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27 pages, 22468 KiB  
Review
The Causal Nexus Between Different Feed Networks and Defected Ground Structures in Multi-Port MIMO Antennas
by Merve Tascioglu Yalcinkaya, Shahanawaz Kamal, Padmanava Sen and Gerhard P. Fettweis
Sensors 2024, 24(22), 7278; https://doi.org/10.3390/s24227278 - 14 Nov 2024
Viewed by 302
Abstract
Multiple input multiple output (MIMO) antennas have recently received attention for improving wireless communication data rates in rich scattering environments. Despite this, the challenge of isolation persists prominently in compact MIMO-based electronics. Various techniques have recently emerged to address the isolation issues, among [...] Read more.
Multiple input multiple output (MIMO) antennas have recently received attention for improving wireless communication data rates in rich scattering environments. Despite this, the challenge of isolation persists prominently in compact MIMO-based electronics. Various techniques have recently emerged to address the isolation issues, among which the defected ground structure (DGS) stands out as a cost-effective solution. Additionally, selecting the appropriate feed mechanism is crucial for enhancing the key performance indicators of MIMO antennas. However, there has been minimal focus on how different feed methods impact the operation of MIMO antennas integrated with DGS. This paper begins with a comprehensive review of diverse antenna design, feeding strategies, and DGS architectures. Subsequently, the causal relationships between various feed networks and DGSs has been established through modeling, simulation, fabrication, and measurement of MIMO antennas operating within the sub-6 GHz spectrum. Particularly, dual elements of MIMO antennas grounded by a slotted complementary split ring resonator (SCSRR)-based DGS were excited using four standard feed methods: coaxial probe, microstrip line, proximity coupled, and aperture coupled feed. The influence of each feed network on the performance of MIMO antennas integrated with SCSRR-based DGSs has been thoroughly investigated and compared, leading to guidelines for feed network selection. The coaxial probe feed network provided improved isolation performance, ranging from 16.5 dB to 46 dB in experiments.The aperture and proximity-coupled feed network provided improvements in bandwidth of 38.7% and 15.6%, respectively. Furthermore, reasonable values for envelope correlation coefficient (ECC), diversity gain (DG), channel capacity loss (CCL), and mean effective gain (MEG) have been ascertained. Full article
(This article belongs to the Section Intelligent Sensors)
Show Figures

Figure 1

Figure 1
<p>Coaxial probe feed.</p>
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<p>Microstrip line feed.</p>
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<p>Proximity-coupled feed.</p>
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<p>Aperture-coupled feed.</p>
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<p>Metal (black) and substrate (white) regions of (<b>a</b>) SRR, (<b>b</b>) CSRR, and (<b>c</b>) SCSRR geometries.</p>
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<p>Configuration of SCSRR model and dimension of the SCSRR are provided in <a href="#sensors-24-07278-t003" class="html-table">Table 3</a>.</p>
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<p>Dispersion diagram of CSRR and SCSRR (Freq = Frequency).</p>
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<p>S-parameters of the SCSRR.</p>
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<p>Coaxial probe feed MIMO antenna model without SCSRR-based DGS. Dimensions of antenna: L<sub><span class="html-italic">sub</span></sub> = 36 mm, W<sub><span class="html-italic">sub</span></sub> = 58 mm, L<sub><span class="html-italic">p</span></sub> = 16 mm, W<sub><span class="html-italic">p</span></sub> = 12.55 mm, d<sub>1</sub> = 26 mm.</p>
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<p>Coaxial probe feed MIMO antenna model with SCSRR-based DGS. Dimensions of antenna: L<sub><span class="html-italic">sub</span></sub> = 36 mm, W<sub><span class="html-italic">sub</span></sub> = 58 mm, L<sub><span class="html-italic">p</span></sub> = 16 mm, W<sub><span class="html-italic">p</span></sub> = 12.55 mm, d<sub>1</sub> = 26 mm. Note: Dimensions of SCSRR are listed in <a href="#sensors-24-07278-t003" class="html-table">Table 3</a>.</p>
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<p>S-parameters of coaxial probe feed MIMO antennas with SCSRR-based DGS.</p>
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<p>The 3D gain patterns of coaxial probe feed MIMO antennas with SCSRR-based DGS.</p>
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<p>Current distribution of coaxial probe feed MIMO antennas with and without SCSRR-based DGS. (<b>a</b>) Without SCSRR-based DGS and (<b>b</b>) With SCSRR-based DGS.</p>
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<p>Microstrip line feed MIMO antenna model without SCSRR-based DGS. Dimensions of antenna: L<sub><span class="html-italic">sub</span></sub> = 36 mm, W<sub><span class="html-italic">sub</span></sub> = 58 mm, L<sub><span class="html-italic">p</span></sub> = 16 mm, W<sub><span class="html-italic">p</span></sub> = 13 mm, d<sub>1</sub> = 26 mm, w<sub><span class="html-italic">f</span></sub> = 3 mm, w<sub><span class="html-italic">t</span></sub> = 0.8 mm.</p>
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<p>The microstrip line feed MIMO antenna model with SCSRR-based DGS. The dimensions of antenna are as follows: L<sub><span class="html-italic">sub</span></sub> = 36 mm, W<sub><span class="html-italic">sub</span></sub> = 58 mm, L<sub><span class="html-italic">p</span></sub> = 16 mm, W<sub><span class="html-italic">p</span></sub> = 13 mm, d<sub>1</sub> = 26 mm, w<sub><span class="html-italic">f</span></sub> = 3 mm, w<sub><span class="html-italic">t</span></sub> = 0.8 mm. Note: Dimensions of SCSRR are listed in <a href="#sensors-24-07278-t003" class="html-table">Table 3</a>.</p>
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<p>S-parameters of microstrip line feed MIMO antennas with and without SCSRR-based DGS.</p>
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<p>The 3D gain patterns of microstrip line feed MIMO antennas with SCSRR-based DGS.</p>
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<p>Current distribution of microstrip line feed MIMO antennas (<b>a</b>) without and (<b>b</b>) with SCSRR-based DGS.</p>
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<p>Proximity-coupled feed MIMO antenna model without SCSRR-based DGS. Dimensions of antenna: L<sub><span class="html-italic">sub</span></sub> = 36 mm, W<sub><span class="html-italic">sub</span></sub> = 58 mm, L<sub><span class="html-italic">p</span></sub> = 16 mm, W<sub><span class="html-italic">p</span></sub> = 13 mm, d<sub>1</sub> = 26 mm, w<sub><span class="html-italic">f</span></sub> = 3 mm, w<sub><span class="html-italic">t</span></sub> = 0.8 mm.</p>
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<p>Proximity-coupled feed MIMO antenna model with SCSRR-based DGS. Note: Dimensions of SCSRR are listed in <a href="#sensors-24-07278-t003" class="html-table">Table 3</a>.</p>
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<p>S-parameters of proximity-coupled feed MIMO antenna with and without SCSRR-based DGS.</p>
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<p>The 3D gain patterns of proximity-coupled feed MIMO antennas with SCSRR-based DGS.</p>
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<p>Current distribution of proximity coupled feed MIMO antennas (<b>a</b>) without and (<b>b</b>) with SCSRR-based DGS.</p>
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<p>Dimensions of aperture-coupled feed MIMO antenna model without SCSRR-based DGS.</p>
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<p>Dimensions of aperture coupled feed MIMO antenna model with SCSRR-based DGS.</p>
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<p>S-parameters of aperture coupled feed MIMO antennas with and without SCSRR-based DGS.</p>
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<p>The 3D gain patterns of aperture-coupled feed MIMO antennas with SCSRR-based DGS.</p>
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<p>Current distribution of aperture-coupled feed MIMO antennas (<b>a</b>) without and (<b>b</b>) with SCSRR-based DGS.</p>
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<p>ECC of MIMO antennas with SCSRR-based DGS for each feeding methods.</p>
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<p>DG of MIMO antennas with SCSRR-based DGS for each feeding methods.</p>
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<p>CCL of MIMO antennas with SCSRR-based DGS for each feeding methods.</p>
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<p>MEG of MIMO antennas with SCSRR-based DGS for each feeding methods.</p>
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<p>Photographs of the fabricated MIMO antennas with SCSRR-based DGS for (<b>a</b>) different feed networks and (<b>b</b>) aperture-coupled feed.</p>
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<p>Simulated and measured S-parameters of coaxial feed MIMO antenna with SCSRR-based DGS.</p>
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<p>Simulated and measured S-parameters of microstrip line feed MIMO antenna with SCSRR-based DGS.</p>
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<p>Simulated and measured S-parameters of proximity coupled feed MIMO antenna with SCSRR-based DGS.</p>
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<p>Simulated and measured S-parameters of aperture coupled feed MIMO antenna with SCSRR-based DGS.</p>
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<p>Simulated and measured radiation patterns of coaxial feed MIMO antenna with SCSRR-based DGS: (<b>a</b>) E-plane; (<b>b</b>) H-plane.</p>
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<p>Simulated and measured radiation patterns of microstrip line feed MIMO antenna with SCSRR-based DGS: (<b>a</b>) E-plane; (<b>b</b>) H-plane.</p>
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<p>Simulated and measured radiation patterns of proximity coupled feed MIMO antenna with SCSRR-based DGS: (<b>a</b>) E-plane; (<b>b</b>) H-plane.</p>
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<p>Simulated and measured radiation patterns of aperture-coupled feed MIMO antenna with SCSRR-based DGS: (<b>a</b>) E-plane; (<b>b</b>) H-plane.</p>
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26 pages, 7065 KiB  
Article
From Envelope Spectra to Bearing Remaining Useful Life: An Intelligent Vibration-Based Prediction Model with Quantified Uncertainty
by Haobin Wen, Long Zhang and Jyoti K. Sinha
Sensors 2024, 24(22), 7257; https://doi.org/10.3390/s24227257 - 13 Nov 2024
Viewed by 280
Abstract
Bearings are pivotal components of rotating machines where any defects could propagate and trigger systematic failures. Once faults are detected, accurately predicting remaining useful life (RUL) is essential for optimizing predictive maintenance. Although data-driven methods demonstrate promising performance in direct RUL prediction, their [...] Read more.
Bearings are pivotal components of rotating machines where any defects could propagate and trigger systematic failures. Once faults are detected, accurately predicting remaining useful life (RUL) is essential for optimizing predictive maintenance. Although data-driven methods demonstrate promising performance in direct RUL prediction, their robustness and practicability need further improvement regarding physical interpretation and uncertainty quantification. This work leverages variational neural networks to model bearing degradation behind envelope spectra. A convolutional variational autoencoder for regression (CVAER) is developed to probabilistically predict RUL distributions with confidence measures. Enhanced average envelope spectra (AES) are used as network input for its physical robustness in bearing condition assessment and fault detection. The use of the envelope spectrum ensures that it contains only bearing-related information by removing other rotor-related frequencies, hence it improves the RUL prediction. Unlike traditional variational autoencoders, the probabilistic regressor and latent generator are formulated to quantify uncertainty in RUL estimates and learn meaningful latent representations conditioned on specific RUL. Experimental validations are conducted on vibration data collected using multiple accelerometers whose natural frequencies cover bearing resonance ranges to ensure fault detection reliability. Beyond conventional bearing diagnosis, envelope spectra are extended for statistical RUL prediction integrating physical knowledge of actual defect conditions. Comparative and ablation studies are conducted against benchmark models to demonstrate their effectiveness. Full article
(This article belongs to the Special Issue Fault Diagnosis and Vibration Signal Processing in Rotor Systems)
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Figure 1

Figure 1
<p>The architecture of AE and VAE networks.</p>
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<p>Schematic diagram of the probabilistic CVAER model for RUL prediction.</p>
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<p>Network architecture of the CVAER.</p>
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<p>The schematic diagram of the bearing test rig for run-to-failure experiments.</p>
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<p>Raw vibration acceleration signals of Bearing 1–3.</p>
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<p>The AES around fault detection time. (<b>a</b>–<b>d</b>): Horizontal AES of Bearing 1–3 from the 58th to 61st minute. The outer-race fault components, BPFO and its harmonics, are observed from the 59th minute, indicating the initiation of the outer-race fault.</p>
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<p>The AES around fault detection time. (<b>a</b>–<b>d</b>): Horizontal AES of Bearing 1–3 from the 58th to 61st minute. The outer-race fault components, BPFO and its harmonics, are observed from the 59th minute, indicating the initiation of the outer-race fault.</p>
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<p>The horizontal AES contours with respect to machine operation time for (<b>a</b>) Bearing 1–3 and (<b>b</b>) Bearing 3–1. The onsets of the BPFO components are, respectively, identified as the 59th minute and the 2386th minute, as indicated by the red solid lines.</p>
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<p>The generation of the RUL targets of ground truth (illustrated via Bearing 1–3).</p>
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<p>RUL prediction results based on CVAER at the bearing degradation stage for (<b>a</b>) Bearing 1–1, (<b>b</b>) Bearing 1–3, (<b>c</b>) Bearing 2–2, (<b>d</b>) Bearing 2–5, (<b>e</b>) Bearing 3–4, and (<b>f</b>) Bearing 3–5. The mean predicted RULs for the test bearings are shown in blue solid lines with the standard deviation (STD). The error bar plots present the prediction error between the mean prediction and the RUL of ground truth (in red solid line).</p>
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<p>RUL prediction results based on CVAER at the bearing degradation stage for (<b>a</b>) Bearing 1–1, (<b>b</b>) Bearing 1–3, (<b>c</b>) Bearing 2–2, (<b>d</b>) Bearing 2–5, (<b>e</b>) Bearing 3–4, and (<b>f</b>) Bearing 3–5. The mean predicted RULs for the test bearings are shown in blue solid lines with the standard deviation (STD). The error bar plots present the prediction error between the mean prediction and the RUL of ground truth (in red solid line).</p>
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<p>The 2D embedding based on t–SNE using the envelope spectra of the test bearings under Condition 1. The projection of (<b>a</b>) the AES from the horizontal channel into a 2D plane, and (<b>b</b>) the AES from the vertical channel into a 2D plane. (<b>c</b>) The projection of the latent representations learned by the CVAER using the network parameters from Group 3.</p>
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<p>RUL prediction results of CVAER with comparisons against other benchmark models. (<b>a</b>) Bearing 1–1, (<b>b</b>) Bearing 1–3, (<b>c</b>) Bearing 2–2, (<b>d</b>) Bearing 2–5, (<b>e</b>) Bearing 3–4, and (<b>f</b>) Bearing 3–5.</p>
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<p>RUL prediction results of CVAER with comparisons against other benchmark models. (<b>a</b>) Bearing 1–1, (<b>b</b>) Bearing 1–3, (<b>c</b>) Bearing 2–2, (<b>d</b>) Bearing 2–5, (<b>e</b>) Bearing 3–4, and (<b>f</b>) Bearing 3–5.</p>
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30 pages, 11511 KiB  
Article
Sources and Radiations of the Fermi Bubbles
by Vladimir A. Dogiel and Chung-Ming Ko
Universe 2024, 10(11), 424; https://doi.org/10.3390/universe10110424 - 12 Nov 2024
Viewed by 351
Abstract
Two enigmatic gamma-ray features in the galactic central region, known as Fermi Bubbles (FBs), were found from Fermi-LAT data. An energy release, (e.g., by tidal disruption events in the Galactic Center, GC), generates a cavity with a shock that expands into the local [...] Read more.
Two enigmatic gamma-ray features in the galactic central region, known as Fermi Bubbles (FBs), were found from Fermi-LAT data. An energy release, (e.g., by tidal disruption events in the Galactic Center, GC), generates a cavity with a shock that expands into the local ambient medium of the galactic halo. A decade or so ago, a phenomenological model of the FBs was suggested as a result of routine star disruptions by the supermassive black hole in the GC which might provide enough energy for large-scale structures, like the FBs. In 2020, analytical and numerical models of the FBs as a process of routine tidal disruption of stars near the GC were developed; these disruption events can provide enough cumulative energy to form and maintain large-scale structures like the FBs. The disruption events are expected to be 104105yr1, providing an average power of energy release from the GC into the halo of E˙3×1041 erg s1, which is needed to support the FBs. Analysis of the evolution of superbubbles in exponentially stratified disks concluded that the FB envelope would be destroyed by the Rayleigh–Taylor (RT) instabilities at late stages. The shell is composed of swept-up gas of the bubble, whose thickness is much thinner in comparison to the size of the envelope. We assume that hydrodynamic turbulence is excited in the FB envelope by the RT instability. In this case, the universal energy spectrum of turbulence may be developed in the inertial range of wavenumbers of fluctuations (the Kolmogorov–Obukhov spectrum). From our model we suppose the power of the FBs is transformed partly into the energy of hydrodynamic turbulence in the envelope. If so, hydrodynamic turbulence may generate MHD fluctuations, which accelerate cosmic rays there and generate gamma-ray and radio emission from the FBs. We hope that this model may interpret the observed nonthermal emission from the bubbles. Full article
(This article belongs to the Special Issue Studying Astrophysics with High-Energy Cosmic Particles)
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Figure 1

Figure 1
<p>Comparison of the morphology of the gamma-ray bubbles (red) and the X-ray bubbles (cyan) in the direction of the Galactic Center. Figure reproduced from Predehl et al. [<a href="#B1-universe-10-00424" class="html-bibr">1</a>] with permission.</p>
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<p>X-ray superbubbles in the galaxy NGC 3079. Image from <a href="https://chandra.harvard.edu/photo/2019/ngc3079" target="_blank">https://chandra.harvard.edu/photo/2019/ngc3079</a> (accessed on 10 September 2024). Image credit: X-ray: NASA/CXC/University of Michigan. Optical: NASA/STScI.</p>
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<p>The observed X-ray light curve of Swift J1644+57 from Swift, XMM-Newton, and Chandra. Figure reproduced from Cheng et al. [<a href="#B43-universe-10-00424" class="html-bibr">43</a>] with permission.</p>
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<p>A thermonuclear explosion in the terrestrial atmosphere. Image credit: United States Department of Energy. Image from <a href="https://commons.wikimedia.org/wiki/File:Castle_Bravo_nuclear_test_(cropped).jpg" target="_blank">https://commons.wikimedia.org/wiki/File:Castle_Bravo_nuclear_test_(cropped).jpg</a> (accessed on 10 September 2024).</p>
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<p>Illustration of the double-bubble shock envelope in the halo evolving with time. The gas distribution in the halo in the left panel is exponential and in the right panel follows a power law. Figure adapted from Ko et al. [<a href="#B16-universe-10-00424" class="html-bibr">16</a>] with permission.</p>
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<p>Temporal variation in the shock velocity of the top of the bubble for the case of exponential halo with <math display="inline"><semantics> <mrow> <mi>H</mi> <mo>=</mo> <mn>0.67</mn> </mrow> </semantics></math> kpc and <math display="inline"><semantics> <mrow> <msub> <mi>n</mi> <mn>0</mn> </msub> <mo>=</mo> <mn>0.03</mn> <msup> <mi>cm</mi> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </semantics></math>. (<b>Left panel</b>): One single input of energy from the GC. (<b>Right panel</b>): Multiple TDEs with different values of power release at the GC. The horizontal dotted line indicates the velocity which is necessary for the shock in order not to stall in the halo, which is three times the sound speed in the halo <math display="inline"><semantics> <mrow> <mn>3</mn> <mo>×</mo> <msup> <mn>10</mn> <mn>7</mn> </msup> </mrow> </semantics></math> cm <math display="inline"><semantics> <mrow> <msup> <mi mathvariant="normal">s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics></math>. Figure reproduced from Ko et al. [<a href="#B16-universe-10-00424" class="html-bibr">16</a>] with permission.</p>
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<p>Density distribution of numerical simulations of the FBs in an exponential halo. The two panels in the left column are results of multiple explosions (e.g., TDEs) and in the right column are results of a single huge explosion. In the upper left panel, “Me0.05-3e52erg 18.0 Myr” corresponds to multiple explosions with 0.05 Myr between successive explosions and the energy release by each explosion is <math display="inline"><semantics> <mrow> <mn>3</mn> <mo>×</mo> <msup> <mn>10</mn> <mn>52</mn> </msup> </mrow> </semantics></math> erg, and the simulation ends at 18.0 Myr. In the upper right panel, “1e-1.08e55erg 10.0 Myr” corresponds to a single explosion with an energy release of <math display="inline"><semantics> <mrow> <mn>1.08</mn> <mo>×</mo> <msup> <mn>10</mn> <mn>55</mn> </msup> </mrow> </semantics></math> erg, and the simulation ends at 10.0 Myr. Similar explanation for the lower panels. Lower panel figures reproduced from Ko et al. [<a href="#B16-universe-10-00424" class="html-bibr">16</a>] with permission.</p>
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<p>Coherent magnetic structure above and below the galactic plane [<a href="#B17-universe-10-00424" class="html-bibr">17</a>]. (<b>a</b>) Polarized synchrotron intensity map at <math display="inline"><semantics> <mrow> <mn>22.8</mn> </mrow> </semantics></math> GHz from WMAP. Green bars show the magnetic field direction. (<b>b</b>) Comparison between the polarized synchrotron emission at <math display="inline"><semantics> <mrow> <mn>22.8</mn> </mrow> </semantics></math> GHz (red) and the X-ray emission at <math display="inline"><semantics> <mrow> <mn>0.6</mn> </mrow> </semantics></math>∼<math display="inline"><semantics> <mrow> <mn>1.0</mn> </mrow> </semantics></math> keV from eROSITA (green). Magnetized ridges are shown in white. Figure reproduced from Zhang et al. [<a href="#B17-universe-10-00424" class="html-bibr">17</a>] with permission.</p>
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<p>The solid line shows the momentum diffusion coefficient derived for the bubble parameters when the CR absorption is taken into account. The dash-dotted line is the results ignoring the CR absorption. Figure reproduced from Cheng et al. [<a href="#B71-universe-10-00424" class="html-bibr">71</a>] with permission.</p>
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<p>Spectrum of radio (<b>left</b>) and gamma-ray (<b>right</b>) emission from the FBs (see [<a href="#B71-universe-10-00424" class="html-bibr">71</a>]). The microwave data were taken from Planck Collaboration [<a href="#B3-universe-10-00424" class="html-bibr">3</a>], and the gamma-ray data from Ackermann et al. [<a href="#B72-universe-10-00424" class="html-bibr">72</a>], Ackermann et al. [<a href="#B77-universe-10-00424" class="html-bibr">77</a>]. Figure adapted from Cheng et al. [<a href="#B71-universe-10-00424" class="html-bibr">71</a>] with permission.</p>
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<p>X-ray emission from the galactic plane whose excess emission is above the equilibrium Maxwellian spectrum. Dash-dotted line is a simple combination of thermal plus nonthermal spectrum. Solid line is the spectrum with the effect of runaway flux. Figure reproduced from Dogiel et al. [<a href="#B96-universe-10-00424" class="html-bibr">96</a>] with permission.</p>
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<p>The spectrum of electrons accelerated from background plasma (see [<a href="#B100-universe-10-00424" class="html-bibr">100</a>]). The solid line is the density of electrons, <math display="inline"><semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </semantics></math>. The thick solid line is the pure thermal Maxwellian distribution. The dashed line is the power-law approximation of the nonthermal tail. For <math display="inline"><semantics> <mrow> <msub> <mi>p</mi> <mn>0</mn> </msub> <mo>&gt;</mo> <msub> <mi>p</mi> <mi>inj</mi> </msub> </mrow> </semantics></math>, overheating is insignificant. Figure adapted from Chernyshov et al. [<a href="#B100-universe-10-00424" class="html-bibr">100</a>] with permission.</p>
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<p>The spectrum of SNR electrons from the galactic disk that have been re-accelerated in the FBs. The five spectra in the figure correspond to different cases of the model: (1) thick solid line: without re-acceleration, escape, and advection; (2) thick dash-dotted line: without re-acceleration and escape but with advection; (3) thin dash-dotted line: with re-acceleration but without escape from the region and advection; (4) thin dotted line: with re-acceleration and escape from the region but without advection; (5) thin dashed line: with re-acceleration and advection but without escape. The density of electrons needed for the observed gamma-ray flux from the bubbles is shown by the gray region. The electron spectrum of case (5) can reproduce the gamma-ray data from Fermi-LAT and the microwave data from Planck (<a href="#universe-10-00424-f010" class="html-fig">Figure 10</a>). The parameters of case (5) can be found in the main text. For parameters of other cases, the reader is referred to Cheng et al. [<a href="#B101-universe-10-00424" class="html-bibr">101</a>]. Figure reproduced from Cheng et al. [<a href="#B101-universe-10-00424" class="html-bibr">101</a>] with permission.</p>
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<p>CR spectrum at the Earth as a combination of the contributions from the SNRs in the galactic disk and the stochastic acceleration in the FBs. Figure reproduced from Cheng et al. [<a href="#B116-universe-10-00424" class="html-bibr">116</a>] with permission.</p>
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<p>A possible multiple-shock structure in the FBs resulting from multiple TDEs at the GC. The figure shows the pressure (<b>left panel</b>) and kinetic energy (<b>right panel</b>) distributions of a numerical simulation of the FBs in an exponential halo. In the panels, “Me0.05-1e53” corresponds to multiple TDEs with 0.05 Myr between successive TDEs and the energy release by each TDE is <math display="inline"><semantics> <msup> <mn>10</mn> <mn>53</mn> </msup> </semantics></math> erg. The simulation ends at 10.0 Myr. The units of the color bars in both panels are <math display="inline"><semantics> <mrow> <mn>1.178</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>8</mn> </mrow> </msup> </mrow> </semantics></math> erg <math display="inline"><semantics> <mrow> <msup> <mi>cm</mi> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </semantics></math>.</p>
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21 pages, 16720 KiB  
Article
An Enhanced Spectral Amplitude Modulation Method for Fault Diagnosis of Rolling Bearings
by Zongcai Ma, Yongqi Chen, Tao Zhang and Ziyang Liao
Machines 2024, 12(11), 779; https://doi.org/10.3390/machines12110779 - 6 Nov 2024
Viewed by 256
Abstract
As a classic nonlinear filtering method, Spectral Amplitude Modulation (SAM) is widely used in the field of bearing fault characteristic frequency identification. However, when the vibration signal contains high-intensity noise interference, the accuracy of SAM in identifying fault characteristic frequencies is greatly reduced. [...] Read more.
As a classic nonlinear filtering method, Spectral Amplitude Modulation (SAM) is widely used in the field of bearing fault characteristic frequency identification. However, when the vibration signal contains high-intensity noise interference, the accuracy of SAM in identifying fault characteristic frequencies is greatly reduced. To solve the above problems, a Data Enhancement Spectral Amplitude Modulation (DA-SAM) method is proposed. This method further processes the modified signal through improved wavelet transform (IWT), calculates its logarithmic maximum square envelope spectrum to replace the original square envelope spectrum, and finally completes SAM. By highlighting signal characteristics and strengthening feature information, interference information can be minimized, thereby improving the robustness of the SAM method. In this paper, this method is verified through fault data sets. The research results show that this method can effectively reduce the interference of noise on fault diagnosis, and the fault characteristic information obtained is clearer. The superiority of this method compared with the SAM method, Autogram method, and fast spectral kurtosis diagram method is proved. Full article
(This article belongs to the Section Machines Testing and Maintenance)
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<p>Signal spectrum under different MOs.</p>
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<p>Comparison chart of modified signal-to-noise ratio results. (<b>a</b>) Original signal 1; (<b>b</b>) original signal 2; (<b>c</b>) modified signal 1; (<b>d)</b> modified signal 2; (<b>e</b>) signal 1 comparison; (<b>f</b>) signal 2 comparison.</p>
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<p>Wavelet tree structure diagram.</p>
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<p>DA-SAM method flow chart.</p>
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<p>Experimental setup.</p>
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<p>Diagram of 30 HZ−2 V fault signal.</p>
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<p>Original and modified signals of outer ring fault.</p>
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<p>Outer ring original signal envelope spectrum.</p>
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<p>Outer ring fault analysis results based on SAM method.</p>
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<p>Outer ring fault analysis results based on SAM method.</p>
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<p>Outer ring fault analysis results based on DA-SAM method.</p>
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<p>Outer ring fault analysis results based on the fast spectral kurtosis method. (<b>a</b>) Fast kurtosis plot; (<b>b</b>) envelope spectrum.</p>
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<p>Outer ring fault analysis results based on the Autogram method. (<b>a</b>) Kurtosis plot; (<b>b</b>) SES; (<b>c</b>) mean squared envelope spectrum.</p>
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<p>Outer ring fault analysis results based on the Autogram method. (<b>a</b>) Kurtosis plot; (<b>b</b>) SES; (<b>c</b>) mean squared envelope spectrum.</p>
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<p>Original signal and modified signal of inner circle fault.</p>
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<p>Inner ring original signal envelope spectrum.</p>
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<p>Inner ring fault analysis results based on SAM method.</p>
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<p>Inner ring fault analysis results based on DA-SAM method.</p>
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<p>Inner ring fault analysis results based on DA-SAM method.</p>
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<p>Inner ring fault analysis results based on the fast spectral kurtosis method. (<b>a</b>) Fast kurtosis plot; (<b>b</b>) envelope spectrum.</p>
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<p>Inner ring fault analysis results based on the Autogram method. (<b>a</b>) Kurtosis plot; (<b>b</b>) SES; (<b>c</b>) mean squared envelope spectrum.</p>
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<p>Composite fault original signal and modified signal.</p>
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<p>Composite fault original signal envelope spectrum.</p>
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<p>Composite fault analysis results of SAM method.</p>
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<p>Composite fault analysis results of SAM method.</p>
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<p>Composite fault analysis results of DA-SAM method.</p>
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<p>Fast spectral kurtosis composite fault analysis results. (<b>a</b>) Fast kurtosis plot; (<b>b</b>) envelope spectrum.</p>
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<p>Autogram composite fault analysis results. (<b>a</b>) Kurtosis plot; (<b>b</b>) SES; (<b>c</b>) Mean squared envelope spectrum.</p>
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23 pages, 729 KiB  
Article
CCE-OMBOC: A Simple and Efficient Constant-Envelope Technology for Multicarrier Navigation Modulation by Clipping
by Lingyu Deng, Yikang Yang, Xingyou Qian, Jiangang Ma, Yanxiang Feng and Hengnian Li
Remote Sens. 2024, 16(21), 4016; https://doi.org/10.3390/rs16214016 - 29 Oct 2024
Viewed by 346
Abstract
Multicarrier navigation modulation is a trend within next-generation global navigation satellite systems (GNSS) aiming to enhance navigation performance, but it forces amplifiers to work in nonsaturation zones, resulting in low power efficiency. This paper presents constant-envelope multiplexing (CEM) based on clipping to overcome [...] Read more.
Multicarrier navigation modulation is a trend within next-generation global navigation satellite systems (GNSS) aiming to enhance navigation performance, but it forces amplifiers to work in nonsaturation zones, resulting in low power efficiency. This paper presents constant-envelope multiplexing (CEM) based on clipping to overcome the low transmission efficiency of orthogonal multi-binary offset carriers (OMBOCs). The clip constant-envelope OMBOC (CCE-OMBOC) features a hard limit for the original OMBOC signal, and its cross-correlation function (CCF) has a fixed ratio with the CCF of the original OMBOC. Thus, the clipping process has no adverse effect on navigation performance. Additionally, the expression of transmission and multiplexing efficiency is presented according to OMBOC’s amplitude distribution. A low sampling rate is suggested for the CCE-OMBOC, which reduces the cost of signal generation. For OMBOC, the CCE-OMBOC provides multiplexing efficiency comparable to that of constant-envelope multiplexing via intermodulation construction (CEMIC). CCE-OMBOC has a straightforward generation process; in contrast, the complexity of CEMIC rises significantly with increasing subcarriers. Moreover, the CCE-OMBOC is a multicarrier CEM modulation tool that has good tracking performance and excellent compatibility. The greater the number of subcarriers, the more navigation services and the higher the navigation data rate. The CCE-OMBOC can be used in next-generation GNSS and integrated communication and navigation systems. Full article
(This article belongs to the Special Issue Satellite Navigation and Signal Processing (Second Edition))
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<p>The constellation for original, clipped OMBOC and CCE-OMBOC. (<b>a</b>) OMBOC(3: 1: 1, 1); (<b>b</b>) OMBOC(4: 1: 1, 1).</p>
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<p>Comparison of the theoretical and simulation correlations <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mrow> <mi>o</mi> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mo>,</mo> <mi>c</mi> <mi>l</mi> <mi>i</mi> <mi>p</mi> </mrow> </msub> <mfenced open="(" close=")"> <mi>τ</mi> </mfenced> </mrow> </semantics></math> of the CCE-OMBOC and original OMBOC<math display="inline"><semantics> <mrow> <mo>(</mo> <msub> <mi>α</mi> <mi>K</mi> </msub> <mo>:</mo> <mn>1</mn> <mo>:</mo> <mn>1</mn> <mo>,</mo> <mn>1</mn> <mo>)</mo> </mrow> </semantics></math>. The theoretical and simulation results are consistent.</p>
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<p>The amplitude CCDFs of OMBOCs with different numbers of subcarriers.</p>
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<p>The effect of the clipping level <span class="html-italic">T</span> on the efficiency: (<b>a</b>) transmission efficiency; (<b>b</b>) multiplexing efficiency.</p>
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<p>CCE-OMBOC enhances the efficiency for any number of subcarriers: (<b>a</b>) Transmission efficiency; (<b>b</b>) Multiplexing efficiency.</p>
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<p>Effect of the sampling rate: (<b>a</b>) CCF; (<b>b</b>) PSD.</p>
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<p>Comparison of multiplexing efficiency for different numbers of subcarriers.</p>
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<p>Comparison of amplitude-normalized constellations for different modulations: original OMBOC, CCE-OMBOC, and CEMIC.</p>
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<p>The LUT size and optimization time with different numbers of subcarriers.</p>
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<p>Comparison of different modulations. (<b>a</b>) Normalized CCFs. (<b>b</b>) Normalized PSDs.</p>
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<p>The time-frequency characteristics of the CCE-OMBOC and MV for unmatched reception. (<b>a</b>) PSD of the CCE-OMBOC and its subcarrier. (<b>b</b>) PSD of the MV and its subcarrier. (<b>c</b>) The CCF of the CCE-OMBOC and its subcarrier. (<b>d</b>) The CCF of MV and its subcarrier.</p>
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<p>The sampling rate and number of signal components vary with the number of subcarriers.</p>
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24 pages, 14320 KiB  
Article
Localized Bearing Fault Analysis for Different Induction Machine Start-Up Modes via Vibration Time–Frequency Envelope Spectrum
by Jose E. Ruiz-Sarrio, Jose A. Antonino-Daviu and Claudia Martis
Sensors 2024, 24(21), 6935; https://doi.org/10.3390/s24216935 - 29 Oct 2024
Viewed by 497
Abstract
Bearings are the most vulnerable component in low-voltage induction motors from a maintenance standpoint. Vibration monitoring is the benchmark technique for identifying mechanical faults in rotating machinery, including the diagnosis of bearing defects. The study of different bearing fault phenomena under induction motor [...] Read more.
Bearings are the most vulnerable component in low-voltage induction motors from a maintenance standpoint. Vibration monitoring is the benchmark technique for identifying mechanical faults in rotating machinery, including the diagnosis of bearing defects. The study of different bearing fault phenomena under induction motor transient conditions offers interesting capabilities to enhance classic fault detection techniques. This study analyzes the low-frequency localized bearing fault signatures in both the inner and outer races during the start-up and steady-state operation of inverter-fed and line-started induction motors. For this aim, the classic vibration envelope spectrum technique is explored in the time–frequency domain by using a simple, resampling-free, Short Time Fourier Transform (STFT) and a band-pass filtering stage. The vibration data are acquired in the motor housing in the radial direction for different load points. In addition, two different localized defect sizes are considered to explore the influence of the defect width. The analysis of extracted low-frequency characteristic frequencies conducted in this study demonstrates the feasibility of detecting early-stage localized bearing defects in induction motors across various operating conditions and actuation modes. Full article
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<p>(<b>a</b>) Expanded deep-groove ball bearings view, (<b>b</b>) bearing geometry including numbering of rolling elements (i.e., 1 to 9 numbers) and main dimensions.</p>
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<p>Defect ratio graphic description.</p>
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<p>Bearing defect vibration signal <math display="inline"><semantics> <mrow> <mi>x</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </semantics></math> and its envelope.</p>
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<p>Signal processing pipeline graphic description with an inner race defect example.</p>
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<p>Induction motor specimen cross-section.</p>
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<p>Test bench graphic description. (1) Induction machine including faulty bearing, (2) DC generator imposing constant resistant torque, (3) flexible coupling.</p>
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<p>Accelerometer locus description. (<b>a</b>) Vertical xy-plane, (<b>b</b>) horizontal xz-plane.</p>
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<p>Bearing defect description. (<b>a</b>) Healthy, (<b>a</b>) 0.5 mm inner race defect, (<b>c</b>) 1 mm inner race defect, (<b>d</b>) 0.5 mm outer race defect, (<b>e</b>) 1 mm outer race defect.</p>
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<p>Line-fed induction machine startup vibration signal at 12 o’clock for (<b>a</b>) rated line-to-line voltage, (<b>b</b>) 50% rated line-to-line voltage.</p>
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<p>Vibration envelope spectrum analysis acquired at 12 o’clock position at rated slip, (<b>a</b>) healthy, (<b>b</b>) 0.5 mm outer race defect, (<b>c</b>) 1 mm outer race defect, (<b>d</b>) 0.5 mm inner race defect, (<b>e</b>) 1 mm inner race defect.</p>
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<p>Vibration amplitude comparison among two defect widths. Signals acquired at 12 o’clock at rated slip. (<b>a</b>) Outer race defects, (<b>b</b>) inner race defects.</p>
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<p>Healthy bearing at rated slip, (<b>a</b>) line-started 100% rated voltage, (<b>b</b>) line-started 50% rated voltage, (<b>c</b>) VFD-fed 20 s ramp, (<b>d</b>) VFD-fed 5 s ramp.</p>
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<p>Outer race 0.5 mm defect at rated slip, (<b>a</b>) line-started 100% rated voltage, (<b>b</b>) line-started 50% rated voltage, (<b>c</b>) VFD-fed 20 s ramp, (<b>d</b>) VFD-fed 5 s ramp.</p>
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<p>Outer race 1 mm defect at rated slip, (<b>a</b>) line-started 100% rated voltage, (<b>b</b>) line-started 50% rated voltage, (<b>c</b>) VFD-fed 20 s ramp, (<b>d</b>) VFD-fed 5 s ramp.</p>
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<p>Inner race 0.5 mm defect at rated slip, (<b>a</b>) line-started 100% rated voltage, (<b>b</b>) line-started 50% rated voltage, (<b>c</b>) VFD-fed 20 s ramp, (<b>d</b>) VFD-fed 5 s ramp.</p>
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<p>Inner race 1 mm defect at rated slip, (<b>a</b>) line-started 100% rated voltage, (<b>b</b>) line-started 50% rated voltage, (<b>c</b>) VFD-fed 20 s ramp, (<b>d</b>) VFD-fed 5 s ramp.</p>
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<p>Load dependency steady-state analysis. (<b>a</b>) <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>B</mi> <mi>F</mi> <mi>O</mi> </mrow> </msub> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <mn>2</mn> <msub> <mi>f</mi> <mrow> <mi>B</mi> <mi>F</mi> <mi>O</mi> </mrow> </msub> </mrow> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>B</mi> <mi>F</mi> <mi>I</mi> </mrow> </msub> </semantics></math>, (<b>d</b>) <math display="inline"><semantics> <mrow> <mn>2</mn> <msub> <mi>f</mi> <mrow> <mi>B</mi> <mi>F</mi> <mi>I</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Load variation analysis during the line-started excitation mode at 50% rated line-to-line voltage. Vibration signals acquired at 12 o’clock. (<b>a</b>) Healthy bearing, (<b>b</b>) outer race 0.5 mm defect, (<b>c</b>) outer race 1 mm defect, (<b>d</b>) inner race 0.5 mm defect, (<b>e</b>) inner race 1 mm defect.</p>
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<p>Load variation analysis during the VFD-fed excitation mode with 20 s ramp duration. (<b>a</b>) Healthy, (<b>b</b>) outer race 0.5 mm defect, vibration signals acquired at 12 o’clock, (<b>c</b>) outer race 1 mm defect, (<b>d</b>) inner race 0.5 mm defect, (<b>e</b>) inner race 1 mm defect.</p>
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<p>HUST dataset experimental test bench description [<a href="#B53-sensors-24-06935" class="html-bibr">53</a>].</p>
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<p>VFD-fed start-ups for inner and outer race defects, (<b>a</b>) HUST dataset inner race defect, (<b>b</b>) custom dataset inner race defect, (<b>c</b>) HUST dataset outer race defect, (<b>d</b>) custom dataset outer race defect.</p>
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19 pages, 7873 KiB  
Article
Dual Antimicrobial Activity of HTCC and Its Nanoparticles: A Synergistic Approach for Antibacterial and Antiviral Applications Through Combined In Silico and In Vitro Studies
by Khanyisile S. Dhlamini, Cyril T. Selepe, Bathabile Ramalapa, Zamani Cele, Kanyane Malatji, Krishna K. Govender, Lesego Tshweu and Suprakas Sinha Ray
Polymers 2024, 16(21), 2999; https://doi.org/10.3390/polym16212999 - 25 Oct 2024
Viewed by 691
Abstract
N-(2-hydroxyl) propyl-3-trimethyl ammonium chitosan chloride (HTCC), a quaternized chitosan derivative, has been shown to exhibit a broad spectrum of antimicrobial activity, especially against bacteria and enveloped viruses. Despite this, molecular docking studies showing its atomic-level mechanisms against these microorganisms are scarce. Here, for [...] Read more.
N-(2-hydroxyl) propyl-3-trimethyl ammonium chitosan chloride (HTCC), a quaternized chitosan derivative, has been shown to exhibit a broad spectrum of antimicrobial activity, especially against bacteria and enveloped viruses. Despite this, molecular docking studies showing its atomic-level mechanisms against these microorganisms are scarce. Here, for the first time, we employed molecular docking analyses to investigate the potential antibacterial activity of HTCC against Staphylococcus aureus and its antiviral activity against human immunodeficiency virus 1 (HIV-1). According to the findings, HTCC exhibited promising antibacterial activity with high binding affinities; however, it had limited antiviral activity. To validate these theoretical outcomes, experimental studies were conducted. Different derivatives of HTCC were synthesized and characterized using NMR, XRD, FTIR, and DLS. The in vitro assays validated the potent antibacterial efficacy of HTCC against S. aureus, whereas the antiviral studies did not show good antiviral activity. However, our research also revealed a promising avenue for further exploration of the antimicrobial activity of HTCC nanoparticles (NPs), since, thus far, no studies have been conducted to show the antiviral activity of HTCC NPs against HIV-1. The nanosized HTCC exhibited superior antiviral performance compared to the parent polymers, with complete (100%) inhibition of HIV-1 viral activity at the highest tested concentration (0.33 mg/mL). Full article
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Graphical abstract

Graphical abstract
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<p>The optimized geometric structures of (<b>a</b>) chitosan and (<b>b</b>) HTCC-1 were calculated using M062X/6-311++G (d,p).</p>
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<p>Molecular electrostatic potential map of (<b>a</b>) chitosan, (<b>b</b>) GTMAC, and (<b>c</b>) HTCC-1.</p>
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<p>The 2D and 3D images of the ligands docked inside the <span class="html-italic">S. aureus</span> Lta pocket and their interactions: (<b>a</b>) Chitosan and (<b>b</b>) HTCC-1.</p>
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<p>The 2D and 3D images of the ligands docked inside the HIV-1 gp120 protein pocket and their interactions: (<b>a</b>) Chitosan and (<b>b</b>) HTCC-1.</p>
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<p>The RMSD plot of MD simulation trajectory obtained after 200 ns for (<b>a</b>) Chitosan–<span class="html-italic">S. aureus</span> complex, (<b>b</b>) HTCC–<span class="html-italic">S. aureus</span> complex, (<b>c</b>) Chitosan–HIV-1 complex, and (<b>d</b>) HTCC–HIV-1 complex.</p>
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<p>FTIR spectra of chitosan and HTCC derivatives.</p>
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<p><sup>1</sup>H NMR spectra of chitosan and HTCC derivatives in D<sub>2</sub>O.</p>
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<p>The formation of HTCC NPs through ionic crosslinking.</p>
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<p>HTCC NPs’ (<b>a</b>) size and PDI obtained with DLS (<b>b</b>,<b>b′</b>) TEM images. HTCC-3 NPs were used for TEM analysis because they were more stable and supported by a high zeta potential value (<a href="#polymers-16-02999-t001" class="html-table">Table 1</a>).</p>
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<p>The X-ray diffraction patterns of chitosan, HTCC derivatives, and HTCC NPs.</p>
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<p>The evaluation of the cationic HTCC derivatives’ and HTCC NPs’ cytotoxicity against TZM-bl-cells. The data shown represent the mean of three independent experiments, and error bars represent the mean ± standard deviation.</p>
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<p>Evaluation of the cationic HTCC derivatives’ and HTCC NPs’ inhibition against HIV-1 subtype C pseudovirus. The data shown represent the mean of three independent experiments, and error bars represent the mean ± standard deviation.</p>
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<p>Synthesis of cationic chitosan derivative HTCCs by reacting chitosan with GTMAC.</p>
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20 pages, 16406 KiB  
Article
Fault Diagnosis Method for Marine Electric Propulsion Systems Based on Zero-Crossing Tacholess Order Tracking
by Zhexiang Zou, Muquan Chen, Chao Yang, Chun Li, Dongqin Li, Fengshou Gu and Andrew D. Ball
J. Mar. Sci. Eng. 2024, 12(11), 1899; https://doi.org/10.3390/jmse12111899 - 23 Oct 2024
Viewed by 611
Abstract
In marine electric propulsion systems (MEPS) driven by variable-frequency drives, motor current signals often exhibit complex modulation components, ambiguous spectra, and severe noise interference, rendering it challenging to extract fault-related modulation components. To address this issue, we propose a zero-crossing tacholess order tracking [...] Read more.
In marine electric propulsion systems (MEPS) driven by variable-frequency drives, motor current signals often exhibit complex modulation components, ambiguous spectra, and severe noise interference, rendering it challenging to extract fault-related modulation components. To address this issue, we propose a zero-crossing tacholess order tracking method based on motor current signals. This method utilizes zero-crossing estimation of the instantaneous frequency to perform angular resampling of stator current signals and demodulates the envelope spectrum to extract fault characteristic spectra, enabling the diagnosis of mechanical faults in MEPS. Given the synchronization of the synchronous motor speed with the inverter fundamental frequency, this method estimates instantaneous frequencies in the time domain without requiring integration or time–frequency representation, which is simple and computationally efficient. Data validation on a small-scale marine electric propulsion test platform demonstrates that the proposed method exhibits good robustness under variable-speed conditions and effectively detects imbalance faults caused by propeller breakages and gear faults resulting from bevel gear tooth defects. Therefore, the proposed method can be applied to diagnose faults in downstream mechanical equipment driven by motors. Full article
(This article belongs to the Section Ocean Engineering)
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<p>Vector diagram of the current in a BLDC motor [<a href="#B23-jmse-12-01899" class="html-bibr">23</a>].</p>
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<p>Flow of the ZC-TLOT algorithm.</p>
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<p>IRF estimation based on ZC points.</p>
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<p>Current signal processing for IF estimation.</p>
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<p>Small-scale propulsion system.</p>
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<p>Experimental test equipment.</p>
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<p>Time-domain waveforms at different cruising speeds.</p>
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<p>Spectra at different cruising speeds. (<b>a</b>) Cruising speeds at low speed; (<b>b</b>) Cruising speeds at high speed.</p>
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<p>TFR and IRF estimation using the STFT.</p>
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<p>Estimation of instantaneous frequency at high speed.</p>
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<p>Estimation of instantaneous frequency over a wide rotation speed range.</p>
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<p>Gear fault simulation setup.</p>
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<p>RMS values of current at different speeds for gear fault detection.</p>
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<p>Resampled and normalized current spectra at different speeds.</p>
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<p>Resampled and normalized the current envelope spectra at different speeds.</p>
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<p>Propeller blade breakage.</p>
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<p>RMS values of current at different speeds for propeller fault detection.</p>
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<p>Resampled current envelope spectrum results.</p>
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<p>Comparison of characteristic frequency amplitude under healthy and propeller fault conditions.</p>
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19 pages, 11162 KiB  
Article
Intelligent Diagnosis of Bearing Failures Based on Recurrence Quantification and Energy Difference
by Mukai Wang, Tianfeng Wang, Duhui Lu and Shuhui Cui
Appl. Sci. 2024, 14(21), 9643; https://doi.org/10.3390/app14219643 - 22 Oct 2024
Viewed by 452
Abstract
Bearing health is key for maintaining good performance and safety in rotating machinery. As the diagnosis of mechanical faults develops toward intelligence and automation, accurate and systematic fault diagnosis algorithms are imperative. Focusing on the diagnosis of rolling bearing failures, this study utilizes [...] Read more.
Bearing health is key for maintaining good performance and safety in rotating machinery. As the diagnosis of mechanical faults develops toward intelligence and automation, accurate and systematic fault diagnosis algorithms are imperative. Focusing on the diagnosis of rolling bearing failures, this study utilizes a sliding time window to extract essential data segments. A series of signal processing techniques, including filtering, amplitude–frequency analysis, Hilbert envelope analysis, and energy analysis, is applied to establish a comprehensive dataset. For extraction of the hidden properties of the data, the recurrence quantity spectrum is defined for the input of the neural network. The goal is to obtain a cleaner dataset with enhanced features. A convolution neural network is constructed. Different activation functions in the activation layer are compared for better fault diagnosis algorithms. The established feature matrices are specifically defined to accurately identify the subtlest defects of bearings, thereby facilitating early detection. The proposed procedure distinguishes various fault modes. As for the multidimensional complexities of fault signals, this study carries out a comprehensive comparison of energies, recurrence quantification, and amplitude–frequency characteristics of bearing fault detection to assess the accuracy, computational efficiency, and robustness of bearing fault diagnosis. The proposed method and bearing fault detection procedures have potential in practical applications. Full article
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<p>Comparison between the filtered signals and the original signals (the blue line is the original signal, and the red line is the filtered signal). (<b>a</b>) Filter contrast 1; (<b>b</b>) filter contrast 2.</p>
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<p>Sinusoidal signals and their recurrence plots. (<b>a</b>) Sinusoidal signal; (<b>b</b>) recurrence plot of sinusoid signals.</p>
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<p>Lorentz signals and their recurrence plots. (<b>a</b>) Lorentz signal; (<b>b</b>) recurrence plot of Lorentz signals.</p>
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<p>Bearing failure experiment at CWRU [<a href="#B18-applsci-14-09643" class="html-bibr">18</a>].</p>
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<p>Diagram of inner race fault signal envelope.</p>
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<p>Amplitude-frequency diagram of inner race fault signal envelope.</p>
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<p>Amplitude–frequency diagram of inner race fault signal envelope (first 1000 Hz).</p>
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<p>Diagram of outer race fault signal envelope.</p>
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<p>Amplitude–frequency diagram of outer race fault signal envelope.</p>
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<p>Amplitude–frequency diagram of outer race fault signal envelope (first 1000 Hz).</p>
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<p>Diagram of rolling element fault signal envelope.</p>
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<p>Amplitude–frequency diagram of rolling element fault signal envelope.</p>
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<p>Amplitude–frequency diagram of rolling element fault signal envelope (first 1000 Hz).</p>
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<p>Diagram of normal signal envelope.</p>
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<p>Amplitude–frequency diagram of normal signal envelope.</p>
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<p>Amplitude–frequency diagram of normal signal envelope (first 1000 Hz).</p>
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<p>Visualization of data energy characteristics. (<b>a</b>) Inner race fault characteristics; (<b>b</b>) outer race fault characteristics; (<b>c</b>) fault characteristics of rolling elements; (<b>d</b>) normal features (different colors refer to different values as shown in <a href="#applsci-14-09643-t002" class="html-table">Table 2</a>).</p>
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<p>Visualization of data energy characteristics. (<b>a</b>) Inner race fault characteristics; (<b>b</b>) outer race fault characteristics; (<b>c</b>) fault characteristics of rolling elements; (<b>d</b>) normal features (different colors refer to different values as shown in <a href="#applsci-14-09643-t002" class="html-table">Table 2</a>).</p>
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<p>Example of a convolutional neural network structure.</p>
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<p>Three types of activation functions.</p>
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<p>Example of pooling operation.</p>
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<p>Curves of loss and accuracy. (<b>a</b>) Curves of loss; (<b>b</b>) curve of accuracy.</p>
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<p>Confusion matrix of Data Energy Features.</p>
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<p>Confusion matrices of Data Energy Features generated for the new test set. (<b>a</b>) New confusion matrix 1; (<b>b</b>) new confusion matrix 2.</p>
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<p>Curves of loss and accuracy. (<b>a</b>) Curves of loss, (<b>b</b>) Curve of accuracy.</p>
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<p>Confusion matrix of Recurrence Features.</p>
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<p>Confusion matrices generated for the new test set. (<b>a</b>) New confusion matrix 1; (<b>b</b>) new confusion matrix 2.</p>
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<p>Comparison of accuracy rates for two models.</p>
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12 pages, 3471 KiB  
Article
Erbium-Doped Tunable Fiber Laser Based on a Vernier Effect Filter
by Yuanzhen Liu, Hailong Xu, Kexin Zhu, Yicun Yao, Yuman Suo and Liqiang Zhang
Photonics 2024, 11(10), 979; https://doi.org/10.3390/photonics11100979 - 18 Oct 2024
Viewed by 445
Abstract
A novel vernier effect filter is designed utilizing two cascaded Mach–Zehnder interferometers (MZIs). Integrating the filter into an erbium-doped fiber laser (EDFL), the tunability of laser wavelength is achieved. Each MZI comprises two sequentially interconnected 3 dB optical couplers (OCs), where the incoming [...] Read more.
A novel vernier effect filter is designed utilizing two cascaded Mach–Zehnder interferometers (MZIs). Integrating the filter into an erbium-doped fiber laser (EDFL), the tunability of laser wavelength is achieved. Each MZI comprises two sequentially interconnected 3 dB optical couplers (OCs), where the incoming light is initially split into two arms at the first OC and subsequently recombined at the second OC. Interference occurs due to the optical path difference between these two beams. Notably, the two MZIs exhibit closely matched free spectral ranges (FSRs), leading to the formation of a broadened envelope in the superimposed spectrum. By delicately adjusting the optical path difference between the two arms of one MZI, a little drift of the interference spectrum is induced. This small amount of drift, in turn, triggers a significant movement of the envelope, giving rise to the so-called vernier effect. Integrating the vernier effect filter into an EDFL, the wavelength of the fiber laser can be tuned from 1542.56 nm to 1556.62 nm, with a tuning range of 14.06 nm. Furthermore, by employing a high-precision stepper motor, a remarkable tuning accuracy of 0.01 nm is attainable. The side mode suppression ratio of all wavelengths is above 55 dB. In comparison to reported tunable fiber lasers utilizing MZI filters, the proposed fiber laser in this study offers enhanced precision and a more user-friendly tuning process. Full article
(This article belongs to the Special Issue Cutting-Edge Developments in Fiber Laser)
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<p>Schematic diagram of the vernier effect filter.</p>
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<p>Transmission curves of MZI1 (<b>a1</b>,<b>b1</b>) and MZI2 (<b>a2</b>,<b>b2</b>), and their superimposed transmission curve (<b>a3</b>,<b>b3</b>) with different FSRs.</p>
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<p>(<b>a</b>) Variation in the peak wavelength of the envelope when the optical path difference of MZI2 is adjusted in increments of 128 nm. (<b>b</b>) Drift in the peak wavelength of the envelope when the optical path difference of MZI2 is adjusted in increments of 8 nm. (<b>c</b>) Variation in the peak wavelength of the envelope when the optical path difference of MZI1 is adjusted in increments of 128 nm.</p>
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<p>(<b>a</b>) Transmission spectrum of MZI2. (<b>b</b>) Transmission spectrum of MZI1. (<b>c</b>) Superimposed spectrum of MZI1 and MZI2. (<b>d</b>) Shift in the superimposed spectrum when one arm of MZI2 is stretched.</p>
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<p>Schematic diagram of the wavelength-tunable EDFL.</p>
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<p>(<b>a</b>) Laser spectra with the increase in pump power. (<b>b</b>) Gain spectra of the Er-doped fiber.</p>
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<p>(<b>a</b>) Spectra of the EDFL with different peak wavelengths. (<b>b</b>) Dependence of the peak wavelength of the EDFL on stretching amount.</p>
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<p>(<b>a</b>) Spectra of the EDFL with a high tuning accuracy of 0.01 nm. (<b>b</b>) Details of the tunable wavelength.</p>
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<p>(<b>a</b>) Dual-wavelength output spectrum at 1542.63 nm and 1544.85 nm. (<b>b</b>) Dual-wavelength output spectrum at 1554.39 nm and 1556.65 nm.</p>
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<p>(<b>a</b>) Wavelength shift during first stretching and retracting of MZI2. (<b>b</b>) Wavelength shift during second stretching and retracting of MZI2.</p>
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<p>(<b>a</b>) Wavelength shifts and power fluctuation in the hour before stretching. (<b>b</b>) Wavelength shifts and power fluctuation in the hour after stretching.</p>
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10 pages, 1248 KiB  
Article
A Power Law Reconstruction of Ultrasound Backscatter Images
by Kevin J. Parker
Acoustics 2024, 6(3), 782-791; https://doi.org/10.3390/acoustics6030043 - 31 Aug 2024
Viewed by 1093
Abstract
Ultrasound B-scan images are traditionally formed from the envelope of the received radiofrequency echoes, but the image texture is dominated by granular speckle patterns. Longstanding efforts at speckle reduction and deconvolution have been developed to lessen the detrimental aspects of speckle. However, we [...] Read more.
Ultrasound B-scan images are traditionally formed from the envelope of the received radiofrequency echoes, but the image texture is dominated by granular speckle patterns. Longstanding efforts at speckle reduction and deconvolution have been developed to lessen the detrimental aspects of speckle. However, we now propose an alternative approach to estimation (and image rendering) of the underlying fine grain scattering density of tissues based on power law constraints. The key steps are a whitening of the spectrum of the received signal while conforming to the original envelope shape and statistics, followed by a power law filtering in accordance with the known scattering behavior of tissues. This multiple step approach results in a high-spatial-resolution map of scattering density that is constrained by the most important properties of scattering from tissues. Examples from in vivo liver scans are shown to illustrate the change in image properties from this framework. Full article
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<p>(<b>a</b>) Conventional B-scan at 15 MHz from a control group rat liver, in vivo. (<b>b</b>) Constrained reconstruction from power law principles, which we call “thru-scan”, demonstrating a modified texture across the liver interior and the emergence of specific hyperechoic points, many of which appear coincident with the local maxima of the original envelope. The images are displayed conventionally using log-compressed 50 dB dynamic range grayscale.</p>
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<p>(<b>a</b>) Conventional B-scan at 15 MHz from a diet-induced steatotic mouse liver, in vivo. (<b>b</b>) constrained reconstruction from power law principles, which we call “thru-scan”, demonstrating a modified background and the emergence of specific hyperechoic points. The images are displayed conventionally using log-compressed 50 dB dynamic range grayscale.</p>
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<p>(<b>a</b>) Scattering structure of vasculature within a liver, represented simply as a binary image with an image scale of approximately 1 cm square. (<b>b</b>) Echo pattern from a high-frequency (wavelength approximately 50 microns) scan, simulated using 2D convolution of a pulse with the binary structure of (<b>a</b>). (<b>c</b>) The top 20% of the amplitudes, the hyperechoic regions (only the top quintile of amplitudes), are superimposed on the vascular tree showing the pattern of high scattering from laterally oriented cylinders. (<b>d</b>) Top 20% of amplitudes of the thru-scan reconstruction from a lower-frequency scan (wavelength approximately 100 microns). The thru-scan reconstruction has numerous hyperechoic areas that correspond to structures highlighted at the 2× higher frequency shown in (<b>c</b>). Vascular tree reproduced with permission [<a href="#B21-acoustics-06-00043" class="html-bibr">21</a>].</p>
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<p>Representation of the half planes of the transform (k-space). The horizontal scale is the transform of the horizontal axes (<math display="inline"><semantics> <mrow> <mo>−</mo> <mrow> <mrow> <mi>π</mi> </mrow> <mo>/</mo> <mrow> <mn>2</mn> </mrow> </mrow> </mrow> </semantics></math> to <math display="inline"><semantics> <mrow> <mrow> <mrow> <mi>π</mi> </mrow> <mo>/</mo> <mrow> <mn>2</mn> </mrow> </mrow> </mrow> </semantics></math>), and the vertical scale represents the transform of the vertical axis of <a href="#acoustics-06-00043-f0A1" class="html-fig">Figure A1</a>a (0 to <math display="inline"><semantics> <mrow> <mrow> <mrow> <mi>π</mi> </mrow> <mo>/</mo> <mrow> <mn>2</mn> </mrow> </mrow> </mrow> </semantics></math>) in discrete frequency units. Zero frequency is located in the middle of the lower horizontal axis in each case, and the color scale for magnitudes is dark to white (the maximum normalized value is shown in white). (<b>a</b>) Magnitude of the spatial Fourier transform of the binary scattering pattern of <a href="#acoustics-06-00043-f0A1" class="html-fig">Figure A1</a>a. (<b>b</b>) Support of the pulse used as the model of the ultrasound pulse echo convolution. (<b>c</b>) Product of (<b>a</b>,<b>b</b>), representing the transform of the RF echo produced by convolution. Comparing (<b>a</b>–<b>c</b>), the loss of information across k-space is significant and unrecoverable by traditional means. (<b>d</b>) Transform after the power law constrained reconstruction. This solution is not exact or unique but conforms to the most important constraints, the echo amplitude, and the power law nature of the scattering structures.</p>
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<p>(<b>a</b>) Axis symmetric rho filter along the transverse axis. The filter is implemented as a 2D convolution kernel of 25 × 25 pixels. (<b>b</b>) Magnitude of the discrete time Fourier transform of this 2D filter, showing the half plane of k-space. This filter is designed to enforce a power law behavior on the scatterers and have zero amplitude at zero frequency. To condition the high frequencies and smooth the periodic replication in discrete frequency space, the function flattens at the highest spatial frequencies.</p>
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16 pages, 12528 KiB  
Article
A Ground-Penetrating Radar-Based Study of the Structure and Moisture Content of Complex Reconfigured Soils
by Yunlan He, Lulu Fang, Suping Peng, Wen Liu and Changhao Cui
Water 2024, 16(16), 2332; https://doi.org/10.3390/w16162332 - 19 Aug 2024
Viewed by 936
Abstract
To increase the detection accuracy of soil structure and moisture content in reconstituted soils under complex conditions, this study utilizes a 400 MHz ground-penetrating radar (GPR) to examine a study area consisting of loess, sandy loam, red clay, and mixed soil. The research [...] Read more.
To increase the detection accuracy of soil structure and moisture content in reconstituted soils under complex conditions, this study utilizes a 400 MHz ground-penetrating radar (GPR) to examine a study area consisting of loess, sandy loam, red clay, and mixed soil. The research involves analyzing the single-channel waveforms and two-dimensional images of GPR, preprocessing the data, obtaining envelope information via amplitude envelope detection, and performing a Hilbert transformation. This study employs a least squares fitting approach to the instantaneous phase envelope to ascertain the thickness of various soil layers. By utilizing the average envelope amplitude (AEA) method, a correlation between the radar’s early signal amplitude envelope and the soil’s shallow dielectric constant is established to invert the moisture content of the soil. The analysis integrates soil structure and moisture distribution data to investigate soil structure characteristics and moisture content performance under diverse soil properties and depths. The findings indicate that the envelope detection method effectively identifies stratification boundaries across different soil types; the AEA method is particularly efficacious in inverting the moisture content of reconstituted soils up to 3 m deep, with an average relative error ranging from 2.81% to 7.41%. Notably, moisture content variations in stratified reconstituted soils are more pronounced than those in mixed soil areas, displaying a marked stepwise increase with depth. The moisture content trends in the vertical direction of the same soil profile are generally consistent. This research offers a novel approach to studying reconstituted soils under complex conditions, confirming the viability of the envelope detection and AEA methods for intricate soil investigations and broadening the application spectrum of GPR in soil studies. Full article
(This article belongs to the Special Issue Innovative Technologies for Mine Water Treatment)
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<p>Topographic and geomorphological map of Zhungeer Banner. The five-pointed star is the location of the study area.</p>
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<p>Schematic diagram of the soil profile in the research area. A, B refer to Study Zone A and Study Zone B, respectively.</p>
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<p>Layout plan of the radar survey lines in the research area. A, B refer to Study Zone A and Study Zone B; L1–L6 refers to the ground-penetrating radar wiring for radar detection.</p>
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<p>AEA method flowchart.</p>
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<p>Two-dimensional raw images of ground penetrating radar. (<b>a</b>) Unprocessed two-dimensional image of ground-penetrating radar; (<b>b</b>) Preprocessed two-dimensional image of ground-penetrating radar.</p>
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<p>Envelope analysis curves. (<b>a</b>) Envelope line of the mixed reconstruction soil area in Zone A; (<b>b</b>) Envelope line of the three-layer reconstruction soil area in Zone B.</p>
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<p>Envelope instantaneous phase fitting curve and convex-concave inflection point graph. (<b>a</b>) Envelope instantaneous phase fitting curve and convex-concave inflection point in Zone A; (<b>b</b>) Envelope instantaneous phase fitting curve and convex-concave inflection point in Zone B.</p>
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<p>Hilbert-Huang transform graph. (<b>a</b>) Hilbert-Huang transform graph in Zone A; (<b>b</b>) Hilbert-Huang transform graph in Zone B.</p>
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<p>Fitting graph of the permittivity and reciprocal of the radar signal envelope value.</p>
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<p>Fitting graph of moisture content and radar amplitude.</p>
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<p>Comparison chart of the moisture content between the AEA and drying methods in the N-S direction in Zone A: (<b>a</b>) Comparison of the moisture content between the AEA and drying methods in the upper part of Zone A; (<b>b</b>) Comparison of the moisture content between the AEA and drying methods in the bottom part of Zone A.</p>
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<p>Comparison chart of the moisture content between the AEA and drying methods in the N-S direction of Zone B: (<b>a</b>) Comparison of the moisture content between the AEA and drying methods in the upper part of Zone B; (<b>b</b>) Comparison of the moisture content between the AEA and the drying methods in the bottom part of Zone B.</p>
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<p>Comparison chart of the moisture content trends of AEA in Zone A. (<b>a</b>) Comparison of the moisture content trends of AEA in the N-S direction in Zone A; (<b>b</b>) Comparison of the moisture content trends of AEA in the E-W direction in Zone A.</p>
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<p>Comparison chart of the moisture content trends of AEA in Zone B. (<b>a</b>) Comparison of the moisture content trends of AEA in the N-S direction in Zone B; (<b>b</b>) Comparison of the moisture content trends of AEA in the E-W direction in Zone B.</p>
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15 pages, 2381 KiB  
Article
A Compact MIMO Rectangular Dielectric Resonator Antenna for Millimeter-Wave Communication
by Erendira Merlos-Garza, Zia U. Khan and Salam K. Khamas
Electronics 2024, 13(16), 3280; https://doi.org/10.3390/electronics13163280 - 19 Aug 2024
Viewed by 777
Abstract
A Rectangular Dielectric Resonator Antenna (RDRA) design for mmWave-frequency-band MIMO metrics is proposed, with a compact, low-complexity, high-gain structure that is easy to fabricate and offers reduced inter–port isolation. The RDRA operates in the mmWave spectrum, featuring a compact size of 1.307 [...] Read more.
A Rectangular Dielectric Resonator Antenna (RDRA) design for mmWave-frequency-band MIMO metrics is proposed, with a compact, low-complexity, high-gain structure that is easy to fabricate and offers reduced inter–port isolation. The RDRA operates in the mmWave spectrum, featuring a compact size of 1.307λ0 × 1.307λ0, an impedance bandwidth of 6%, and a resonant frequency of 28 GHz, with a peak gain of 7 dBi. A four element MIMO system iteration was developed while maintaining the performance of the single element antenna. Additionally, a simple, low-complexity slot-etching technique was applied to achieve an average inter-port element isolation of 14 dB. The design also achieved a novel four-beam petal-splitting radiation pattern. The MIMO metrics, with an envelope correlation coefficient (ECC) of <0.5 and a diversity gain (DG) < 10, were successfully met. The simulated and measured results are in good agreement. Full article
(This article belongs to the Special Issue 5G Mobile Telecommunication Systems and Recent Advances)
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<p>Propagation modes inside an RDRA.</p>
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<p>(<b>a</b>) RDRA general structure in layers. (<b>b</b>) Top view of the slot aperture.</p>
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<p>(<b>a</b>) Four port MIMO design, side view. (<b>b</b>) Four port MIMO design, top view.</p>
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<p>Experimental scenario for S-parameters.</p>
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<p>mmWave chamber experimental scenario.</p>
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<p><math display="inline"><semantics> <msub> <mi>S</mi> <mn>11</mn> </msub> </semantics></math> of the single RDRA element design illustrated in <a href="#electronics-13-03280-f002" class="html-fig">Figure 2</a>a.</p>
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<p>Magnetic field distribution inside the single RDRA <math display="inline"><semantics> <mrow> <mi>T</mi> <msub> <mi>E</mi> <mn>111</mn> </msub> </mrow> </semantics></math> at 28 GHz on the <span class="html-italic">yz</span> plane.</p>
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<p>Single element radiation pattern at (<b>a</b>) <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math> = 0° and (<b>b</b>) <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math> = 90°.</p>
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<p>Single element RDRA gain.</p>
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<p>Scattering parameters when port 1 is fed. (<b>a</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>11</mn> </msub> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>12</mn> </msub> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>13</mn> </msub> </semantics></math>, and (<b>d</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>14</mn> </msub> </semantics></math>.</p>
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<p>Scattering parameters when port 2 is fed. (<b>a</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>21</mn> </msub> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>22</mn> </msub> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>23</mn> </msub> </semantics></math>, and (<b>d</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>24</mn> </msub> </semantics></math>.</p>
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<p>Scattering parameters when port 3 is fed. (<b>a</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>31</mn> </msub> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>32</mn> </msub> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>33</mn> </msub> </semantics></math>, and (<b>d</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>34</mn> </msub> </semantics></math>.</p>
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<p>Scattering parameters when port 4 is fed. (<b>a</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>41</mn> </msub> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>42</mn> </msub> </semantics></math>, (<b>c</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>43</mn> </msub> </semantics></math>, and (<b>d</b>) <math display="inline"><semantics> <msub> <mi>S</mi> <mn>44</mn> </msub> </semantics></math>.</p>
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<p>Four element MIMO normalized radiation pattern at (<b>a</b>) <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math> = 0° and (<b>b</b>) <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math> = 90°.</p>
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<p>MIMO four-beam realized gain at (<b>a</b>) <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math> = 15°, (<b>b</b>) <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math> = 90°, (<b>c</b>) <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math> = −75°, and (<b>d</b>) <math display="inline"><semantics> <mi>ϕ</mi> </semantics></math> = −173° at <math display="inline"><semantics> <mi>θ</mi> </semantics></math> = 32°.</p>
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<p>Measured 3D radiation pattern for the 4-element MIMO system design illustrated in <a href="#electronics-13-03280-f003" class="html-fig">Figure 3</a>.</p>
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<p>(<b>a</b>) Simulated and (<b>b</b>) measured ECC for MIMO.</p>
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<p>(<b>a</b>) Simulated and (<b>b</b>) measured DG for MIMO.</p>
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15 pages, 10099 KiB  
Article
Separation and Extraction of Compound-Fault Signal Based on Multi-Constraint Non-Negative Matrix Factorization
by Mengyang Wang, Wenbao Zhang, Mingzhen Shao and Guang Wang
Entropy 2024, 26(7), 583; https://doi.org/10.3390/e26070583 - 9 Jul 2024
Viewed by 591
Abstract
To solve the separation of multi-source signals and detect their features from a single channel, a signal separation method using multi-constraint non-negative matrix factorization (NMF) is proposed. In view of the existing NMF algorithm not performing well in the underdetermined blind source separation, [...] Read more.
To solve the separation of multi-source signals and detect their features from a single channel, a signal separation method using multi-constraint non-negative matrix factorization (NMF) is proposed. In view of the existing NMF algorithm not performing well in the underdetermined blind source separation, the β-divergence constraints and determinant constraints are introduced in the NMF algorithm, which can enhance local feature information and reduce redundant components by constraining the objective function. In addition, the Sine-bell window function is selected as the processing method for short-time Fourier transform (STFT), and it can preserve the overall feature distribution of the original signal. The original vibration signal is first transformed into time–frequency domain with the STFT, which describes the local characteristic of the signal from the time–frequency distribution. Then, the multi-constraint NMF is applied to reduce the dimensionality of the data and separate feature components in the low dimensional space. Meanwhile, the parameter WK is constructed to filter the reconstructed signal that recombined with the feature component in the time domain. Ultimately, the separated signals will be subjected to envelope spectrum analysis to detect fault features. The simulated and experimental results indicate the effectiveness of the proposed approach, which can realize the separation of multi-source signals and their fault diagnosis of bearings. In addition, it is also confirmed that the proposed method, juxtaposed with the NMF algorithm of the traditional objective function, is more applicable for compound fault diagnosis of the rotating machinery. Full article
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<p>The model of the NMF algorithm.</p>
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<p>Example of Sine-bell window: (<b>a</b>) time-domain waveform; (<b>b</b>) the spectrum.</p>
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<p>The flowchart of the proposed method.</p>
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<p>The simulated signal: (<b>a</b>) time-domain waveform; (<b>b</b>) the envelope spectrum.</p>
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<p>Time–frequency distribution of the simulated signal.</p>
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<p>Envelope spectra of separated signal: (<b>a</b>) the signal <b><span class="html-italic">s</span><sub>1</sub></b>; (<b>b</b>) the signal <b><span class="html-italic">s</span><sub>2</sub></b>.</p>
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<p>The experimental platform and fault bearing of simulation experiment: (<b>a</b>) experiment platform; (<b>b</b>) fault bearing.</p>
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<p>The signal of compound faults at 1300 rpm: (<b>a</b>) time-domain waveform; (<b>b</b>) the envelope spectrum.</p>
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<p>Time–frequency distribution of the collected signal at 1300 rpm.</p>
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<p>Envelope spectra of separated signals with the proposed method at 1300 rpm: (<b>a</b>) Envelope spectrum of outer-race fault; (<b>b</b>) envelope spectrum of roller fault.</p>
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<p>The signal of compound faults at 900 rpm: (<b>a</b>) time-domain waveform; (<b>b</b>) the envelope spectrum.</p>
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<p>Time–frequency distribution of the collected signal at 900 rpm.</p>
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<p>Envelope spectra of separated signals with the proposed method at 900 rpm: (<b>a</b>) Envelope spectrum of outer-race fault; (<b>b</b>) envelope spectrum of roller fault.</p>
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<p>Envelope spectra of separated signals with the β-divergence method: (<b>a</b>) Envelope spectrum of <span class="html-italic">f</span><sub>1</sub>; (<b>b</b>) envelope spectrums of <span class="html-italic">f</span><sub>2</sub>.</p>
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<p>Envelope spectra of separated signals with the KL-divergence method: (<b>a</b>) Envelope spectrum of <span class="html-italic">f</span><sub>1</sub>; (<b>b</b>) envelope spectrums of <span class="html-italic">f</span><sub>2</sub>.</p>
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16 pages, 3035 KiB  
Article
Simulation of Strong Earthquake Ground Motions Based on the Phase Derivative
by Yanqiong Ding, Yazhou Xu and Huiquan Miao
Buildings 2024, 14(7), 2048; https://doi.org/10.3390/buildings14072048 - 4 Jul 2024
Viewed by 735
Abstract
A physical method for modeling the phase spectrum of earthquake ground motion is derived by defining relationships between the envelope delay and Fourier amplitude. In this method, two parameters with clear physical meanings, namely the median arrival time and strong shock duration, are [...] Read more.
A physical method for modeling the phase spectrum of earthquake ground motion is derived by defining relationships between the envelope delay and Fourier amplitude. In this method, two parameters with clear physical meanings, namely the median arrival time and strong shock duration, are introduced. These parameters provide a logical basis for modeling the phase spectrum in a physical sense. A simulation method for earthquake ground motions is introduced, based on a physical amplitude model and the proposed method for modeling the phase spectrum. To investigate the physical meaning of the phase spectrum of earthquake ground motion and to be used for simulating earthquake ground motions, two techniques based on the discrete Fourier transform (DFT) and the continuous Fourier transform (CFT) are employed to calculate the envelope delay. It is demonstrated that when using the DFT, the range of envelope delays is dependent on the duration of the earthquake ground motion, and the range of envelope delays corresponding to peak amplitudes is dependent on the time span of the strong shock in ground motions. This dependency is not observed with the CFT. The proposed simulation method for earthquake ground motions was used to regenerate two recorded earthquake acceleration time histories. Numerical results demonstrate that this method can accurately reproduce the main characteristics of strong earthquake ground motion recordings. Full article
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<p>Fourier amplitude spectra of the two accelerograms used in the numerical experiment.</p>
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<p>Acceleration time histories. <b>Top</b>: Northridge-01 accelerogram; <b>Middle</b>: generated acceleration time history composed of the amplitude and phase spectra of the Northridge-01 and Parkfield-02, CA accelerograms, respectively; <b>Bottom</b>: Parkfield-02, CA accelerogram.</p>
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<p>Acceleration time histories. Parkfield-02, CA accelerogram and generated acceleration time history composed of the amplitude and phase spectra of the Northridge-01 and Parkfield-02, CA accelerograms, respectively.</p>
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<p>Acceleration time histories. Northridge-01 accelerogram and the generated acceleration time history composed of the amplitude and phase spectra of the Parkfield-02, CA and Northridge-01 accelerograms, respectively.</p>
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<p>Envelope delays of ground acceleration records with different durations.</p>
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<p>Relative errors <math display="inline"><semantics> <mrow> <msub> <mi>δ</mi> <mi>T</mi> </msub> </mrow> </semantics></math> of the largest envelope delays and the total durations for all of the 7778 earthquake ground motions.</p>
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<p>Three typical accelerograms and their scatter diagrams of the envelope delays and Fourier amplitudes, with the largest <math display="inline"><semantics> <mrow> <msub> <mi>δ</mi> <mi>T</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Determination of envelope delay based on Fourier amplitudes.</p>
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<p>Statistical histogram of <math display="inline"><semantics> <mrow> <msub> <mi>T</mi> <mrow> <mi>s</mi> <mi>s</mi> </mrow> </msub> <mo>/</mo> <mi>T</mi> </mrow> </semantics></math> for 7778 earthquake ground motions.</p>
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<p>Standard normal distribution curve.</p>
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<p>Ground motion accelerograms and the corresponding simulated accelerations.</p>
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<p>Acceleration response spectrum of records and simulations (damping ratio 5%).</p>
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