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35 pages, 8025 KiB  
Article
An ADCP Attitude Dynamic Errors Correction Method Based on Angular Velocity Tensor and Radius Vector Estimation
by Zhaowen Sun, Shuai Yao, Ning Gao and Ke Zhang
J. Mar. Sci. Eng. 2024, 12(11), 2018; https://doi.org/10.3390/jmse12112018 - 8 Nov 2024
Viewed by 293
Abstract
An acoustic Doppler current profiler (ADCP) installed on a platform produces rotational tangential velocity as a result of variations in the platform’s attitude, with both the tangential velocity and radial orientation varying between each pulse’s transmission and reception by the transducer. These factors [...] Read more.
An acoustic Doppler current profiler (ADCP) installed on a platform produces rotational tangential velocity as a result of variations in the platform’s attitude, with both the tangential velocity and radial orientation varying between each pulse’s transmission and reception by the transducer. These factors introduce errors into the measurements of vessel velocity and flow velocity. In this study, we address the errors induced by dynamic factors related to variations in attitude and propose an ADCP attitude dynamic error correction method based on angular velocity tensor and radius vector estimation. This method utilizes a low-sampling-rate inclinometer and compass data and estimates the angular velocity tensor based on a physical model of vessel motion combined with nonlinear least-squares estimation. The angular velocity tensor is then used to estimate the transducers’ radius vectors. Finally, the radius vectors are employed to correct the instantaneous tangential velocity within the measured velocities of the vessel and flow. To verify the effectiveness of the proposed method, field tests were conducted in a water pool. The results demonstrate that the proposed method surpasses the attitude static correction approach. In comparison with the ASC method, the average relative error in vessel velocity during free-swaying movement decreased by 20.94%, while the relative standard deviation of the error was reduced by 17.38%. Full article
(This article belongs to the Section Ocean Engineering)
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<p>The Earth coordinate system <math display="inline"><semantics> <mrow> <mi>O</mi> <mi>x</mi> <mi>y</mi> <mi>z</mi> </mrow> </semantics></math>, the vessel (body-fixed) coordinate system <math display="inline"><semantics> <mrow> <mi>G</mi> <msub> <mi>x</mi> <mi>b</mi> </msub> <msub> <mi>y</mi> <mi>b</mi> </msub> <msub> <mi>z</mi> <mi>b</mi> </msub> </mrow> </semantics></math>, and the transducer coordinate system <math display="inline"><semantics> <mrow> <mi>P</mi> <msub> <mi>x</mi> <mi>t</mi> </msub> <msub> <mi>y</mi> <mi>t</mi> </msub> <msub> <mi>z</mi> <mi>t</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Schematic diagram of vessel swaying.</p>
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<p>Block diagram illustrating the principle of the proposed ADCP attitude dynamic error correction method, which is based on angular velocity tensor and radius vector estimation.</p>
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<p>Block diagram for the estimation of angular velocity tensor expression.</p>
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<p>Schematic diagram of the pool experiment.</p>
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<p>The RiverRay ADCP transducer.</p>
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<p>Pool experiment setup diagram: (<b>a</b>) approach for propelling the boat; (<b>b</b>) approach for generating roll motion in the boat.</p>
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<p>Fitting results of the roll, yaw, and pitch angles in the radius vector estimation measurement.</p>
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<p>Transducer radius vector diagram. (<b>a</b>) Three-dimensional view of the radius vectors. (<b>b</b>) Top-down view of the radius vectors.</p>
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<p>The estimated radius vectors are used to fit the BT (bottom-tracking) radial velocities in this measurement to validate the accuracy of the estimation.</p>
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<p>Fitting results of the roll, yaw, and pitch angles in Measurement 1.</p>
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<p>Measurement 1 vessel angular velocity magnitude and the ASC method vessel velocity.</p>
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<p>Vessel velocities in Measurement 1 obtained with the ASC method and the proposed method.</p>
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<p>Vessel velocity directions in Measurement 1 obtained with the ASC method and the proposed method.</p>
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<p>Fitting results of the roll, yaw, and pitch angles in Measurement 2.</p>
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<p>Measurement 2 vessel angular velocity magnitude and the ASC method vessel velocity.</p>
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<p>Vessel velocities in Measurement 2 obtained with the ASC method and the proposed method.</p>
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<p>Vessel velocity directions in Measurement 2 obtained with the ASC method and the proposed method.</p>
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23 pages, 5276 KiB  
Article
Generalized Gaussian Distribution Improved Permutation Entropy: A New Measure for Complex Time Series Analysis
by Kun Zheng, Hong-Seng Gan, Jun Kit Chaw, Sze-Hong Teh and Zhe Chen
Entropy 2024, 26(11), 960; https://doi.org/10.3390/e26110960 - 7 Nov 2024
Viewed by 468
Abstract
To enhance the performance of entropy algorithms in analyzing complex time series, generalized Gaussian distribution improved permutation entropy (GGDIPE) and its multiscale variant (MGGDIPE) are proposed in this paper. First, the generalized Gaussian distribution cumulative distribution function is employed for data normalization to [...] Read more.
To enhance the performance of entropy algorithms in analyzing complex time series, generalized Gaussian distribution improved permutation entropy (GGDIPE) and its multiscale variant (MGGDIPE) are proposed in this paper. First, the generalized Gaussian distribution cumulative distribution function is employed for data normalization to enhance the algorithm’s applicability across time series with diverse distributions. The algorithm further processes the normalized data using improved permutation entropy, which maintains both the absolute magnitude and temporal correlations of the signals, overcoming the equal value issue found in traditional permutation entropy (PE). Simulation results indicate that GGDIPE is less sensitive to parameter variations, exhibits strong noise resistance, accurately reveals the dynamic behavior of chaotic systems, and operates significantly faster than PE. Real-world data analysis shows that MGGDIPE provides markedly better separability for RR interval signals, EEG signals, bearing fault signals, and underwater acoustic signals compared to multiscale PE (MPE) and multiscale dispersion entropy (MDE). Notably, in underwater target recognition tasks, MGGDIPE achieves a classification accuracy of 97.5% across four types of acoustic signals, substantially surpassing the performance of MDE (70.5%) and MPE (62.5%). Thus, the proposed method demonstrates exceptional capability in processing complex time series. Full article
(This article belongs to the Special Issue Ordinal Pattern-Based Entropies: New Ideas and Challenges)
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<p>Calculation flow chart of generalized Gaussian distribution improved permutation entropy (GGDIPE).</p>
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<p>The GGDIPE analysis for three types of noise across varying embedding dimensions. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>m</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math> (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>m</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>m</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics></math> (<b>d</b>) <math display="inline"><semantics> <mrow> <mi>m</mi> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math>.</p>
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<p>Analysis results of PE and DispEn for three types of noise across various embedding dimensions. (<b>a</b>) PE analysis result; (<b>b</b>) DispEn analysis result.</p>
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<p>The GGDIPE analysis for three types of noise across varying <math display="inline"><semantics> <mi>L</mi> </semantics></math> (<b>a</b>) <span class="html-italic">L</span> = 2; (<b>b</b>) <span class="html-italic">L</span> = 4; (<b>c</b>) <span class="html-italic">L</span> = 6; (<b>d</b>) <span class="html-italic">L</span> = 8.</p>
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<p>The GGDIPE analysis for three types of noise across varying data length. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>0.9</mn> </mrow> </semantics></math> (<b>b</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>1.5</mn> </mrow> </semantics></math> (<b>c</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>2.1</mn> </mrow> </semantics></math> (<b>d</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>2.9</mn> </mrow> </semantics></math>.</p>
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<p>Analysis results of PE and DispEn for three types of noise across various data length. (<b>a</b>) PE analysis result; (<b>b</b>) DispEn analysis result.</p>
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<p>The GGDIPE analysis for noisy Lorenz signals. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math> (<b>d</b>) <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>=</mo> <mn>8</mn> </mrow> </semantics></math>.</p>
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<p>Analysis results of PE and DispEn for noisy Lorenz signals. (<b>a</b>) PE analysis result; (<b>b</b>) DispEn analysis result.</p>
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<p>Analysis results of applying various entropy algorithms to the Logistic model.</p>
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<p>GGDIPE analysis results for the RR intervals of healthy young and healthy elderly subjects.</p>
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<p>Analysis results of PE and DispEn for the RR intervals of healthy young and healthy elderly subjects. (<b>a</b>) PE analysis result; (<b>b</b>) DispEn analysis result.</p>
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<p>The MGGDIPE analysis for EEG signals. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>0.9</mn> </mrow> </semantics></math> (<b>b</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>1.5</mn> </mrow> </semantics></math> (<b>c</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>2.1</mn> </mrow> </semantics></math> (<b>d</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>2.9</mn> </mrow> </semantics></math>.</p>
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<p>The MPE and MDE analysis for EEG signals. (<b>a</b>) MPE analysis result; (<b>b</b>) MDE analysis result.</p>
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<p>The MGGDIPE analysis for bearing fault signals. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>0.9</mn> </mrow> </semantics></math> (<b>b</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>1.5</mn> </mrow> </semantics></math> (<b>c</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>2.1</mn> </mrow> </semantics></math> (<b>d</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>2.9</mn> </mrow> </semantics></math>.</p>
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<p>The MPE and MDE analysis for bearing fault signals. (<b>a</b>) MPE analysis result; (<b>b</b>) MDE analysis result.</p>
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<p>The MGGDIPE analysis for underwater acoustic signals. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>0.9</mn> </mrow> </semantics></math> (<b>b</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>1.5</mn> </mrow> </semantics></math> (<b>c</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>2.1</mn> </mrow> </semantics></math> (<b>d</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">β</mi> <mo> </mo> <mo>=</mo> <mo> </mo> <mn>2.9</mn> </mrow> </semantics></math>.</p>
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<p>The MPE and MDE analysis for underwater acoustic signals. (<b>a</b>) MPE analysis result; (<b>b</b>) MDE analysis result.</p>
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<p>Probability density function of generalized Gaussian distribution.</p>
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14 pages, 7591 KiB  
Article
Acoustic Signal Reconstruction Across Water–Air Interface Through Millimeter-Wave Radar Micro-Vibration Detection
by Yuchen Du, Xiaolong Cao, Yiguang Yang, Tongchang Zhang, Jiaqi Yuan, Tengyuan Cui and Jianquan Yao
J. Mar. Sci. Eng. 2024, 12(11), 1989; https://doi.org/10.3390/jmse12111989 - 4 Nov 2024
Viewed by 547
Abstract
Water surface micro-amplitude waves (WSMWs) of identical frequency are elicited as acoustic waves propagating through water. This displacement can be translated into an intermediate frequency (IF) phase shift through transmitting a frequency modulated continuous wave (FMCW) towards the water surface by a millimeter-wave [...] Read more.
Water surface micro-amplitude waves (WSMWs) of identical frequency are elicited as acoustic waves propagating through water. This displacement can be translated into an intermediate frequency (IF) phase shift through transmitting a frequency modulated continuous wave (FMCW) towards the water surface by a millimeter-wave radar, and information transmission across the water–air interface is achieved via the signal reconstruction method. In this paper, a novel mathematical model based on energy conversion from underwater acoustic to vibration (ECUAV) is presented. This method was able to obtain WSMW vibration information directly by measuring the sound source level (SL). An acoustic electromagnetic wave-based information transmission (AEIT) system was integrated within the water tank environment. The measured distribution of SL within the frequency range of 100 Hz to 300 Hz exhibited the same amplitude variation trend as predicted by the ECUAV model. Thus, the WSMW formation process at 135 Hz was simulated, and the phase information was extracted. The initial vibration information was retrieved through a combination of phase unwinding and Butterworth digital filtering. Fourier transform was applied to the vibrational data to accurately reproduce the acoustic frequency of underwater nodes. Finally, the dual-band binary frequency shift keying (BFSK) modulated underwater encoding acoustic signal was effectively recognized and reconstructed by the AEIT system. Full article
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<p>The process of detecting water surface vibrations based on millimeter-wave radar.</p>
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<p>(<b>a</b>) Millimeter-wave radar signal detection process. (<b>b</b>) The single-chirp linear FMCW signal structure.</p>
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<p>(<b>a</b>) Relationship between interface vibration amplitude versus <span class="html-italic">SL</span> and frequency; (<b>b</b>) water surface microwave attenuation process, <span class="html-italic">f</span> = 50 Hz; (<b>c</b>) 2D top view; (<b>d</b>) 2D profile.</p>
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<p>(<b>a</b>) Information transmission system based on Radar. (<b>b</b>) Tank environment.</p>
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<p>Frequency-dependent sound source information. (<b>a</b>) Sound Level. (<b>b</b>) Maximum amplitude of surface undulations.</p>
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<p>IF signal phase information at 135 Hz. (<b>a</b>) Before filtering. (<b>b</b>) After filtering.</p>
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<p>Perturbation detection frequency domain diagram at <span class="html-italic">f</span> = 135 Hz and <span class="html-italic">f</span> = 150 Hz.</p>
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<p>Frequency domain analysis of water surface vibration with varying frequency.</p>
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<p>BFSK signal modulation. (<b>a</b>) IF phase signal before filtering. (<b>b</b>) IF phase signal after filtering.</p>
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<p>BFSK signal modulation. (<b>a</b>) Frequency domain response with origin environmental noise. (<b>b</b>) Time–frequency process with origin environmental noise. (<b>c</b>) Frequency domain response after digital filtering. (<b>d</b>) Time–frequency process after digital filtering.</p>
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22 pages, 6513 KiB  
Article
A Novel Beam-Domain Direction-of-Arrival Tracking Algorithm for an Underwater Target
by Xianghao Hou, Weisi Hua, Yuxuan Chen and Yixin Yang
Remote Sens. 2024, 16(21), 4074; https://doi.org/10.3390/rs16214074 - 31 Oct 2024
Viewed by 325
Abstract
Underwater direction-of-arrival (DOA) tracking using a hydrophone array is an important research subject in passive sonar signal processing. In this study, a DOA tracking algorithm based on a novel beam-domain signal processing technique is proposed to ensure robust DOA tracking of an interested [...] Read more.
Underwater direction-of-arrival (DOA) tracking using a hydrophone array is an important research subject in passive sonar signal processing. In this study, a DOA tracking algorithm based on a novel beam-domain signal processing technique is proposed to ensure robust DOA tracking of an interested underwater target under a low signal-to-noise ratio (SNR) environment. Firstly, the beam-based observation is designed and proposed, which innovatively applies beamforming after array-based observation to achieve specific spatial directivity. Next, the proportional–integral–differential (PID)-optimized Olen–Campton beamforming method (PIDBF) is designed and proposed in the beamforming process to achieve faster and more stable sidelobe control performance to enhance the SNR of the target. The adaptive dynamic beam window is designed and proposed to focusing the observation on more likely observation area. Then, by utilizing the extended Kalman filter (EKF) tracking framework, a novel PIDBF-optimized beam-domain DOA tracking algorithm (PIDBF-EKF) is proposed. Finally, simulations with different SNR scenarios and comprehensive analyses are made to verify the superior performance of the proposed DOA tracking approach. Full article
(This article belongs to the Section Ocean Remote Sensing)
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<p>Configuration of the ULA-based measurement system.</p>
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<p>Comparison of beam patterns for Olen series optimization methods at different iteration counts. (<b>a</b>) 1 iteration. (<b>b</b>) 5 iterations. (<b>c</b>) 10 iterations. (<b>d</b>) 20 iterations. (<b>e</b>) 50 iterations. (<b>f</b>) 100 iterations.</p>
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<p>MSE and RMSE plots for the Olen series optimization methods. (<b>a</b>) MSE plot for the Olen series optimization methods. (<b>b</b>) RMSE plot for the Olen series optimization methods.</p>
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<p>The time required for the Olen series optimization method to achieve an RMSE of 2.</p>
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<p>The time required for the Olen series optimization method to achieve an RMSE of 1.</p>
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<p>The time required for the Olen series optimization method to achieve an RMSE of 0.5.</p>
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<p>Comparison of various methods with an SNR of 0 dB. (<b>a</b>) Comparison of bearing angle tracking result with an SNR of 0 dB. (<b>b</b>) BEEs obtained with an SNR of 0 dB.</p>
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<p>Comparison of various methods with an SNR of −10 dB. (<b>a</b>) Comparison of bearing angle tracking result with an SNR of −10 dB. (<b>b</b>) BEEs obtained with an SNR of −10 dB.</p>
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<p>Comparison of various methods with an SNR of −20 dB. (<b>a</b>) Comparison of bearing angle tracking result with an SNR of −20 dB. (<b>b</b>) BEEs obtained with an SNR of −20 dB.</p>
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<p>Comparison of various methods with an SNR of −30 dB. (<b>a</b>) Comparison of bearing angle tracking result with an SNR of −30 dB. (<b>b</b>) BEEs obtained with an SNR of −30 dB.</p>
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<p>Comparison of various methods with the number of beams set to 3. (<b>a</b>) Comparison of bearing angle tracking result with the number of beams set to 3. (<b>b</b>) BEEs obtained with the number of beams set to 3.</p>
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<p>Comparison of various methods with the number of beams set to 5. (<b>a</b>) Comparison of bearing angle tracking result with the number of beams set to 5. (<b>b</b>) BEEs obtained with the number of beams set to 5.</p>
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<p>Comparison of various methods with the number of beams set to 9. (<b>a</b>) Comparison of bearing angle tracking result with the number of beams set to 9. (<b>b</b>) BEEs obtained with the number of beams set to 9.</p>
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<p>Comparison of various methods with the number of beams set to 15. (<b>a</b>) Comparison of bearing angle tracking result with the number of beams set to 15. (<b>b</b>) BEEs obtained with the number of beams set to 15.</p>
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<p>Comparison of various methods with the number of beams set to 18. (<b>a</b>) Comparison of bearing angle tracking result with the number of beams set to 18. (<b>b</b>) BEEs obtained with the number of beams set to 18.</p>
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<p>Comparison of various methods with the number of beams set to 25. (<b>a</b>) Comparison of bearing angle tracking result with the number of beams set to 25. (<b>b</b>) BEEs obtained with the number of beams set to 25.</p>
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20 pages, 23226 KiB  
Article
Signal Processing to Characterize and Evaluate Nonlinear Acoustic Signals Applied to Underwater Communications
by María Campo-Valera, Dídac Diego-Tortosa, Ignacio Rodríguez-Rodríguez, Jorge Useche-Ramírez and Rafael Asorey-Cacheda
Electronics 2024, 13(21), 4192; https://doi.org/10.3390/electronics13214192 - 25 Oct 2024
Viewed by 536
Abstract
Nonlinear acoustic signals, specifically the parametric effect, offer significant advantages over linear signals because the low frequencies generated in the medium due to the intermodulation of the emitted frequencies are highly directional and can propagate over long distances. Due to these characteristics, a [...] Read more.
Nonlinear acoustic signals, specifically the parametric effect, offer significant advantages over linear signals because the low frequencies generated in the medium due to the intermodulation of the emitted frequencies are highly directional and can propagate over long distances. Due to these characteristics, a detailed analysis of these signals is necessary to accurately estimate the Time of Arrival (ToA) and amplitude parameters. This is crucial for various communication applications, such as sonar and underwater location systems. The research addresses a notable gap in the literature regarding comparative methods for analyzing nonlinear acoustic signals, particularly focusing on ToA estimation and amplitude parameterization. Two types of nonlinear modulations are examined: parametric Frequency-Shift Keying (FSK) and parametric sine-sweep modulation, which correspond to narrowband and broadband signals, respectively. The first study evaluates three ToA estimation methods—threshold, power variation (Pvar), and cross-correlation methods for the modulations in question. Following ToA estimation, the amplitude of the received signals is analyzed using acoustic signal processing techniques such as time-domain, frequency-domain, and cross-correlation methods. The practical application is validated through controlled laboratory experiments, which confirm the robustness and effectiveness of the existing methods proposed under study for nonlinear (parametric) acoustic signals. Full article
(This article belongs to the Special Issue Recent Advances in Signal Processing and Applications)
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<p>Example of the ToA estimation using the threshold method on a simulated signal with a SNR of 10 dB. The distance between the emitter and receiver is 0.5 m and the speed of sound in water is approximately 1480 m/s, so the expected ToA is 336.00 μs. Due to the SNR conditions, the estimated ToA by the threshold method is 338.00 μs. The 30% threshold level is calculated on the maximum level of the signal.</p>
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<p>Scheme for the ToA estimation using the <math display="inline"><semantics> <mrow> <mi>P</mi> <mi>v</mi> <mi>a</mi> <msub> <mi>r</mi> <mrow> <mi>c</mi> <mi>u</mi> <mi>m</mi> </mrow> </msub> </mrow> </semantics></math> method in an ideal signal (no noise). The periods of noise (no signal) and the presence of signal are indicated, as well as the two slopes that the algorithm has considered for the calculation of the ToA (where they intersect), the ToA is 336.21 μs.</p>
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<p>Scheme for the ToA estimation using the <math display="inline"><semantics> <mrow> <mi>P</mi> <mi>v</mi> <mi>a</mi> <msub> <mi>r</mi> <mrow> <mi>s</mi> <mi>a</mi> <mi>w</mi> </mrow> </msub> </mrow> </semantics></math> method in an ideal signal (no noise). The periods of noise (no signal) and the presence of signal are indicated, as well as the two slopes that the algorithm has considered for the calculation of the ToA (where they intersect), the ToA <math display="inline"><semantics> <mrow> <mi>P</mi> <mi>v</mi> <mi>a</mi> <msub> <mi>r</mi> <mrow> <mi>s</mi> <mi>a</mi> <mi>w</mi> </mrow> </msub> </mrow> </semantics></math> is 330.42 μs.</p>
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<p>Example of the ToA estimation using the cross-correlation method in an ideal signal (no noise). This signal is the result of correlating a transmitted signal with a received signal, the ToA is 335.00 μs.</p>
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<p>Example of the time domain amplitude estimation, where <math display="inline"><semantics> <msub> <mi>V</mi> <mrow> <mi>p</mi> <mo>,</mo> <mi>time</mi> </mrow> </msub> </semantics></math> is 20 mV and <math display="inline"><semantics> <msub> <mi>V</mi> <mrow> <mi>r</mi> <mi>m</mi> <mi>s</mi> <mo>,</mo> <mi>time</mi> </mrow> </msub> </semantics></math> is 14.14 mV for the filtered and clipped received signal.</p>
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<p>Amplitude estimation by the cross-correlation method. (<b>a</b>) Signal to be correlated; (<b>b</b>) received signal with a <span class="html-italic">f<sub>s</sub></span> = 20 MHz; (<b>c</b>) cross-correlation result where <math display="inline"><semantics> <mrow> <msub> <mi>V</mi> <mrow> <mi>p</mi> <mo>,</mo> <mi>corr</mi> </mrow> </msub> <mrow> <mo>[</mo> <msub> <mi>y</mi> <mrow> <mi>r</mi> <mi>e</mi> <mi>c</mi> </mrow> </msub> <mo>]</mo> </mrow> </mrow> </semantics></math> is 19.5 mV.</p>
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<p>Experimental set-up for signals in a laboratory pool. (<b>a</b>) On the right, the AIRMAR P19 as emitter, and on the left, the RESON TC4040 hydrophone receiver distanced 32 cm apart; (<b>b</b>) devices and connections used: computer, PXI, and amplifier.</p>
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<p>Block diagram of the laboratory pool measurement setup.</p>
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<p>ToA estimation for the sine-sweep received signal concatenated with the bit sequence [1010010110010110]. (<b>a</b>) Using the threshold method; (<b>b</b>) using the <math display="inline"><semantics> <mrow> <mi>P</mi> <mi>v</mi> <mi>a</mi> <msub> <mi>r</mi> <mrow> <mi>c</mi> <mi>u</mi> <mi>m</mi> </mrow> </msub> </mrow> </semantics></math> method; (<b>c</b>) using the <math display="inline"><semantics> <mrow> <mi>P</mi> <mi>v</mi> <mi>a</mi> <msub> <mi>r</mi> <mrow> <mi>s</mi> <mi>a</mi> <mi>w</mi> </mrow> </msub> </mrow> </semantics></math> method; (<b>d</b>) zoom in close to the ToA estimated by the cross-correlation method.</p>
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<p>Spectrogram of the received signal using 4096 samples for the FFT with 50% overlap. (<b>a</b>) Parametric FSK modulation (high frequencies), with a Butterworth low-pass filter of order 6 applied for better visualization of low frequencies (the dotted line differentiates between the two analyses). Around 200 kHz, the primary frequency is observed, and the bits in 30 kHz and 40 kHz represent the low frequency parametric signal (secondary frequencies); (<b>b</b>) parametric sine-sweep modulation. Around 200 kHz, the primary frequency is observed, and between 10 kHz to 50 kHz the low frequency parametric signal (secondary frequencies).</p>
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<p>Amplitude values for primary and secondary frequencies (parametric signal) estimated by the different methods. (<b>a</b>) For the FSK modulation; (<b>b</b>) for the sine-weep modulation.</p>
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<p>Detection of the bit string [1010010110010110] based on high cross-correlation peaks for each bit (bit ‘0’ and bit ‘1’) at the expected ToA, once the first is known. (<b>a</b>) For the FSK modulation; (<b>b</b>) for the sine-sweep modulation.</p>
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<p>Flow char for obtaining the ToA for both primary and secondary frequencies (parametric signal).</p>
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<p>Flowchart for obtaining amplitude values for both primary and secondary frequencies (parametric signal).</p>
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22 pages, 3309 KiB  
Article
Cross-Layer Routing Protocol Based on Channel Quality for Underwater Acoustic Communication Networks
by Jinghua He, Jie Tian, Zhanqing Pu, Wei Wang and Haining Huang
Appl. Sci. 2024, 14(21), 9778; https://doi.org/10.3390/app14219778 - 25 Oct 2024
Viewed by 521
Abstract
Due to the physical characteristics of acoustic channels, the performance of underwater acoustic communication networks (UACNs) is more susceptible to the impacts of multipath and Doppler effects. Channel quality can serve as a measure of the reliability of underwater communication links. A cross-layer [...] Read more.
Due to the physical characteristics of acoustic channels, the performance of underwater acoustic communication networks (UACNs) is more susceptible to the impacts of multipath and Doppler effects. Channel quality can serve as a measure of the reliability of underwater communication links. A cross-layer routing protocol based on channel quality (CLCQ) is proposed to improve the overall network performance and resource utilization. First, the BELLHOP ray model is used to calculate the channel impulse response combined with the winter sound speed profile data of a specific sea area. Then, the channel impulse response is integrated into the communication system to evaluate the channel quality between nodes based on the bit error rate (BER). Finally, during the selection of the next hop node, a reinforcement learning algorithm is employed to facilitate cross-layer interaction within the protocol stack. The optimal relay node is determined by the channel quality index (BER) from the physical layer, the buffer state from the data link layer, and the node residual energy. To enhance the algorithm’s convergence speed, a forwarding candidate set selection method is proposed which takes into account node depth, residual energy, and buffer state. Simulation results show that the packet delivery rate (PDR) of the CLCQ is significantly higher than that of Q-Learning-Based Energy-Efficient and Lifetime-Extended Adaptive Routing (QELAR) and Geographic and Opportunistic Routing (GEDAR). Full article
(This article belongs to the Special Issue Recent Advances in Underwater Acoustic Signal Processing)
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<p>The schematic diagram of the network.</p>
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<p>The sound speed profile.</p>
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<p>Example of channel (transmit depth 1000 m, receive depth 878.1 m, distance 536.8 m).</p>
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<p>OFDM underwater acoustic communication system implementation process.</p>
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<p>BER at different receiving depths and distances (transmitting depth 800 m).</p>
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<p>Protocol framework.</p>
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<p>Packet structure.</p>
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<p>V-value of the source node.</p>
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<p>Total energy consumption under different <math display="inline"><semantics> <mrow> <msub> <mi>φ</mi> <mrow> <mi>e</mi> <mi>n</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>φ</mi> <mrow> <mi>e</mi> <mi>n</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math> values.</p>
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<p>Residual energy variance under different <math display="inline"><semantics> <mrow> <msub> <mi>φ</mi> <mrow> <mi>e</mi> <mi>n</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>φ</mi> <mrow> <mi>e</mi> <mi>n</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math> values.</p>
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<p>Average end-to-end delay under different <math display="inline"><semantics> <mrow> <msub> <mi>φ</mi> <mi>t</mi> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>α</mi> <mn>1</mn> </msub> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>α</mi> <mn>2</mn> </msub> </mrow> </semantics></math> values.</p>
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<p>PDR under different <math display="inline"><semantics> <mrow> <msub> <mi>φ</mi> <mi>q</mi> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>φ</mi> <mi>t</mi> </msub> </mrow> </semantics></math> values.</p>
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<p>Total energy consumption of different protocols.</p>
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<p>Residual energy variance of different protocols.</p>
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<p>Average end-to-end delay of different protocols.</p>
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<p>PDR of different protocols.</p>
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29 pages, 10011 KiB  
Article
Error Analysis and Correction of ADCP Attitude Dynamics under Platform Swing Conditions
by Zhaowen Sun and Shuai Yao
J. Mar. Sci. Eng. 2024, 12(10), 1820; https://doi.org/10.3390/jmse12101820 - 12 Oct 2024
Viewed by 432
Abstract
The Acoustic Doppler Current Profiler (ADCP) on a platform generates rotational linear velocity due to dynamic factors in attitude changes, leading to measurement errors in vessel and water flow velocities. This study derives and analyzes these errors, focusing on factors such as emission [...] Read more.
The Acoustic Doppler Current Profiler (ADCP) on a platform generates rotational linear velocity due to dynamic factors in attitude changes, leading to measurement errors in vessel and water flow velocities. This study derives and analyzes these errors, focusing on factors such as emission angle, transducer position, water depth, and measured depth, while also accounting for the variation in linear velocity and radial direction during each transmit–receive pulse cycle in the simulations. A method is proposed that introduces the concept of an equivalent radial radius to correct vessel and flow velocities, specifically designed for the common scenario where the ADCP is installed on the central longitudinal section of a vessel undergoing free roll motion. This method is suited for shallow water conditions without waves, with measurements taken vertically downward. It uses least squares fitting with an exponentially decaying sinusoidal model to process low-sampling-rate inclinometer data from the ADCP. This approach requires only the processing of measured data based on existing ADCP hardware, without the need for additional equipment. Field tests in a pool demonstrate that the proposed method significantly reduces vessel velocity errors, outperforming the traditional attitude static correction method. Full article
(This article belongs to the Section Ocean Engineering)
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<p>A schematic diagram of pulse transmission and reception during transducer sway.</p>
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<p>Block diagram of the flow velocity measurement method based on radial radius estimation for linear velocity correction.</p>
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<p>Diagram of transducer positions on the vessel. (<b>a</b>) Diagram of four transducers swaying around the <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mi>b</mi> </msub> </mrow> </semantics></math> axis. (<b>b</b>) Geometric diagram of Transducer 1 swaying around the <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mi>b</mi> </msub> </mrow> </semantics></math> axis.</p>
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<p>Curves of roll angle and angular velocity over time.</p>
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<p>Curves of velocity and velocity error as a function of angle <math display="inline"><semantics> <mi>α</mi> </semantics></math> between the radial direction and the central axis. (<b>a</b>) Attitude static corrected vessel velocity at 0 true velocity and 2 m depth. (<b>b</b>) Error in velocity from attitude static correction method at initial setup.</p>
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<p>Curves of vessel velocity and flow velocity as a function of roll angle obtained using the attitude static correction method under different roll directions. (<b>a</b>) Vessel velocity from attitude static correction during different sway directions. (<b>b</b>) Flow velocity from attitude static correction during different sway directions.</p>
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<p>The impact of the relative position between the sway center and the transducer on velocity measurement errors. (<b>a</b>) Curve of vessel and flow velocity errors vs. radius–central axis angle. (<b>b</b>) Curve of vessel and flow velocity errors vs. sway radius.</p>
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<p>The relationship between the dynamic effects of sway and water depth. (<b>a</b>) Velocity error vs. water depth. (<b>b</b>) Absolute traditional vessel velocity and line velocity at emission and bottom echo reception vs. water depth. (<b>c</b>) Flow velocity error and line velocity at scattered and bottom echo reception vs. measurement depth.</p>
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<p>Pool test schematic diagram.</p>
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<p>RiverRay ADCP transducer.</p>
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<p>Pool test scenario diagram. (<b>a</b>) Method for moving the vessel. (<b>b</b>) Method for inducing vessel sway.</p>
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<p>Fitting results for the roll angle and roll angular velocity.</p>
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<p>Fitting results for the average bottom-tracking radial velocity of the transducers and roll angular velocity.</p>
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<p>Bottom-tracking radial velocity of the four transducers: comparison between the attitude static method and the proposed method.</p>
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<p>Magnitude of the roll angular velocity and vessel velocity using the attitude static method in Measurement 1.</p>
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<p>Vessel velocity using the attitude static method and the proposed method in Measurement 1.</p>
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<p>Vessel velocity direction using the attitude static method and the proposed method in Measurement 1.</p>
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<p>Fitting results for the roll angle and roll angular velocity in Measurement 2.</p>
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<p>Bottom-tracking radial velocity of the four transducers: comparison between the attitude static method and the proposed method in Measurement 2.</p>
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<p>Magnitude of the roll angular velocity and vessel velocity using the attitude static method in Measurement 2.</p>
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<p>Vessel velocity using the attitude static method and the proposed method in Measurement 2.</p>
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<p>Vessel velocity direction using the attitude static method and the proposed method in Measurement 2.</p>
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15 pages, 6073 KiB  
Article
Underwater Small Target Detection Method Based on the Short-Time Fourier Transform and the Improved Permutation Entropy
by Jing Zhou, Baoan Hao, Yaan Li and Xiangfeng Yang
Acoustics 2024, 6(4), 870-884; https://doi.org/10.3390/acoustics6040048 - 10 Oct 2024
Viewed by 719
Abstract
In the realm of underwater active target detection, the presence of reverberation is an important factor that significantly impacts the efficacy of detection. This article introduces the improved permutation entropy algorithm into the analysis of active underwater acoustic signals. Based on the significant [...] Read more.
In the realm of underwater active target detection, the presence of reverberation is an important factor that significantly impacts the efficacy of detection. This article introduces the improved permutation entropy algorithm into the analysis of active underwater acoustic signals. Based on the significant difference between the improved permutation entropy in the frequency domain and the time domain, a frequency-domain-improved permutation entropy detection algorithm is proposed. The performance of this algorithm and the energy detection algorithm are compared and analyzed under the same conditions. The results show that the spectral entropy detector is about 2.7 dB better than the energy detector, realized via active small target signal detection under a reverberation background. At the same time, based on the characteristics of improved permutation entropy changing with the length of processed data, the short-time Fourier transform is integrated into frequency domain entropy detection to obtain distance and velocity information of the target. To validate the proposed methods, comparative analysis experiments were executed utilizing actual experiment data. The outcomes of both simulation and actual experiment data processing demonstrated that the sliding entropy feature detection method for signal spectrum has a small computational complexity and can quickly determine whether there is a target echo in the receive data. The two-dimensional entropy feature detection method for short-time signal spectra was found to effectively mitigate the impact of reverberation intensity and while enhancing the prominence of the target signal, thereby yielding a more robust detection outcome. Full article
(This article belongs to the Special Issue Vibration and Noise (2nd Edition))
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<p>Simulation results of reverberation and target echo signals. (<b>a</b>) Reverberation signal; (<b>b</b>) normalized reverberation signal; (<b>c</b>) normalized reverberation signal after adding target echo signal; (<b>d</b>) time-frequency diagram of the target echo signal and reverberation.</p>
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<p>Simulation results of reverberation and target echo signals. (<b>a</b>) Reverberation signal; (<b>b</b>) normalized reverberation signal; (<b>c</b>) normalized reverberation signal after adding target echo signal; (<b>d</b>) time-frequency diagram of the target echo signal and reverberation.</p>
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<p>IPE and PE values of noise with different bandwidths in the time domain.</p>
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<p>IPE and PE values of noise with different bandwidths in the frequency domain.</p>
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<p>Spectral entropy detection and energy detection performance curve.</p>
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<p>Variation of spectral entropy detection performance with data time length under different SNR conditions.</p>
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<p>IPE result of the signal spectrum when the signal-to-noise ratio is 0 dB. (<b>a</b>) IPE value of the spectrum under a sliding window; (<b>b</b>) STFT for IPE value.</p>
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<p>IPE result of the signal spectrum when the signal-to-noise ratio is −15 dB. (<b>a</b>) IPE value of the spectrum under a sliding window; (<b>b</b>) STFT for IPE value.</p>
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<p>The time-frequency analysis diagram of reverberation with noise.</p>
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<p>Entropy characteristics of the power spectrum in different time and frequency frames when only Gaussian white noise is added. (<b>a</b>) Entropy characteristics of the power spectrum in time frames; (<b>b</b>) entropy characteristics of the power spectrum in frequency frames.</p>
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<p>Entropy characteristics of the power spectrum in different time and frequency frames when the signal-to-noise ratio is 0 dB. (<b>a</b>) Entropy characteristics of the power spectrum in time frames; (<b>b</b>) entropy characteristics of the power spectrum in frequency frames.</p>
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<p>Active acquisition of time-domain waveforms and time-frequency maps without target signals.</p>
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<p>Active acquisition of time-domain waveforms and time-frequency maps when there is a target signal.</p>
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<p>Detection result without target signal. (<b>a</b>) Entropy characteristics of the power spectrum in time frames; (<b>b</b>) entropy characteristics of the power spectrum in frequency frames.</p>
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<p>Detection results with a target signal. (<b>a</b>) Entropy characteristics of the power spectrum in time frames; (<b>b</b>) entropy characteristics of the power spectrum in frequency frames.</p>
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<p>Detection results for different distance targets. (<b>a</b>) Entropy characteristics of the power spectrum in time frames; (<b>b</b>) entropy characteristics of the power spectrum in frequency frames.</p>
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13 pages, 3709 KiB  
Article
An End-to-End Underwater Acoustic Target Recognition Model Based on One-Dimensional Convolution and Transformer
by Kang Yang, Biao Wang, Zide Fang and Banggui Cai
J. Mar. Sci. Eng. 2024, 12(10), 1793; https://doi.org/10.3390/jmse12101793 - 9 Oct 2024
Viewed by 867
Abstract
Underwater acoustic target recognition (UATR) is crucial for defense and ocean environment monitoring. Although traditional methods and deep learning approaches based on time–frequency domain features have achieved high recognition rates in certain tasks, they rely on manually designed feature extraction processes, leading to [...] Read more.
Underwater acoustic target recognition (UATR) is crucial for defense and ocean environment monitoring. Although traditional methods and deep learning approaches based on time–frequency domain features have achieved high recognition rates in certain tasks, they rely on manually designed feature extraction processes, leading to information loss and limited adaptability to environmental changes. To overcome these limitations, we proposed a novel end-to-end underwater acoustic target recognition model, 1DCTN. This model directly used raw time-domain signals as input, leveraging one-dimensional convolutional neural networks (1D CNNs) to extract local features and combining them with Transformers to capture global dependencies. Our model simplified the recognition process by eliminating the need for complex feature engineering and effectively addressed the limitations of LSTM in handling long-term dependencies. Experimental results on the publicly available ShipsEar dataset demonstrated that 1DCTN achieves a remarkable accuracy of 96.84%, setting a new benchmark for end-to-end models on this dataset. Additionally, 1DCTN stood out among lightweight models, achieving the highest recognition rate, making it a promising direction for future research in underwater acoustic recognition. Full article
(This article belongs to the Section Ocean Engineering)
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<p>Illustration of the 1D convolution process.</p>
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<p>Multi-head self-attention computation process.</p>
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<p>Architecture of the proposed 1DCTN model.</p>
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<p>Spectra of ship signals in different categories. (<b>a</b>) Spectrum of ship signal in category A. (<b>b</b>) Spectrum of ship signal in category B. (<b>c</b>) Spectrum of ship signal in category C. (<b>d</b>) Spectrum of ship signal in category D. (<b>e</b>) Spectrum of ship signal in category E.</p>
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<p>Training and validation curves for different input features. (<b>a</b>) Training loss curves for different input features. (<b>b</b>) Validation accuracy curves for different input features.</p>
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<p>Training and validation curves. (<b>a</b>) Training loss curves for 1DCTN and 1D-CNN LSTM. (<b>b</b>) Validation accuracy curves for 1DCTN and 1D-CNN LSTM.</p>
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<p>Confusion matrices on the test set. (<b>a</b>) Confusion matrix for 1D-CNN LSTM. (<b>b</b>) Confusion matrix for 1DCTN.</p>
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<p>Comparison of performance metrics for each category. (<b>a</b>) Precision comparison between 1D-CNN LSTM and 1DCTN. (<b>b</b>) Recall comparison between 1D-CNN LSTM and 1DCTN. (<b>c</b>) F1-score comparison between 1D-CNN LSTM and 1DCTN.</p>
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12 pages, 5245 KiB  
Article
Solution-Processed CsPbBr3 Perovskite Photodetectors for Cost-Efficient Underwater Wireless Optical Communication System
by Jiakang Wei, Yutong Deng, Jianjian Fei, Tian Yang, Pinhao Chen, Lu Zhu and Zhanfeng Huang
Micromachines 2024, 15(10), 1185; https://doi.org/10.3390/mi15101185 - 25 Sep 2024
Viewed by 615
Abstract
Underwater wireless optical communication (UWOC) has attracted increasing attention due to its advantages in bandwidth, latency, interference resistance, and security. Photodetectors, as a crucial part of receivers, have been continuously developed with the great progress that has been made in advanced materials. Metal [...] Read more.
Underwater wireless optical communication (UWOC) has attracted increasing attention due to its advantages in bandwidth, latency, interference resistance, and security. Photodetectors, as a crucial part of receivers, have been continuously developed with the great progress that has been made in advanced materials. Metal halide perovskites emerging as promising optoelectronic materials in the past decade have been used to fabricate various high-performance photodetectors. In this work, high-performance CsPbBr3 perovskite PDs were realized via solution process, with low noise, a high responsivity, and a fast response. Based on these perovskite PDs, a cost-efficient UWOC system was successfully demonstrated on an FPGA platform, achieving a data rate of 6.25 Mbps with a low bit error rate of 0.36%. Due to lower background noise under environment illumination, perovskite PDs exhibit better communication stability before reaching a data rate threshold; however, the BER increases rapidly due to the long fall time, resulting in difficulty in distinguishing switching signals. Reducing the fall time of perovskite PDs and using advanced coding techniques can help to further improve the performance of the UWOC system based on perovskite PDs. This work not only demonstrates the potential of perovskite PDs in the application of UWOC, but also improves the development of a cost-effective UWOC system based on FPGAs. Full article
(This article belongs to the Special Issue Advances in Photodetecting Materials, Devices and Applications)
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<p>The block diagram of the UWOC system.</p>
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<p>The working mechanism of state machine for (<b>a</b>) transition; (<b>b</b>) reception.</p>
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<p>(<b>a</b>) SEM image; (<b>b</b>) steady-state photoluminescence spectra of the solution processed CsPbBr<sub>3</sub> perovskite films.</p>
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<p>(<b>a</b>) I–V characteristics of the perovskite PDs with and without illumination. The insert is the schematic and optical image of the fabricated CsPbBr<sub>3</sub> PD. (<b>b</b>) The measured noise current spectra of the instrument and CsPbBr<sub>3</sub> perovskite PDs at the photovoltaic mode, (<b>c</b>) Responsivity (in green) and specific detectivity (in blue) spectrum of perovskite PDs. (<b>d</b>) Transient response of perovskite PDs with different sensitive areas under the illumination of a 488 nm laser at a frequency of 100 kHz.</p>
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<p>(<b>a</b>) The waveform of received signals in the raw, decided, and final states. The red frame highlights the glitches; the BER of PDs for different transmission rates of (<b>b</b>) random data and (<b>c</b>) regular “01” data.</p>
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<p>The waveform of the transient response of (<b>a</b>) the silicon PD and (<b>b</b>) the perovskite PDs; (<b>c</b>) the background photocurrent of the PDs under different intensities of environment illumination; (<b>d</b>) noise current of silicon and perovskite PDs under dark and 1 lux white light illumination.</p>
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<p>The change in images after transmission at 7.14 Mbps for grayscale the images and 8.33 Mbps for the RGB images.</p>
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<p>The changes in (<b>a</b>) MSE and (<b>b</b>) SSIM for the silicon and perovskite PDs at different transmission rates.</p>
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22 pages, 1364 KiB  
Article
Signal Denoising Method Based on EEMD and SSA Processing for MEMS Vector Hydrophones
by Peng Wang, Jie Dong, Lifu Wang and Shuhui Qiao
Micromachines 2024, 15(10), 1183; https://doi.org/10.3390/mi15101183 - 24 Sep 2024
Viewed by 3071
Abstract
The vector hydrophone is playing a more and more prominent role in underwater acoustic engineering, and it is a research hotspot in many countries; however, it also has some shortcomings. For the mixed problem involving received signals in micro-electromechanical system (MEMS) vector hydrophones [...] Read more.
The vector hydrophone is playing a more and more prominent role in underwater acoustic engineering, and it is a research hotspot in many countries; however, it also has some shortcomings. For the mixed problem involving received signals in micro-electromechanical system (MEMS) vector hydrophones in the presence of a large amount of external environment noise, noise and drift inevitably occur. The distortion phenomenon makes further signal detection and recognition difficult. In this study, a new method for denoising MEMS vector hydrophones by combining ensemble empirical mode decomposition (EEMD) and singular spectrum analysis (SSA) is proposed to improve the utilization of received signals. First, the main frequency of the noise signal is transformed using a Fourier transform. Then, the noise signal is decomposed by EEMD to obtain the intrinsic mode function (IMF) component. The frequency of each IMF component in the center further determines that the IMF component belongs to the noise IMF component, invalid IMF component, or pure IMF component. Then, there are pure IMF reserved components, removing noisy IMF components and invalid IMF components. Finally, the desalinated IMF reconstructs the signal through SSA to obtain the denoised signal, which realizes the denoising processing of the signal, extracting the useful signal and removing the drift. The role of SSA is to effectively separate the trend noise and the periodic vibration noise. Compared to EEMD and SSA separately, the proposed EEMD-SSA algorithm has a better denoising effect and can achieve the removal of drift. Following that, EEMD-SSA is used to process the data measured by Fenhe. The experiment is carried out by the North University of China. The simulation and lake test results show that the proposed EEMD-SSA has certain practical research value. Full article
(This article belongs to the Special Issue MEMS Sensors and Actuators: Design, Fabrication and Applications)
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<p>Flowchart of the EEMD-SSA algorithm.</p>
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<p>Original signal of Equation (<a href="#FD8-micromachines-15-01183" class="html-disp-formula">8</a>).</p>
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<p>IMF signal and corresponding spectrum of Equation (<a href="#FD8-micromachines-15-01183" class="html-disp-formula">8</a>).</p>
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<p>IMF signal and corresponding spectrum of Equation (<a href="#FD8-micromachines-15-01183" class="html-disp-formula">8</a>).</p>
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<p>The denoising result of EEMD algorithm of Equation (<a href="#FD8-micromachines-15-01183" class="html-disp-formula">8</a>).</p>
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<p>The denoising result of SSA algorithm of Equation (<a href="#FD8-micromachines-15-01183" class="html-disp-formula">8</a>).</p>
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<p>The denoising result of SSA algorithm of Equation (<a href="#FD8-micromachines-15-01183" class="html-disp-formula">8</a>).</p>
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<p>Time domain signals of different methods of Equation (<a href="#FD8-micromachines-15-01183" class="html-disp-formula">8</a>).</p>
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<p>Comparison of denoising results of different algorithms of Equation (<a href="#FD8-micromachines-15-01183" class="html-disp-formula">8</a>).</p>
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<p>Comparison of denoising results of different algorithms of Equation (<a href="#FD8-micromachines-15-01183" class="html-disp-formula">8</a>).</p>
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<p>Original signal of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with −10 dB.</p>
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<p>IMF signal and corresponding spectrum of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with −10 dB.</p>
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<p>The denoising result of EEMD algorithm of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with −10 dB.</p>
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<p>The denoising result of SSA algorithm of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with −10 dB.</p>
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<p>Time-domain signals of different methods of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with −10 dB.</p>
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<p>Comparison of denoising results of different algorithms of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with −10 dB.</p>
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<p>Original signal of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with 10 dB.</p>
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<p>IMF signal and corresponding spectrum of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with 10 dB.</p>
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<p>The denoising result of EEMD algorithm of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with 10 dB.</p>
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<p>The denoising result of SSA algorithm of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with 10 dB.</p>
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<p>Time domain signals of different methods of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with 10 dB.</p>
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<p>Comparison of denoising results of different algorithms of Equation (<a href="#FD9-micromachines-15-01183" class="html-disp-formula">9</a>) with 10 dB.</p>
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<p>Experimental process.</p>
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<p>Measured signal of MEMS hydorphone.</p>
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<p>IMF signal and corresponding spectrum of measured signal.</p>
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<p>The denoising result of EEMD algorithm of measured signal.</p>
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<p>The denoising result of SSA algorithm of measured signal.</p>
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<p>Comparison of denoising results of different algorithms of measured signal.</p>
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14 pages, 4692 KiB  
Article
Experimental Study of Surface Microtexture Formed by Laser-Induced Cavitation Bubble on 7050 Aluminum Alloy
by Bin Li, Byung-Won Min, Yingxian Ma, Rui Zhou, Hai Gu and Yupeng Cao
Coatings 2024, 14(9), 1230; https://doi.org/10.3390/coatings14091230 - 23 Sep 2024
Viewed by 746
Abstract
In order to study the feasibility of forming microtexture at the surface of 7050 aluminum alloy by laser-induced cavitation bubble, and how the density of microtexture influences its tribological properties, the evolution of the cavitation bubble was captured by a high-speed camera, and [...] Read more.
In order to study the feasibility of forming microtexture at the surface of 7050 aluminum alloy by laser-induced cavitation bubble, and how the density of microtexture influences its tribological properties, the evolution of the cavitation bubble was captured by a high-speed camera, and the underwater acoustic signal of evolution was collected by a fiber optic hydrophone system. This combined approach was used to study the effect of the cavitation bubble on 7050 aluminum alloy. The surface morphology of the microtexture was analyzed by a confocal microscope, and the tribological properties of the microtexture were analyzed by a friction testing machine. Then the feasibility of the preparation process was verified and the optimal density was obtained. The study shows that the microtexture on the surface of a sample is formed by the combined results of the plasma shock wave and the collapse shock wave. When the density of microtexture is less than or equal to 19.63%, the diameters of the micropits range from 478 μm to 578 μm, and the depths of the micropits range from 13.56 μm to 18.25 μm. This shows that the laser-induced cavitation bubble is able to form repeatable microtexture. The friction coefficient of the sample with microtexture is lower than that of the untextured sample, with an average friction coefficient of 0.16. This indicates that the microtexture formed by laser-induced cavitation bubble has a good lubrication effect. The sample with a density of 19.63% is uniform and smooth, having the minimum friction coefficient, with an average friction coefficient of 0.14. This paper provides a new approach for microtexture processing of metal materials. Full article
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<p>Schematic diagram of laser-induced cavitation bubble microtexture platform.</p>
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<p>Test equipment: (<b>a</b>) high-speed camera, (<b>b</b>) fiber optic hydrophone, (<b>c</b>) confocal microscope, (<b>d</b>) friction and wear testing machine.</p>
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<p>The route of microtexture formed by laser-induced cavitation bubble.</p>
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<p>Evolution of laser-induced cavitation bubble with an energy of 400 mJ.</p>
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<p>Relationship between size and time of laser-induced cavitation bubble with an energy of 400 mJ.</p>
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<p>Underwater acoustic signal of laser-induced cavitation bubble with energy of 400 mJ.</p>
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<p>The micropitted three-dimensional morphology of the specimen surface: (<b>a</b>) three-dimensional morphology of the micropit, (<b>b</b>) the morphology of the micropit.</p>
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<p>Macroscopic morphology of samples with different densities: (<b>a</b>) 0%, (<b>b</b>) 8.72%, (<b>c</b>) 12.56%, (<b>d</b>) 19.63%, (<b>e</b>) 34.88%.</p>
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<p>Surface 3D morphology of samples with different densities: (<b>a</b>) 8.72%, (<b>b</b>) 12.56%, (<b>c</b>) 19.63%, (<b>d</b>) 34.88%.</p>
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<p>Two-dimensional cross-section of samples with different densities: (<b>a</b>) 8.72%, (<b>b</b>) 12.56%, (<b>c</b>) 19.63%, (<b>d</b>) 34.88%.</p>
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<p>Relationship between mechanical properties of sample and density.</p>
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<p>Friction curves of different microtexture densities. (<b>a</b>) 600S rule of friction coefficient. (<b>b</b>) 50S rule of friction coefficient.</p>
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37 pages, 12365 KiB  
Article
A Novel Underwater Wireless Optical Communication Optical Receiver Decision Unit Strategy Based on a Convolutional Neural Network
by Intesar F. El Ramley, Nada M. Bedaiwi, Yas Al-Hadeethi, Abeer Z. Barasheed, Saleha Al-Zhrani and Mingguang Chen
Mathematics 2024, 12(18), 2805; https://doi.org/10.3390/math12182805 - 10 Sep 2024
Viewed by 950
Abstract
Underwater wireless optical communication (UWOC) systems face challenges due to the significant temporal dispersion caused by the combined effects of scattering, absorption, refractive index variations, optical turbulence, and bio-optical properties. This collective impairment leads to signal distortion and degrades the optical receiver’s bit [...] Read more.
Underwater wireless optical communication (UWOC) systems face challenges due to the significant temporal dispersion caused by the combined effects of scattering, absorption, refractive index variations, optical turbulence, and bio-optical properties. This collective impairment leads to signal distortion and degrades the optical receiver’s bit error rate (BER). Optimising the receiver filter and equaliser design is crucial to enhance receiver performance. However, having an optimal design may not be sufficient to ensure that the receiver decision unit can estimate BER quickly and accurately. This study introduces a novel BER estimation strategy based on a Convolutional Neural Network (CNN) to improve the accuracy and speed of BER estimation performed by the decision unit’s computational processor compared to traditional methods. Our new CNN algorithm utilises the eye diagram (ED) image processing technique. Despite the incomplete definition of the UWOC channel impulse response (CIR), the CNN model is trained to address the nonlinearity of seawater channels under varying noise conditions and increase the reliability of a given UWOC system. The results demonstrate that our CNN-based BER estimation strategy accurately predicts the corresponding signal-to-noise ratio (SNR) and enables reliable BER estimation. Full article
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<p>ML algorithms in optical performance monitoring.</p>
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<p>Eye diagram essential features.</p>
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<p>The layout of a typical UWOC system [<a href="#B62-mathematics-12-02805" class="html-bibr">62</a>].</p>
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<p>Typical direct detection optical receiver model.</p>
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<p>Probability density function (PDF) tails obtained from an eye diagram (ED).</p>
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<p>Density vs. SNR.</p>
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<p>Components and the functions of an artificial neuron.</p>
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<p>A schematic representation of predicting SNRs with various numbers of filters.</p>
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<p>Examples of eye diagram images.</p>
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<p>The CNN architecture.</p>
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<p>The CNN architecture and implementation.</p>
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<p>Scheme of calculating the MAE of True and Predicted data.</p>
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<p>Learning curves of CNN regression models using (<b>a</b>) 16, (<b>b</b>) 20, (<b>c</b>) 24, and (<b>d</b>) 28 filters, measured via loss and RMSE.</p>
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<p>Learning curves of CNN regression models using (<b>a</b>) 32, (<b>b</b>) 36, (<b>c</b>) 40, and (<b>d</b>) 44 filters, measured via loss and RMSE.</p>
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<p>Learning curves of CNN regression models using (<b>a</b>) 32, (<b>b</b>) 36, (<b>c</b>) 40, and (<b>d</b>) 44 filters, measured via loss and RMSE.</p>
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<p>Learning curves of CNN regression models using (<b>a</b>) 48, (<b>b</b>) 52, (<b>c</b>) 56, (<b>d</b>) 60 and (<b>e</b>) 64 filters, measured via loss and RMSE.</p>
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<p>Learning curves of CNN regression models using (<b>a</b>) 48, (<b>b</b>) 52, (<b>c</b>) 56, (<b>d</b>) 60 and (<b>e</b>) 64 filters, measured via loss and RMSE.</p>
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<p>Number of filters vs. training and predicting time for all CNN models.</p>
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<p>Number of filters vs. training and validation for both loss and RMSE for all CNN models.</p>
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<p>Number of filters vs. loss and RMSE ratios for all CNN models.</p>
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<p>Number of filters vs. number of trainable parameters for all CNN models.</p>
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<p>Performance of the CNN models, the true versus the predicted SNR (<b>left</b>) and BER (<b>right</b>) values. Various channel models are employed to simulate the behaviour of water in harbours (represented by the colour blue) and coastal areas (represented by the colour green) for different pulse widths.</p>
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<p>SNR vs. BER for harbour water (<b>left</b>) and coastal water (<b>right</b>). The true (red) and predicted (blue) values are for different pulse widths using different channel models.</p>
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34 pages, 3684 KiB  
Review
Artificial Intelligence-Based Underwater Acoustic Target Recognition: A Survey
by Sheng Feng, Shuqing Ma, Xiaoqian Zhu and Ming Yan
Remote Sens. 2024, 16(17), 3333; https://doi.org/10.3390/rs16173333 - 8 Sep 2024
Viewed by 2237
Abstract
Underwater acoustic target recognition has always played a pivotal role in ocean remote sensing. By analyzing and processing ship-radiated signals, it is possible to determine the type and nature of a target. Historically, traditional signal processing techniques have been employed for target recognition [...] Read more.
Underwater acoustic target recognition has always played a pivotal role in ocean remote sensing. By analyzing and processing ship-radiated signals, it is possible to determine the type and nature of a target. Historically, traditional signal processing techniques have been employed for target recognition in underwater environments, which often exhibit limitations in accuracy and efficiency. In response to these limitations, the integration of artificial intelligence (AI) methods, particularly those leveraging machine learning and deep learning, has attracted increasing attention in recent years. Compared to traditional methods, these intelligent recognition techniques can autonomously, efficiently, and accurately identify underwater targets. This paper comprehensively reviews the contributions of intelligent techniques in underwater acoustic target recognition and outlines potential future directions, offering a forward-looking perspective on how ongoing advancements in AI can further revolutionize underwater acoustic target recognition in ocean remote sensing. Full article
(This article belongs to the Special Issue Ocean Remote Sensing Based on Radar, Sonar and Optical Techniques)
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<p>Schematic illustration of the separability between underwater signals from the perspective of pattern recognition.</p>
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<p>Schematic diagram of a typical underwater signal propagation channel.</p>
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<p>The workflow of a typical intelligent UATR system.</p>
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<p>Physical significance feature of an underwater signal sample, including its LOFAR and DEMON [<a href="#B26-remotesensing-16-03333" class="html-bibr">26</a>] spectrograms.</p>
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<p>An example of a fused LOFAR and DEMON spectrogram with comb filtering [<a href="#B31-remotesensing-16-03333" class="html-bibr">31</a>]. A1–A4 and B1–B3 represent the primary spectral lines.</p>
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<p>The Mel triangular filters implemented by Librosa package.</p>
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<p>Two aspects of the multidimensional features.</p>
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<p>Accuracy comparison using various feature extraction methods with ResNet18 on the Shipsear dataset, as adapted from Wu et al. [<a href="#B64-remotesensing-16-03333" class="html-bibr">64</a>].</p>
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<p>The basic architechture of AE.</p>
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<p>A standard prediction framework of DL-based UATR methods.</p>
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<p>Representative DL neural networks in the field of intelligent UATR. The advantages and disadvantages of each method are marked in red and green, respectively.</p>
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<p>Accuracy comparison with different DNNs on the Deepship dataset. (<b>a</b>) Random partition, adapted from Zhou et al. [<a href="#B119-remotesensing-16-03333" class="html-bibr">119</a>], (<b>b</b>) causal partition, adapted from Irfan et al. [<a href="#B2-remotesensing-16-03333" class="html-bibr">2</a>] and Xu et al. [<a href="#B117-remotesensing-16-03333" class="html-bibr">117</a>].</p>
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<p>The computational units in LSTM.</p>
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<p>The UATR framework based on ResNet18, which commonly accepts the acoustic spectrograms as model input.</p>
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<p>The MHSA mechanism in Transformer. The left side describes the self-attention mechanism, and the right side describes the MHSA. <math display="inline"><semantics> <msub> <mi>W</mi> <mi>q</mi> </msub> </semantics></math>, <math display="inline"><semantics> <msub> <mi>W</mi> <mi>k</mi> </msub> </semantics></math>, <math display="inline"><semantics> <msub> <mi>W</mi> <mi>v</mi> </msub> </semantics></math> comprise the learnable projection matrix.</p>
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<p>Contrastive and generative SSL methods for UATR.</p>
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<p>Accuracy comparison on three few-shot tasks based on Shipsear dataset, as adapted from Cui et al. [<a href="#B179-remotesensing-16-03333" class="html-bibr">179</a>].</p>
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<p>Interpretable methods in intelligent UATR.</p>
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<p>Misclassification caused by adversarial attacks on intelligent UATR systems.</p>
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10 pages, 1605 KiB  
Article
Underwater Acoustic Signal Detection against the Background of Non-Stationary Sea Noise
by Alexander Gennadievich Khobotov, Vera Igorevna Kalinina, Alexander Ivanovich Khil’ko and Alexander Igorevich Malekhanov
J. Mar. Sci. Eng. 2024, 12(9), 1540; https://doi.org/10.3390/jmse12091540 - 4 Sep 2024
Viewed by 518
Abstract
In this paper, we further develop a novel, efficient approach to the problem of signal detection against background noise based on a nonlinear residual functional called the neuron-like criterion function (NCF). A detailed comparison of the NCF-based technique and the conventional correlation criterion [...] Read more.
In this paper, we further develop a novel, efficient approach to the problem of signal detection against background noise based on a nonlinear residual functional called the neuron-like criterion function (NCF). A detailed comparison of the NCF-based technique and the conventional correlation criterion function (CCF)-based matched-signal detection is performed. For this purpose, we calculated the detection performance curves for both techniques and found the range of the problem parameters in which the NCF-based detector shows a certain advantage. The latter consists of achieving a fixed value of detection probability at a lower threshold value of the input signal-to-noise ratio (SNR) compared to the CCF-based detector. Special attention is given to the practically important scenario of receiving a weak signal against the background of non-stationary noise with a certain trend (positive or negative) of its intensity. For these two specific cases, modified NCFs are given, which are then used for computer simulation. For both broadband and narrow-band signals, the quantitative bounds of the most effective use of the derived NCFs are established and interpreted. The real sea noise data obtained from two underwater acoustic arrays, one stationary on the sea bottom and the other towed near the sea surface, are used for experimental validation. The experimental data processing results confirm the simulation results and make it possible to demonstrate the advantage of the NCF if the noise intensity shows a significant trend over the signal observation interval. The latter case obviously corresponds to the use of the towed array in the coastal area. Full article
(This article belongs to the Section Ocean Engineering)
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<p>Performances for the CCF-based (the “CCF” line) and NCF-based (the “NCF” line) detectors in the cases of (<b>a</b>) incremental noise and (<b>b</b>) decremental noise.</p>
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<p>The PCD difference as a function of the NSI value <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>σ</mi> </mrow> </msub> </mrow> </semantics></math> (11) for the broadband test signal: (<b>a</b>) SNR = –24 dB and (<b>b</b>) SNR = –18 dB.</p>
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<p>Similar to <a href="#jmse-12-01540-f002" class="html-fig">Figure 2</a>, but for the narrow-band test signal: (<b>a</b>) SNR = –17 dB and (<b>b</b>) SNR = –13 dB.</p>
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<p>(<b>a</b>) Statistical histograms of sea noise from field experiment No. 1, several samples segments of 2 s each within a total interval of 70 s and (<b>b</b>) detection performances for the data from field experiment No. 1 (line 1—CCF-based detector, line 2—NCF-based detector, line 3—given PCD level <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>P</mi> </mrow> <mrow> <mi>C</mi> <mi>D</mi> </mrow> <mrow> <mi mathvariant="normal">*</mi> </mrow> </msubsup> <mo>=</mo> <mn>0.99</mn> </mrow> </semantics></math>, line 4—the SNR value for CCF obtained for a given PCD level, line 5—the SNR value for NCF obtained for a given PCD level.</p>
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<p>(<b>a</b>) Statistical histograms of sea noise from field experiment No. 2, several samples segments of 1 s each within a total interval of 160 s and (<b>b</b>) detection performances for the data from field experiment No. 2 (line 1—CCF-based detector, line 2—NCF-based detector, line 3—given PCD level <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>P</mi> </mrow> <mrow> <mi>C</mi> <mi>D</mi> </mrow> <mrow> <mi mathvariant="normal">*</mi> </mrow> </msubsup> <mo>=</mo> <mn>0.99</mn> </mrow> </semantics></math>, line 4—the SNR value for CCF obtained for a given PCD level, line 5—the SNR value for NCF obtained for a given PCD level.</p>
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