. Full article
(This article belongs to the Special Issue Innovations in Artificial Neural Network Applications)
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<p>Transient solutions for two different parameter choices. (<b>a</b>) Solution for <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mi>p</mi> </msub> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math> J/K and <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math> W/m.K. (<b>b</b>) Solution for <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mi>p</mi> </msub> <mo>=</mo> <mn>3000</mn> </mrow> </semantics></math> J/K and <math display="inline"><semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>50</mn> </mrow> </semantics></math> W/m.K.</p>
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<p>Predicted reduced basis for a solution in the training set.</p>
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<p>Predicted reduced basis for a solution in the test set.</p>
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<p>Singular value prediction on the training and test sets.</p>
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<p>Solution of the 2D steady-state heat transfer problem for a particular choice of the conductivity distribution.</p>
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<p>Predicted reduced basis vectors for the 2D steady-state heat transfer problem, for a solution in the training set.</p>
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<p>Predicted reduced basis vectors for the 2D steady-state heat transfer problem, for a solution in the test set.</p>
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<p>Predicted singular values of the solution output <math display="inline"><semantics> <mi mathvariant="double-struck">D</mi> </semantics></math>.</p>
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<p>Exact SVD reconstruction and predicted singular values and singular vector reconstruction of the solution output. (<b>a</b>) Original sample selected from the testing set, reconstructed using the SVD reduced basis vectors. (<b>b</b>) Reconstructed fields based on the prediction of the singular values and singular vectors of the solution.</p>
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<p>Surrogate model architecture of <math display="inline"><semantics> <mi mathvariant="script">F</mi> </semantics></math>.</p>
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<p>Surrogate model architecture of <math display="inline"><semantics> <mi mathvariant="script">S</mi> </semantics></math>.</p>
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22 pages, 3664 KiB  
Article
Tensor Network Methods for Hyperparameter Optimization and Compression of Convolutional Neural Networks
by A. Naumov, A. Melnikov, M. Perelshtein, Ar. Melnikov, V. Abronin and F. Oksanichenko
Appl. Sci. 2025, 15(4), 1852; https://doi.org/10.3390/app15041852 - 11 Feb 2025
Abstract
Neural networks have become a cornerstone of computer vision applications, with tasks ranging from image classification to object detection. However, challenges such as hyperparameter optimization (HPO) and model compression remain critical for improving performance and deploying models on resource-constrained devices. In this work, [...] Read more.
Neural networks have become a cornerstone of computer vision applications, with tasks ranging from image classification to object detection. However, challenges such as hyperparameter optimization (HPO) and model compression remain critical for improving performance and deploying models on resource-constrained devices. In this work, we address these challenges using Tensor Network-based methods. For HPO, we propose and evaluate the TetraOpt algorithm against various optimization algorithms. These evaluations were conducted on subsets of the NATS-Bench dataset, including CIFAR-10, CIFAR-100, and ImageNet subsets. TetraOpt consistently demonstrated superior performance, effectively exploring the global optimization space and identifying configurations with higher accuracies. For model compression, we introduce a novel iterative method that combines CP, SVD, and Tucker tensor decompositions. Applied to ResNet-18 and ResNet-152, we evaluated our method on the CIFAR-10 and Tiny ImageNet datasets. Our method achieved compression ratios of up to 14.5× for ResNet-18 and 2.5× for ResNet-152. Additionally, the inference time for processing an image on a CPU remained largely unaffected, demonstrating the practicality of the method. Full article
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<p>General schema of neural network hyperparameter optimization problem.</p>
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<p>Tensor train (TT) and grid search (GS): expected runtime in maximum objective function evaluations vs. growth of problem dimension <span class="html-italic">d</span>.</p>
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<p>Pipeline of compressing pre-trained model using our proposed method.</p>
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<p>Maximum accuracy found at each iteration for different optimization algorithms across six experiments using NATS-Bench subsets. (<b>a</b>–<b>f</b>) corresponds to a specific dataset and training duration.</p>
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<p>Maximum accuracy against algorithm accumulated runtime for TetraOpt and other optimization algorithms across six NATS-Bench experiments. (<b>a</b>–<b>f</b>) corresponds to specific dataset and training duration.</p>
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29 pages, 15339 KiB  
Article
A Noise Reduction Algorithm for White Noise and Periodic Narrowband Interference Noise in Partial Discharge Signals
by Jiyuan Cao, Yanwen Wang, Weixiong Zhu and Yihe Zhang
Appl. Sci. 2025, 15(4), 1760; https://doi.org/10.3390/app15041760 - 9 Feb 2025
Abstract
Partial discharge (PD) detection plays an important role in online condition monitoring of electrical equipment and power cables. However, the noise of PD measurement will significantly reduce the performance of the detection algorithm. In this paper, we focus on the study of a [...] Read more.
Partial discharge (PD) detection plays an important role in online condition monitoring of electrical equipment and power cables. However, the noise of PD measurement will significantly reduce the performance of the detection algorithm. In this paper, we focus on the study of a PD noise reduction algorithm based on improved singular value decomposition (SVD) and multivariate variational mode decomposition (MVMD) for white Gaussian noise (WGN) and periodic narrowband interference signal noise. The specific noise reduction algorithm is divided into three noise reduction processes: The first noise reduction completes the suppression of narrowband interference in the noisy PD signal by the SVD algorithm with the guidance signal. The guidance signal is composed of a sinusoidal signal of the accurately estimated narrowband interference frequency component, and the amplitude is twice the maximum amplitude of the noisy PD signal. The second noise reduction decomposes the noisy PD signal after filtering the narrowband interference signal into k optimal intrinsic mode function by the MVMD after parameter optimization. By calculating the kurtosis value of each intrinsic mode function, it is determined whether it is the PD dominant component or the noise dominant component, and the noise dominant component is subjected to 3σ filtering to obtain the reconstructed PD signal. The third noise reduction uses a new wavelet threshold algorithm to denoise the reconstructed PD signal to obtain the denoised PD signal. The overall noise reduction algorithm proposed in this paper is compared with some existing methods. The results show that this method has a good effect on reducing the noise of PD signals measured in simulation and field. Full article
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<p>Simulated PD signal. (<b>a</b>) Pure PD signal; (<b>b</b>) narrowband interference; (<b>c</b>) noisy PD signal.</p>
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<p>Comparison of transformation results of different time–frequency analysis methods for noisy PD signals. (<b>a</b>) FSWT; (<b>b</b>) STFT; (<b>c</b>) CWT.</p>
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<p>MPA algorithm optimization of MVMD flow chart.</p>
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<p>AEE of different SNRs.</p>
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<p>Frequency–amplitude mean curve.</p>
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<p>Optimization results of different optimal algorithms.</p>
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<p>Comparison of three threshold functions.</p>
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<p>Noise reduction results of different threshold functions.</p>
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<p>Flow chart of the overall noise reduction method in this paper.</p>
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<p>Noise reduction results of narrowband interference. (<b>a</b>) PD mixed signal without adding narrowband interference; (<b>b</b>) signal after noise reduction from narrowband interference.</p>
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<p>IMF<span class="html-italic">n</span> of the noisy PD signal.</p>
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<p>The filtering results of the 3σ criterion.</p>
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<p>Noise reduction results of different methods in Simulated PD signals. (<b>a</b>) S_VMD; (<b>b</b>) IIE-MVMD; (<b>c</b>) SVD-EWT; (<b>d</b>) ISVD-MVMD.</p>
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<p>Spectrum analysis after noise reduction of the PD signals.</p>
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<p>Online monitoring system diagram.</p>
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<p>Field monitoring equipment. (<b>a</b>) HFCT; (<b>b</b>) industrial control computer.</p>
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<p>Field data. (<b>a</b>) Field-measured PD signal; (<b>b</b>) field-measured PD signal with narrowband interference.</p>
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<p>Noise reduction results of different methods in field-measured PD signals. (<b>a</b>) S_VMD; (<b>b</b>) IIE-MVMD; (<b>c</b>) SVD-EWT; (<b>d</b>) ISVD-MVMD.</p>
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20 pages, 4563 KiB  
Article
Singular-Value-Based Cluster Number Detection Method
by Yating Li, Jianghui Cai, Haifeng Yang, Jie Wang, Chenhui Shi, Bo Liang, Xujun Zhao and Yaling Xun
Mathematics 2025, 13(3), 527; https://doi.org/10.3390/math13030527 - 5 Feb 2025
Abstract
The cluster number can directly affect the clustering effect and its application in real-world scenarios. Its determination is one of the key issues in cluster analysis. According to singular value decomposition (SVD), the characteristic directions of larger singular values likely represent the primary [...] Read more.
The cluster number can directly affect the clustering effect and its application in real-world scenarios. Its determination is one of the key issues in cluster analysis. According to singular value decomposition (SVD), the characteristic directions of larger singular values likely represent the primary data patterns, trends, or structures corresponding to the main information. In clustering analysis, the main information and structure are likely related to the cluster structure itself. The number of larger singular values may correspond to the number of clusters, and their main information may correspond to different clusters. Based on this, a singular-value-based cluster number detection method is proposed. First, the transferred K-nearest neighbors (TKNN) density formula is proposed to address the limitation of the DPC algorithm in failing to identify centroids in sparse clusters of unbalanced datasets. Second, core data are selected by the DPC algorithm with a modified density formula to better capture the data distribution. Third, based on the selected core data, a sparse similarity matrix is constructed to further highlight the relationships between data and enhance the distribution of data features. Finally, SVD is performed on the sparse similarity matrix to obtain singular values, the cumulative contribution rate is introduced to determine the number of relatively large singular values (i.e., the cluster number). Experimental results show that our method is superior in determining the cluster number for datasets with complex shapes. Full article
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<p>An example of accurately identifying centroids of sparsely dense distribution clusters.</p>
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<p>Data distribution on different 2D datasets. Among them, (<b>a</b>–<b>f</b>) are datasets with arbitrary shapes, (<b>g</b>–<b>k</b>) are variable-density datasets, (<b>l</b>–<b>t</b>) are overlapping-cluster datasets.</p>
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<p>When the cluster number is less than or equal to 3, the variation ranges of M and KNN values correspond to the true cluster numbers across diverse datasets. These numbers are spaced at intervals of 1. Colored areas represent the attainable M and KNN ranges for the true cluster numbers, with colors having no specific meaning. (<b>a</b>) M’s range. (<b>b</b>) KNN’s range.</p>
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<p>When the cluster number is greater than 3, the variation ranges of M and KNN correspond to the true cluster numbers across diverse datasets. These numbers are spaced at intervals of 1. Colored areas represent the attainable M and KNN ranges for the true cluster number, with colors having no specific meaning. (<b>a</b>) M’s range. (<b>b</b>) KNN’s range.</p>
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<p>Cluster numbers ascertained on diverse datasets. The dashed line represents the median of the cumulative contribution rate of the correct cluster numbers under different parameter settings for each dataset. ★ indicates the true cluster number.</p>
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<p>The running times of various algorithms on diverse datasets.</p>
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16 pages, 5984 KiB  
Article
Automated Scattering Media Estimation in Peplography Using SVD and DCT
by Seungwoo Song, Hyun-Woo Kim, Myungjin Cho and Min-Chul Lee
Electronics 2025, 14(3), 545; https://doi.org/10.3390/electronics14030545 - 29 Jan 2025
Abstract
In this paper, we propose automation of estimating scattering media information in peplography using singular value decomposition (SVD) and discrete cosine transform (DCT). Conventional scattering media-removal methods reduce light scattering in images utilizing a variety of image-processing techniques and machine learning algorithms. However, [...] Read more.
In this paper, we propose automation of estimating scattering media information in peplography using singular value decomposition (SVD) and discrete cosine transform (DCT). Conventional scattering media-removal methods reduce light scattering in images utilizing a variety of image-processing techniques and machine learning algorithms. However, under conditions of heavy scattering media, they may not clearly visualize the object information. Peplography has been proposed as a solution to this problem. Peplography is capable of visualizing the object information by estimating the scattering media information and detecting the ballistic photons from heavy scattering media. Following that, 3D information can be obtained by integral imaging. However, it is difficult to apply this method to real-world situations since the process of scattering media estimation in peplography is not automated. To overcome this problem, we use automatic scattering media-estimation methods using SVD and DCT. They can estimate the scattering media information automatically by truncating the singular value matrix and Gaussian low-pass filter in the frequency domain. To evaluate our proposed method, we implement the experiment with two different conditions and compare the result image with the conventional method using metrics such as structural similarity (SSIM), feature similarity (FSIMc), gradient magnitude similarity deviation (GMSD), and learned perceptual image path similarity (LPIPS). Full article
(This article belongs to the Special Issue Computational Imaging and Its Application)
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<p>Flowchart of peplography.</p>
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<p>Flowchart of photon-counting algorithm in peplography.</p>
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<p>Concept of the camera array-based pickup method.</p>
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<p>Concept of scattering media estimation in peplography, where ∗ represents a convolution operator.</p>
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<p>Singular value decomposition (SVD).</p>
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<p>Concept of the discrete cosine transform (DCT).</p>
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<p>Flowchart of the proposed method.</p>
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<p>Experiment setup of the scattering media environment.</p>
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<p>Scattering media situations. (<b>a</b>) Reference image and (<b>b</b>) 2D single peplogram.</p>
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<p>Reconstructed 3D images. (<b>a</b>) Reference image, (<b>b</b>) single peplogram, (<b>c</b>) reconstructed 3D image by the conventional peplography, and (<b>d</b>) reconstructed 3D image by our proposed method where the depth is 474 mm.</p>
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<p>Reconstructed 3D images. (<b>a</b>) Reference image, (<b>b</b>) single peplogram, (<b>c</b>) reconstructed 3D image by the conventional peplography, and (<b>d</b>) reconstructed 3D image by our proposed method where the depth is 504 mm.</p>
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<p>Results of each IQA method.</p>
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<p>Experiment under changed conditions. (<b>a</b>) Reference image and (<b>b</b>) 2D single peplogram.</p>
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<p>Reconstructed 3D images. (<b>a</b>) Reference image, (<b>b</b>) single peplogram, (<b>c</b>) reconstructed 3D image by the conventional peplography, and (<b>d</b>) reconstructed 3D image by our proposed method, where the depth is 616 mm.</p>
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<p>Reconstructed 3D images. (<b>a</b>) Reference image, (<b>b</b>) single peplogram, (<b>c</b>) reconstructed 3D image by the conventional peplography, and (<b>d</b>) reconstructed 3D image by our proposed method, where the depth is 631 mm.</p>
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<p>Reconstructed 3D images. (<b>a</b>) Reference image, (<b>b</b>) single peplogram, (<b>c</b>) reconstructed 3D image by the conventional peplography, and (<b>d</b>) reconstructed 3D image by our proposed method, where the depth is 676 mm.</p>
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<p>Results of each IQA method.</p>
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23 pages, 12069 KiB  
Article
A Compact Stepped Frequency Continuous Waveform Through-Wall Radar System Based on Dual-Channel Software-Defined Radio
by Xinhui Li, Shengbo Ye, Zihao Wang, Yubing Yuan, Xiaojun Liu, Guangyou Fang and Deyun Ma
Electronics 2025, 14(3), 527; https://doi.org/10.3390/electronics14030527 - 28 Jan 2025
Abstract
Software-defined radio (SDR) has high flexibility and low cost. It conforms to the miniaturization, lightweight, and digitization trends in through-wall radar systems. Stepped frequency continuous waveform (SFCW) is commonly used in through-wall radar, which has high resolution and strong anti-interference ability. This article [...] Read more.
Software-defined radio (SDR) has high flexibility and low cost. It conforms to the miniaturization, lightweight, and digitization trends in through-wall radar systems. Stepped frequency continuous waveform (SFCW) is commonly used in through-wall radar, which has high resolution and strong anti-interference ability. This article develops an SFCW through-wall radar system based on a dual-channel SDR platform. Without changing hardware structure and complicated accessories, a phase compensation method of solving the phase incoherence problem in a low-cost dual-channel SDR platform is proposed. In addition, this article proposes a wall clutter mitigation approach by means of singular value decomposition (SVD) and principal component analysis (PCA) framework for through-wall applications. This approach can process the wall clutter and noise efficiently, and then extract the target subspace to obtain location information. The experimental results indicate that the proposed windowing-based SVD-PCA approach is effective for the developed radar system, which can ensure the accuracy of through-wall detection. It is also superior to the traditional methods in terms of the image quality of range profiles or signal-to-noise ratio (SNR). Full article
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<p>The structure of the SDR-based through-wall radar system. And the general hardware structure of low-cost SDR this article used.</p>
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<p>System configuration and the phase compensation procedure.</p>
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<p>Preprocess for the received signal. A before-and-after comparison of windowing smoothing for distortion.</p>
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<p>The phase incoherence problem: (<b>a</b>) The received signals at different LO frequencies for channel 1; (<b>b</b>) Relative time delays of the remaining 126 step frequency points with reference to the first step frequency point for channel 1; (<b>c</b>) Phase offsets of two channels in the same A-scan and the phase offset between channel 1 and channel 2.</p>
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<p>The process of SFCW pulse compression.</p>
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<p>Time domain results of the loopback experimental measurement: (<b>a</b>) 15 cm cable for reference channel; (<b>b</b>) 4 m cable for measurement channel; (<b>c</b>) The length difference between measurement channel and reference channel after phase compensation.</p>
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<p>Time domain results of the metal plate position estimation experiments: (<b>a</b>) Metal plate was placed 2.65 m away from antennas; (<b>b</b>) Metal plate was placed 0.84 m away from antennas.</p>
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<p>The workflow of the windowing-based SVD-PCA approach.</p>
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<p>The scene of wall-penetrating experiment.</p>
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<p>Wall-penetrating reflection results in time domain.</p>
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<p>The scene of static human target detection experiments.</p>
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<p>The scene of sitting human target detection experiment.</p>
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<p>One-dimensional range profiles of through-wall sitting human target detection: (<b>a</b>) One-dimensional range profiles using no method, BS method, MS method, and SVD method, respectively; (<b>b</b>) Comparison of normalization results between SVD method, PCA method, and SVD-PCA method.</p>
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<p>Two-dimensional range profiles of through-wall sitting human target detection: (<b>a</b>) Unprocessed result; (<b>b</b>) The result of BS method; (<b>c</b>) The result of MS method; (<b>d</b>) The result of SVD method; (<b>e</b>) The result of PCA method; (<b>f</b>) The result of SVD-PCA method.</p>
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<p>The scene of a standing human target detection experiment.</p>
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<p>One-dimensional range profiles of through-wall standing human target detection: (<b>a</b>) One-dimensional range profiles using no method, BS method, MS method and SVD method, respectively; (<b>b</b>) Comparison of normalization results between SVD method, PCA method and SVD-PCA method.</p>
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<p>Two-dimensional range profiles of through-wall standing human target detection: (<b>a</b>) Unprocessed result; (<b>b</b>) The result of BS method; (<b>c</b>) The result of MS method; (<b>d</b>) The result of SVD method; (<b>e</b>) The result of PCA method; (<b>f</b>) The result of SVD-PCA method.</p>
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<p>Three-dimensional graphics of SVD-PCA method in two scenarios: (<b>a</b>) The result of experiment on detecting the sitting state of human target; (<b>b</b>) The result of experiment on detecting standing state of human target.</p>
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23 pages, 4363 KiB  
Review
The Role of the Claustrum in Parkinson’s Disease and Vascular Parkinsonism: A Matter of Network?
by Marialuisa Zedde, Rocco Quatrale, Gianni Cossu, Massimo Del Sette and Rosario Pascarella
Life 2025, 15(2), 180; https://doi.org/10.3390/life15020180 - 26 Jan 2025
Abstract
Background: The mechanisms underlying extrapyramidal disorders and their anatomical substrate have been extensively investigated. Recently, the role of the claustrum in Parkinson’s disease and other neurodegenerative conditions has been better detailed. The main aim of this review was to summarize the supporting evidence [...] Read more.
Background: The mechanisms underlying extrapyramidal disorders and their anatomical substrate have been extensively investigated. Recently, the role of the claustrum in Parkinson’s disease and other neurodegenerative conditions has been better detailed. The main aim of this review was to summarize the supporting evidence for the role of the claustrum in degenerative and vascular parkinsonism. Methods: The anatomy, biology, vascular supply, and connections of the claustrum in humans were identified and described, providing the substrate for the vascular involvement of the claustrum in large- and small-vessel disease. The vascular supply of the claustrum includes up to three different sources from a single artery, the middle cerebral artery, and it is known as territory with an intermediate hemodynamic risk. The connections of the claustrum make it a sensory integrator and a relevant point in several networks, from consciousness to movement planning. Conclusions: The claustrum is still an incompletely explained structure. However, recent description of its multiple connections indicate that it is involved in several diseases, including Parkinson’s disease. The evidence underlying its potential role in vascular parkinsonism is still scarce, but it might be a field warranting future investigations. Full article
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<p>Brain magnetic resonance imaging (MRI) showing the localization and neighbor structures of the human claustrum. Panel (<b>a</b>,<b>b</b>) show axial and coronal T1W MRI, respectively, at the level of the insula in a normal subject. Panel (<b>c</b>) shows a detail of the right hemisphere in the coronal plane and a further magnification of the brain structures behind the claustrum (right portion of the panel).</p>
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<p>Schematic drawing of the basal ganglia and claustrum in axial view.</p>
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<p>Schematic drawing of the arterial supply of the claustrum in coronal view with the same color code as in <a href="#life-15-00180-f002" class="html-fig">Figure 2</a>.</p>
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<p>Schematic drawing of claustrum connections (cortical connections in blue and subcortical connections in light blue).</p>
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<p>Brain MRI of a patient with an acute onset of a gait disorder and left hemisensory syndrome. The brain MRI was performed 2 months after symptom onset and the neurological examination found lower body parkinsonism. Panel (<b>a</b>) shows the axial fluid attenuated inversion recovery (FLAIR) sequence, panel (<b>b</b>) shows an axial T1W sequence, and panel (<b>c</b>) shows an axial susceptibility weighted sequence. A right (FLAIR hyperintense and T1W hypointense) hemorrhage occurred involving the lateral aspect of the putamen and the claustrum.</p>
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<p>Brain MRI of a patient with extensive SVD and mild lower body parkinsonism with memory complaints. Panels (<b>a</b>–<b>d</b>) show FLAIR (coronal in (<b>a</b>,<b>b</b>), axial in (<b>c</b>,<b>d</b>)) sequences with extensive white matter hyperintensities extending along the external capsule on both sides and in the extreme capsula on the right side. Panels (<b>e</b>,<b>f</b>) show the corresponding axial and coronal T1W sequences with a hypointense and easily identifiable claustrum on both sides.</p>
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27 pages, 3686 KiB  
Article
Deep Autoencoder Framework for Classifying Damage Mechanisms in Repaired CFRP
by Claudia Barile, Caterina Casavola, Dany Katamba Mpoyi and Giovanni Pappalettera
Appl. Sci. 2025, 15(3), 1209; https://doi.org/10.3390/app15031209 - 24 Jan 2025
Viewed by 335
Abstract
This study investigates the classification of damage modes in adhesively bonded carbon fiber-reinforced plastic (CFRP) composites, a critical factor in advancing lightweight automotive design. Adhesive bonding, replacing traditional riveting, improves structural integrity while reducing weight and CO2 emissions. Mechanical testing on CFRP [...] Read more.
This study investigates the classification of damage modes in adhesively bonded carbon fiber-reinforced plastic (CFRP) composites, a critical factor in advancing lightweight automotive design. Adhesive bonding, replacing traditional riveting, improves structural integrity while reducing weight and CO2 emissions. Mechanical testing on CFRP composites was performed, and acoustic emission (AE) signals were collected to evaluate damage mechanisms. A deep autoencoder (DAE) framework was developed to automate damage characterization by reducing AE signal dimensionality through singular value decomposition (SVD) and classifying features using the k-means algorithm. This approach effectively identified three primary damage modes: matrix cracking, interfacial debonding, and fiber breakage. Traditional AE features, such as entropy and amplitude were also classified and validated using spectral analysis. The DAE-based strategy demonstrated superior capability in real-time damage mode differentiation. Fractographic analysis confirmed crack growth in the adhesive layer, leading to interfacial debonding, fiber-matrix separation, and eventual fiber rupture. These findings highlight the DAE framework’s effectiveness in enhancing damage mode characterization, offering valuable insights for optimizing the structural performance of bonded CFRP composites in automotive applications. Full article
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<p>(<b>a</b>) Nominal dimensions of the specimens and (<b>b</b>) side and top views of the specimen.</p>
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<p>Testing rig with acoustic emission sensors mounted on the specimen.</p>
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<p>An overview of the damage mode characterization framework based on deep autoencoder, k-means clustering.</p>
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<p>Schematic of deep autoencoder model architecture.</p>
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<p>(<b>a</b>) Mechanical properties of JLS1 specimen, (<b>b</b>) Mechanical properties of JLS2 specimen, (<b>c</b>) Mechanical properties of JLS3 specimen.</p>
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<p>Original and reconstructed signal based on deep autoencoder for (<b>a</b>) JLS 1; (<b>b</b>) JLS 2; and (<b>c</b>) JLS3.</p>
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<p>Effect of cross-validation folds (K) on RMSE values for different specimen types.</p>
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<p>Selection of dominant features from the bottleneck layer by SVD: (<b>a</b>) JLS1; (<b>b</b>) JLS 2; and (<b>c</b>) JLS3.</p>
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<p>Silhouette values of clusters for latent features of (<b>a</b>) JSL1; (<b>b</b>) JLS 2; and (<b>c</b>) JLS3.</p>
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<p>Latent features clustered by the k-means algorithm for (<b>a</b>) JLS 1, (<b>b</b>) 2, and (<b>c</b>) 3.</p>
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<p>Typical AE frequency domain waveforms from JLS 1: Cluster 1; Cluster 2; and Cluster 3 based on latent feature.</p>
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<p>Typical AE frequency domain waveforms from JLS 2: Cluster 1; Cluster 2; and Cluster 3 based on latent feature.</p>
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<p>Typical AE frequency domain waveforms form JLS 3: Cluster 1; Cluster 2; and Cluster 3 based on latent features.</p>
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<p>Silhouette values of AE features of (<b>a</b>) JSL1; (<b>b</b>) JLS 2; and (<b>c</b>) JLS3.</p>
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<p>Cluster assignments between amplitude and entropy for specimens: JLS1; JLS2; and JLS3.</p>
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<p>Typical AE frequency domain waveforms from JLS 1: (<b>a</b>) Cluster 1; (<b>b</b>) Cluster 2; and (<b>c</b>) Cluster 3.</p>
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<p>Typical AE frequency domain waveforms from JLS 2: (<b>a</b>) Cluster 1; (<b>b</b>) Cluster 2; and (<b>c</b>) Cluster 3.</p>
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<p>Typical AE frequency domain waveforms from JLS 3: (<b>a</b>) Cluster 1; (<b>b</b>) Cluster 2; and (<b>c</b>) Cluster 3.</p>
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<p>Fractographic analysis of CFRP bonded in JLS (<b>a</b>) peeling at the knee of adhesive; (<b>b</b>) delamination along the boundary of the adhesive layer interface; (<b>c</b>) fiber breakage; (<b>d</b>) fiber/matrix debonding.</p>
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19 pages, 4069 KiB  
Article
Performance of Ground-Based Solar-Induced Chlorophyll Fluorescence Retrieval Algorithms at the Water Vapor Absorption Band
by Yongqi Zhang, Xinjie Liu, Shanshan Du, Mengjia Qi, Xia Jing and Liangyun Liu
Sensors 2025, 25(3), 689; https://doi.org/10.3390/s25030689 - 24 Jan 2025
Viewed by 231
Abstract
Solar-induced chlorophyll fluorescence (SIF) is essential for monitoring vegetation photosynthesis. The water vapor absorption band, the broadest absorption window, has a deeper absorption line than the O2-B band, providing significant potential for SIF retrieval; however, substantial variation in atmospheric water vapor [...] Read more.
Solar-induced chlorophyll fluorescence (SIF) is essential for monitoring vegetation photosynthesis. The water vapor absorption band, the broadest absorption window, has a deeper absorption line than the O2-B band, providing significant potential for SIF retrieval; however, substantial variation in atmospheric water vapor column concentrations limits research on SIF retrieval using this band. This study evaluates seven common SIF retrieval algorithms, including sFLD, 3FLD, iFLD, pFLD, SFM, SVD, and DOAS, using simulated datasets under varying atmospheric water vapor concentrations, spectral resolution (SR), and signal-to-noise ratios (SNRs). Additionally, the SIF retrieval results from the H2O, O2-B, and O2-A absorption bands are compared and analyzed to explore the fluorescence retrieval potential of the water vapor band. Furthermore, the potential of commonly used spectrometers, including Ocean Optics QE Pro and ASD FieldSpec 3, for SIF retrieval using the water vapor absorption band was evaluated. The results were further validated using ground-based tower observations. The results show that sFLD consistently overestimates SIF in the water vapor band, limiting its reliability, while SFM performs best across varying conditions. In comparison, 3FLD and pFLD, along with SVD, are accurate at high resolutions but less effective at lower ones. iFLD performs relatively poorly overall, whereas DOAS excels in low SR retrievals. At the same time, our study also shows that the water vapor band offers higher accuracy in ground-based SIF retrieval compared to the O2-B band, demonstrating strong application potential and providing valuable references for selecting SIF retrieval algorithms. Full article
(This article belongs to the Section Sensing and Imaging)
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Graphical abstract

Graphical abstract
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<p>Irradiance with SRs of 0.1 nm and 0.3 nm (with spectral sampling intervals of 0.05 nm and 0.15 nm, respectively), simulated chlorophyll fluorescence (Fs), and reflectance spectra. (The dashed box indicates the range of each absorption band).</p>
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<p>ChinaSpec Daman Oasis Farmland Station (Observation height: 25 m; underlying surface: maize fields). (<b>a</b>) Aerial view of the DM Observation Station; (<b>b</b>) Observation equipment on the tower.</p>
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<p>Comparison of retrieved SIF values across the seven algorithms at varying SRs, with the water vapor concentration held at a midlevel value of 3.0 g/cm<sup>2</sup> and no added noise. The color gradient reflects different resolution levels, while “discontinuity” symbols denote omitted intermediate values because of excessively high numerical errors.</p>
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<p>RRMSE values of SIF retrieved by the seven algorithms in the 719 nm water vapor band under different SNR conditions. The SRs used to generate these data are 0.3 nm (<b>a</b>), 0.5 nm (<b>b</b>), 1.0 nm (<b>c</b>), and 3.0 nm (<b>d</b>), with a constant water vapor column concentration of 3 g/cm<sup>2</sup>.</p>
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<p>Simulated downwelling irradiance in the water vapor band (716–730 nm) at varying water vapor column concentrations, with the SR set to 0.3 nm, excluding other atmospheric parameters.</p>
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<p>SIF retrieval across water vapor concentrations (1.0 g/cm<sup>2</sup> to 5.0 g/cm<sup>2</sup>) with an SR of 0.3 nm in the absence of Gaussian noise, with scatter point colors representing water vapor concentrations from low (1.0 g/cm<sup>2</sup>) to high (5.0 g/cm<sup>2</sup>) in increasing intensity (Where (<b>a</b>–<b>g</b>) represents the results of the seven different retrieval algorithms).</p>
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<p>RRMSE values of retrieved SIF from the seven algorithms under varying water vapor column concentrations, utilizing different SRs in the absence of Gaussian random noise.</p>
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<p>R<sup>2</sup> and RMSE calculations comparing SIF retrieved from the water vapor band using ground observation data from the DM station in 2021 with SIF obtained from 3FLD in the O<sub>2</sub>-A band. The color bar on the right of the density plot represents the range of density values, with scatter points colored from blue to yellow, indicating increasing density from low to high.</p>
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<p>Solar-induced chlorophyll fluorescence (SIF) was retrieved from the water vapor band using seven algorithms, based on observations from the DM station in China. (<b>a</b>) Results for 7 July 2021 (sunny), and (<b>b</b>) results for 11 July 2021 (cloudy). The SIF data are transformed through ratio calculations and compared with the normalized SIF obtained from the 3FLD algorithm in the O<sub>2</sub>-A band, using 30-min averaged SIF data.</p>
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<p>Comparison of the daily mean SIF variation derived using seven algorithms in the water vapor band from spectral data collected at the DM station in China during the entire maize phenological stage from June to September 2021, with the results of the 3FLD algorithm in the O<sub>2</sub>-A band. To facilitate differentiation, the results of the 3FLD algorithm in the O<sub>2</sub>-A band are color-coded in yellow. Similarly, using the 3FLD retrieval values in the O<sub>2</sub>-A band as reference values, the results show that, overall, the retrieval values of all algorithms in the water vapor band exhibit good consistency with the 3FLD retrieval values in the O<sub>2</sub>-A band throughout the entire phenological stage. Both show the overall trend of SIF values increasing first and then decreasing with the increase in DOY, reaching the highest point in late July. This indicates that, although different retrieval algorithms have different processing methods and assumptions, they show certain similarities in capturing the temporal dynamics of the crop growth cycle. At the same time, the consistency between the SIF retrieval results in the water vapor band and the O<sub>2</sub>-A band also suggests that this band plays a crucial role in capturing the dynamic changes in plant growth and photosynthesis, particularly during different phenological stages of crop growth.</p>
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18 pages, 299 KiB  
Article
Improving the Accuracy of the Pencil of Function Method Increasing Its Matrix Polynomial Degree
by Raul H. Barroso and Alfonso J. Zozaya Sahad
Mathematics 2025, 13(2), 315; https://doi.org/10.3390/math13020315 - 19 Jan 2025
Viewed by 336
Abstract
The estimation of complex natural frequencies in linear systems through their transient response analysis is a common practice in engineering and applied physics. In this context, the conventional Generalized Pencil of Function (GPOF) method that employs a matrix pencil of degree one, utilizing [...] Read more.
The estimation of complex natural frequencies in linear systems through their transient response analysis is a common practice in engineering and applied physics. In this context, the conventional Generalized Pencil of Function (GPOF) method that employs a matrix pencil of degree one, utilizing singular value decomposition (SVD) filtering, has emerged as a prominent strategy to carry out a complex natural frequency estimation. However, some modern engineering applications increasingly demand higher accuracy estimation. In this context, some intrinsic properties of Hankel matrices and exponential functions are utilized in this paper in order to develop a modified GPOF method which employs a matrix pencil of degree greater than one. Under conditions of low noise in the transient response, our method significantly enhances accuracy compared to the conventional GPOF approach. This improvement is especially valuable for applications involving closely spaced complex natural frequencies, where a precise estimation is crucial. Full article
(This article belongs to the Section E: Applied Mathematics)
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<p>True and candidate complex natural frequency locations in the complex plane for a noisy single-pole signal.</p>
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<p>Flowchart of the proposed nonlinear GPOF algorithm.</p>
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<p>Errors <math display="inline"><semantics> <mrow> <mo>Δ</mo> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>,</mo> <mo>Δ</mo> <msub> <mi>s</mi> <mn>2</mn> </msub> <mo>,</mo> <mo>…</mo> <mo>,</mo> <mo>Δ</mo> <msub> <mi>s</mi> <mn>8</mn> </msub> </mrow> </semantics></math> obtained from the proposed method (for <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Ω</mi> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>) and the conventional GPOF method, plotted in the complex plane for an SNR of 150 dB.</p>
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<p>Normalized mean square error (MSE) in dB for the estimate of <math display="inline"><semantics> <msub> <mover accent="true"> <mi>σ</mi> <mo stretchy="false">^</mo> </mover> <mn>1</mn> </msub> </semantics></math> obtained from the proposed method (for <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Ω</mi> <mo>=</mo> <mn>20</mn> </mrow> </semantics></math>) and the conventional GPOF method, as functions of SNR.</p>
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<p>Normalized mean square error (MSE) in dB for the estimate of <math display="inline"><semantics> <msub> <mover accent="true"> <mi>ω</mi> <mo stretchy="false">^</mo> </mover> <mn>1</mn> </msub> </semantics></math> obtained from the proposed method (for <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Ω</mi> <mo>=</mo> <mn>20</mn> </mrow> </semantics></math>) and the conventional GPOF method, as functions of SNR.</p>
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<p>Inverse values in dB of the estimated <math display="inline"><semantics> <mover accent="true"> <mrow> <mi>IAR</mi> </mrow> <mo stretchy="false">^</mo> </mover> </semantics></math> from Equation (<a href="#FD54-mathematics-13-00315" class="html-disp-formula">54</a>) and the analytical prediction for IAR from Equation (<a href="#FD48-mathematics-13-00315" class="html-disp-formula">48</a>), both as functions of the pencil degree <math display="inline"><semantics> <mi mathvariant="sans-serif">Ω</mi> </semantics></math>.</p>
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<p>Estimates of <math display="inline"><semantics> <msub> <mover accent="true"> <mi>s</mi> <mo stretchy="false">^</mo> </mover> <mi>n</mi> </msub> </semantics></math> from both methods in the complex plane for the signal <math display="inline"><semantics> <mrow> <mi>y</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </semantics></math>.</p>
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32 pages, 11857 KiB  
Article
A Hybrid Dynamic Principal Component Analysis Feature Extraction Method to Identify Piston Pin Wear for Binary Classifier Modeling
by Hao Yang, Yubin Zhai, Mengkun Zheng, Tan Wang, Dongliang Guo, Jianhui Liang, Xincheng Li, Xianliang Liu, Mingtao Jia and Rui Zhang
Machines 2025, 13(1), 68; https://doi.org/10.3390/machines13010068 - 18 Jan 2025
Viewed by 279
Abstract
The wear condition of a piston pin is a main factor in determining the operational continuity and life cycle of a diesel engine; identifying its vibration feature is of paramount importance in carrying out necessary maintenance in the early wear stage. As the [...] Read more.
The wear condition of a piston pin is a main factor in determining the operational continuity and life cycle of a diesel engine; identifying its vibration feature is of paramount importance in carrying out necessary maintenance in the early wear stage. As the dynamic vibration features are susceptible to environmental disturbance during operation, an effective signal processing method is necessary to improve the accuracy and fineness of the extracted features, which is essential to build a reliable and precise binary classifier model to identify piston pin wear based on the features. Aiming at the feature extraction requirements of anti-noise, accuracy and effectiveness, this paper proposes a piston pin wear feature extraction algorithm based on dynamic principal component analysis (DPCA) combined with variational mode decomposition (VMD) and singular value decomposition (SVD). An orthogonal sensor layout is applied to collect the vibration signal under normal and worn piston pin conditions, which proved effective in reducing environmental vibration disturbance. DPCA is utilized to extract dynamical vibration features by introducing time lag. Then, the dynamic principal component matrix is further decomposed by VMD to obtain intrinsic mode functions (IMFs) as finer features and is finally decomposed by SVD to compress the features, thus improving the classification efficiency based on the features. To validate the significance of the features extracted by the proposed method, a support vector machine (SVM) is employed to model binary classifiers to evaluate the classification performance trained by different features. A modeling dataset containing 80 samples (40 normal samples and 40 worn samples) is employed, and five-round cross-validation is adopted. For each round, two binary classifier models are trained by features extracted by the proposed method and the empirical mode decomposition (EMD)–auto regressive (AR) spectrum method, fast Fourier transform (FFT) and continuous wavelet transform (CWT), respectively; the classification precision, recall ratio, accuracy and F1 ratio are obtained on the testing set by contrasting the overall performances of the five-round cross-validation, and the proposed method is proved to be more effective in noise reduction and significant feature extraction, which is able to improve the accuracy and efficiency of binary classification for piston pin wear identification. Full article
(This article belongs to the Section Machines Testing and Maintenance)
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<p>The effect of different feature spaces on classification.</p>
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<p>The overall research and validation steps of this study.</p>
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<p>Acquisition experiment diagram. (<b>a</b>) Dual sensor layout diagram. (<b>b</b>) Sensor acquisition device. (<b>c</b>) Field acquisition map. (<b>d</b>) Experimental piston pin device.</p>
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<p>Feature extraction process of the proposed method.</p>
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<p>Raw vibration signal. (<b>a</b>) Normal piston pin; (<b>b</b>) worn piston pin.</p>
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<p>Orthogonal results. (<b>a</b>) Normal piston pin. (<b>b</b>) Worn piston pin. (<b>c</b>) Orthogonal result.</p>
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<p>The average cumulative variance proportion of each dynamic principal component. (<b>a</b>) Normal piston pin; (<b>b</b>) worn piston pin.</p>
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<p>Heatmap of squared residual sum of different principal components’ number.</p>
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<p>The process flow to determine <span class="html-italic">K</span> and <math display="inline"><semantics> <mrow> <mi>α</mi> </mrow> </semantics></math> for VMD.</p>
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<p>IMF reconstruction envelope spectrum of normal signal.</p>
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<p>IMF reconstruction envelope spectrum of the orthogonal signal.</p>
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<p>Overall SFE heat map under different <math display="inline"><semantics> <mrow> <mi>α</mi> </mrow> </semantics></math> values.</p>
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<p>VMD decomposition performance under K = 5 and α = 400. (<b>a</b>) IMF spectrogram; (<b>b</b>) IMF waveform in time domain.</p>
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<p>VMD decomposition results on all the 21 columns of DPCA load matrix. (<b>a</b>) results of column 1; (<b>b</b>) results of column 2; (<b>c</b>) results of column 3; (<b>d</b>) results of column 4; (<b>e</b>) results of column 5; (<b>f</b>) results of column 6; (<b>g</b>) results of column 7; (<b>h</b>) results of column 8; (<b>i</b>) results of column 9; (<b>j</b>) results of column 10; (<b>k</b>) results of column 11; (<b>l</b>) results of column 12; (<b>m</b>) results of column 13; (<b>n</b>) results of column 14; (<b>o</b>) results of column 15; (<b>p</b>) results of column 16; (<b>q</b>) results of column 17; (<b>r</b>) results of column 18; (<b>s</b>) results of column 19; (<b>t</b>) results of column 20; (<b>u</b>) results of column 21.</p>
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<p>VMD decomposition results on all the 21 columns of DPCA load matrix. (<b>a</b>) results of column 1; (<b>b</b>) results of column 2; (<b>c</b>) results of column 3; (<b>d</b>) results of column 4; (<b>e</b>) results of column 5; (<b>f</b>) results of column 6; (<b>g</b>) results of column 7; (<b>h</b>) results of column 8; (<b>i</b>) results of column 9; (<b>j</b>) results of column 10; (<b>k</b>) results of column 11; (<b>l</b>) results of column 12; (<b>m</b>) results of column 13; (<b>n</b>) results of column 14; (<b>o</b>) results of column 15; (<b>p</b>) results of column 16; (<b>q</b>) results of column 17; (<b>r</b>) results of column 18; (<b>s</b>) results of column 19; (<b>t</b>) results of column 20; (<b>u</b>) results of column 21.</p>
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<p>VMD decomposition results on all the 21 columns of DPCA load matrix. (<b>a</b>) results of column 1; (<b>b</b>) results of column 2; (<b>c</b>) results of column 3; (<b>d</b>) results of column 4; (<b>e</b>) results of column 5; (<b>f</b>) results of column 6; (<b>g</b>) results of column 7; (<b>h</b>) results of column 8; (<b>i</b>) results of column 9; (<b>j</b>) results of column 10; (<b>k</b>) results of column 11; (<b>l</b>) results of column 12; (<b>m</b>) results of column 13; (<b>n</b>) results of column 14; (<b>o</b>) results of column 15; (<b>p</b>) results of column 16; (<b>q</b>) results of column 17; (<b>r</b>) results of column 18; (<b>s</b>) results of column 19; (<b>t</b>) results of column 20; (<b>u</b>) results of column 21.</p>
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<p>Rod diagram. (<b>a</b>) Normal piston; (<b>b</b>) worn piston pin.</p>
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<p>AR spectrum. (<b>a</b>) IMF component spectrum; (<b>b</b>) IMF superposition spectrum.</p>
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<p>Raw modeling data set dividing process for five-round validation.</p>
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<p>Comparison of feature classification performance based on SVM modeling. (<b>a</b>) Validation round 1, feature-extracted method: DPCA-VMD-SVD; (<b>b</b>) validation round 1, feature-extracted method: EMD-AR spectrum; (<b>c</b>) validation round 2, feature-extracted method: DPCA-VMD-SVD; (<b>d</b>) validation round 2, feature-extracted method: EMD-AR spectrum; (<b>e</b>) validation round 3, feature-extracted method: DPCA-VMD-SVD; (<b>f</b>) validation round 3, feature-extracted method: EMD-AR spectrum; (<b>g</b>) validation round 4, feature-extracted method: DPCA-VMD-SVD; (<b>h</b>) validation round 4, feature-extracted method: EMD-AR spectrum; (<b>i</b>) validation round 5, feature-extracted method: DPCA-VMD-SVD; (<b>j</b>) validation round 5, feature-extracted method: EMD-AR spectrum.</p>
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<p>Comparison of feature classification performance based on SVM modeling. (<b>a</b>) Validation round 1, feature-extracted method: DPCA-VMD-SVD; (<b>b</b>) validation round 1, feature-extracted method: EMD-AR spectrum; (<b>c</b>) validation round 2, feature-extracted method: DPCA-VMD-SVD; (<b>d</b>) validation round 2, feature-extracted method: EMD-AR spectrum; (<b>e</b>) validation round 3, feature-extracted method: DPCA-VMD-SVD; (<b>f</b>) validation round 3, feature-extracted method: EMD-AR spectrum; (<b>g</b>) validation round 4, feature-extracted method: DPCA-VMD-SVD; (<b>h</b>) validation round 4, feature-extracted method: EMD-AR spectrum; (<b>i</b>) validation round 5, feature-extracted method: DPCA-VMD-SVD; (<b>j</b>) validation round 5, feature-extracted method: EMD-AR spectrum.</p>
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24 pages, 6729 KiB  
Article
A State Estimation of Dynamic Parameters of Electric Drive Articulated Vehicles Based on the Forgetting Factor of Unscented Kalman Filter with Singular Value Decomposition
by Tianlong Lei, Mingming Hou, Liaoyuan Li and Haohua Cao
Actuators 2025, 14(1), 31; https://doi.org/10.3390/act14010031 - 15 Jan 2025
Viewed by 296
Abstract
In this paper, a state estimation method of distributed electric drive articulated vehicle dynamics parameters based on the forgetting factor unscented Kalman filter with singular value decomposition (SVD-UKF) is proposed. The 7DOF nonlinear dynamics model of a distributed electric drive articulated vehicle is [...] Read more.
In this paper, a state estimation method of distributed electric drive articulated vehicle dynamics parameters based on the forgetting factor unscented Kalman filter with singular value decomposition (SVD-UKF) is proposed. The 7DOF nonlinear dynamics model of a distributed electric drive articulated vehicle is established. The unscented Kalman filter algorithm is the foundation, with singular value decomposition replacing the Cholesky decomposition. A forgetting factor is introduced to dynamically adapt the observation noise covariance matrix in real time, resulting in a centralized parameter state estimator for the articulated vehicle. The proposed parameter state estimation method based on the forgetting factor SVD-UKF is simulated and compared with the unscented Kalman filter (UKF) estimation method. Key dynamic parameters are estimated, such as the lateral and longitudinal velocities and accelerations, angular velocity, articulated angle, wheel speeds, and longitudinal and lateral tire forces of both the front and rear vehicle bodies. The results show that the proposed forgetting factor SVD-UKF method outperforms the traditional UKF method. Furthermore, a prototype vehicle test is conducted to compare the estimated values of various dynamic parameters with the actual values, demonstrating minimal errors. This verifies the effectiveness of the proposed dynamic parameter estimation method for articulated vehicles. Full article
(This article belongs to the Section Actuators for Surface Vehicles)
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<p>Articulated vehicle dynamics model.</p>
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<p>Articulated vehicle vertical load analysis.</p>
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<p>The SVD-UKF estimation flowchart.</p>
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<p>Target velocity and articulated angle. (<b>a</b>) Longitudinal and velocity of front of vehicle; (<b>b</b>) articulated angle.</p>
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<p>Simulation system flow chart.</p>
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<p>Longitudinal and lateral velocity estimation results. (<b>a</b>) Longitudinal velocity of front vehicle body, (<b>b</b>) longitudinal velocity of rear vehicle body, (<b>c</b>) lateral velocity of front vehicle body, and (<b>d</b>) lateral velocity of rear vehicle body.</p>
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<p>Longitudinal and lateral acceleration estimation results. (<b>a</b>) Longitudinal acceleration of front vehicle body, (<b>b</b>) longitudinal acceleration of rear vehicle body, (<b>c</b>) lateral acceleration of front vehicle body, and (<b>d</b>) lateral acceleration of rear vehicle body.</p>
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<p>Angular velocity and articulated angle estimation results. (<b>a</b>) Angular velocity of front vehicle body, (<b>b</b>) angular velocity of rear vehicle body, and (<b>c</b>) articulated angle.</p>
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<p>Wheel speed estimation results: (<b>a</b>) tire 1 speed, (<b>b</b>) tire 2 speed, (<b>c</b>) tire 3 speed, and (<b>d</b>) tire 4 speed.</p>
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<p>Wheel speed estimation results: (<b>a</b>) tire 1 speed, (<b>b</b>) tire 2 speed, (<b>c</b>) tire 3 speed, and (<b>d</b>) tire 4 speed.</p>
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<p>Tire longitudinal force estimation results: (<b>a</b>) tire 1 longitudinal force, (<b>b</b>) tire 2 longitudinal force, (<b>c</b>) tire 3 longitudinal force, and (<b>d</b>) tire 4 longitudinal force.</p>
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<p>Tire lateral force estimation results: (<b>a</b>) tire 1 lateral force, (<b>b</b>) tire 2 lateral force, (<b>c</b>) tire 3 lateral force, and (<b>d</b>) tire 4 lateral force.</p>
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<p>Distributed electric drive principle prototype vehicle (1—vehicle frame; 2—control system; 3—steering system; 4—drive system).</p>
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<p>Flowchart of state estimation method validation.</p>
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<p>Longitudinal and lateral velocity estimation results. (<b>a</b>) Longitudinal velocity of front vehicle body; (<b>b</b>) lateral velocity of front vehicle body.</p>
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<p>Angular velocity and articulated angle estimation results. (<b>a</b>) Angular velocity of front vehicle body, (<b>b</b>) angular velocity of rear vehicle body, and (<b>c</b>) articulated angle.</p>
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<p>Longitudinal and lateral acceleration estimation results. (<b>a</b>) Longitudinal acceleration of front vehicle body, (<b>b</b>) longitudinal acceleration of rear vehicle body, (<b>c</b>) lateral acceleration of front vehicle body, (<b>d</b>) lateral acceleration of rear vehicle body.</p>
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<p>Wheel speed estimation results: (<b>a</b>) wheel 1 speed, (<b>b</b>) wheel 2 speed, (<b>c</b>) wheel 3 speed, and (<b>d</b>) wheel 4 speed.</p>
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31 pages, 21587 KiB  
Article
Bearing Fault Feature Extraction Method Based on Adaptive Time-Varying Filtering Empirical Mode Decomposition and Singular Value Decomposition Denoising
by Xuezhuang E, Wenbo Wang and Hao Yuan
Machines 2025, 13(1), 50; https://doi.org/10.3390/machines13010050 - 13 Jan 2025
Viewed by 360
Abstract
Aiming to address the difficulty in extracting the early weak fault features of bearings under complex operating conditions, a fault diagnosis method is proposed based on the adaptive fusion of time-varying filtering empirical mode decomposition (TVF-EMD) modal components and singular value decomposition (SVD) [...] Read more.
Aiming to address the difficulty in extracting the early weak fault features of bearings under complex operating conditions, a fault diagnosis method is proposed based on the adaptive fusion of time-varying filtering empirical mode decomposition (TVF-EMD) modal components and singular value decomposition (SVD) noise reduction. First, the snake optimization (SO) technique is used to optimize the TVF-EMD algorithm in order to determine the optimal parameters that match the input signal. Then, the bearing signal is divided into a number of intrinsic mode functions (IMFs) using TVF-EMD in order to reduce the nonlinearity and non-stationary characteristics of the fault signal. An index for the envelope fault information energy ratio (EFIER) is created to overcome the drawback of there being too many IMF components after TVF-EMD decomposition. The IMF components are ranked in descending order according to the EFIER, and they are fused according to the maximum principle of the energy ratio of envelope fault information until the optimal fusion component is determined. Finally, the fault feature is extracted when the optimal fusion component is denoised using SVD. Two measured bearing fault signals and simulation signals are used to validate the performance of the proposed method. The experimental findings demonstrate that the approach has good sensitive feature screening, fusion, and noise reduction capabilities. The proposed method can more precisely extract the early fault features of bearings and accurately identify fault types. Full article
(This article belongs to the Section Machines Testing and Maintenance)
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<p>Simulated signal: (<b>a</b>) time domain waveform; (<b>b</b>) frequency spectrum.</p>
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<p>Decomposing results of TVF-EMD: (<b>a</b>) three IMFs; (<b>b</b>) spectrograms of IMFs.</p>
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<p>Fault signal with different noise intensities and sudden pulses.</p>
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<p>TVF-EMD modal component fusion based on EFIER maximum principle.</p>
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<p>The calculation process of improved TVF-EMD and SVD methods.</p>
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<p>Outer ring fault simulation signal: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>Comparison of optimal components obtained by three indexes.</p>
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<p>Comparison of optimal components obtained by three indexes.</p>
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<p>Simulation signal with noise: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>EFIER value of each IMF.</p>
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<p>IMF3 component: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>OC component (IMF3 + IMF2): (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>OC component after SVD denoising: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>Experimental platforms of CWRU dataset.</p>
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<p>Original vibration signal of outer ring fault of CWRU dataset: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>EFIER values of all IMF components.</p>
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<p>The IMF5 component: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>The OC component: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>OC after SVD denoising: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>Optimal component by TVF-EMD: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>OC component by VMD decomposition: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>The optimal component by CEEMDAN: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>Original vibration signal of inner ring fault of CWRU dataset: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>Every IMF component’s EFIER value.</p>
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<p>The IMF4 component: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>Optimal component obtained by ATVFEMD: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>OC obtained using SO-TVFEMD and SVD denoising: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>OC obtained by traditional TVF-EMD: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>OC obtained by VMD: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>OC obtained using CEEMDAN: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>Waveform and envelope spectrum of outer ring fault of XJTU dataset.</p>
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<p>EFIER values of each IMF of outer ring fault of XJTU dataset.</p>
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<p>Waveform and envelope spectrum of OC after SVD denoising.</p>
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<p>Denoised OC of XJTU outer ring fault by SVD: (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>Waveform and envelope spectrum of optimal component by traditional TVF-EMD.</p>
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<p>Waveform and envelope spectrum of OC of XJTU outer ring fault by VMD.</p>
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<p>Waveform and envelope spectrum of optimal component by CEEMDAN.</p>
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<p>Waveform and envelope spectrum of inner ring fault of XJTU dataset.</p>
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<p>EFIER values of each IMF of inner ring fault of XJTU dataset.</p>
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<p>Waveform and envelope spectrum of OC component (IMF43 + IMF18).</p>
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<p>Denoised OC of XJTU inner ring fault; (<b>a</b>) waveform; (<b>b</b>) envelope spectrum.</p>
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<p>Waveform and envelope spectrum of OC by TVF-EMD.</p>
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<p>Waveform and envelope spectrum of OC of XJTU inner ring fault by VMD.</p>
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<p>Waveform and envelope spectrum of OC by CEEMDAN.</p>
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17 pages, 605 KiB  
Communication
Coherent Signal DOA Estimation Method Based on Space–Time–Coding Metasurface
by Guanchao Chen, Xiaolong Su, Lida He, Dongfang Guan and Zhen Liu
Remote Sens. 2025, 17(2), 218; https://doi.org/10.3390/rs17020218 - 9 Jan 2025
Viewed by 392
Abstract
A novel method for the direction of arrival (DOA) estimation of coherent signals under a space–time–coding metasurface (STCM) is proposed in this paper. Noticeably, the STCM can replace multi-channel arrays with a single channel, which can be utilized to modulate incident electromagnetic waves [...] Read more.
A novel method for the direction of arrival (DOA) estimation of coherent signals under a space–time–coding metasurface (STCM) is proposed in this paper. Noticeably, the STCM can replace multi-channel arrays with a single channel, which can be utilized to modulate incident electromagnetic waves and generate harmonics. However, coherent signals are overlapping in the frequency spectrum and cannot achieve DOA estimation through subspace methods. Therefore, the proposed method transforms the angle information in the time domain into amplitude and phase information at harmonics in the frequency domain by modulating incident coherent signals using the STCM and performing a fast Fourier transform (FFT) on these signals. Based on the harmonics in the frequency spectrum of the coherent signals, appropriate harmonics are selected. Finally, the 1 norm singular value decomposition (1-SVD) algorithm is utilized for achieving high-precision DOA estimation. Simulation experiments are conducted to show the performance of the proposed method under the condition of different incident angles, harmonic numbers, signal-to-noise ratios (SNRs), etc. Compared to the traditional algorithms, the performance of the proposed algorithm can achieve more accurate DOA estimation under a low SNR. Full article
(This article belongs to the Special Issue Array and Signal Processing for Radar)
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Graphical abstract

Graphical abstract
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<p>Schematic diagram of the coherent signal DOA estimation system based on the STCM.</p>
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<p>The STCM sequence diagram, in which light yellow indicates the coding “1” and dark blue indicates the coding “−1”.</p>
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<p>Spectrum amplitudes of received coherent signals from the directions 0° and 5°.</p>
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<p>DOA estimation results of different received coherent signals.</p>
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<p>DOA estimation performance for coherent signals at different angles.</p>
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<p>DOA estimation performance for the different numbers of elements.</p>
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<p>DOA estimation performance for the different numbers of snapshots.</p>
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<p>DOA estimation performance for the different numbers of harmonics.</p>
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<p>DOA estimation results of received coherent signals from the direction 0° and 5° using <span class="html-italic">ℓ</span><sub>1</sub>-SVD.</p>
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<p>DOA estimation results of received coherent signals from the direction 0° and 5° using SS-MUSIC.</p>
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<p>Comparison of DOA estimation performance of different algorithms.</p>
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<p>Comparison of different algorithms changing with different snapshots.</p>
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