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31 pages, 2468 KB  
Article
Robust Data-Reuse Regularized Recursive Least-Squares Algorithms for System Identification Applications
by Radu-Andrei Otopeleanu, Constantin Paleologu, Jacob Benesty, Laura-Maria Dogariu, Cristian-Lucian Stanciu and Silviu Ciochină
Sensors 2025, 25(16), 5017; https://doi.org/10.3390/s25165017 - 13 Aug 2025
Viewed by 285
Abstract
The recursive least-squares (RLS) algorithm stands out as an appealing choice in adaptive filtering applications related to system identification problems. This algorithm is able to provide a fast convergence rate for various types of input signals, which represents its main asset. In the [...] Read more.
The recursive least-squares (RLS) algorithm stands out as an appealing choice in adaptive filtering applications related to system identification problems. This algorithm is able to provide a fast convergence rate for various types of input signals, which represents its main asset. In the current paper, we focus on the regularized version of the RLS algorithm, which also owns improved robustness in noisy conditions. Since convergence and robustness are usually conflicting criteria, the data-reuse technique is used to achieve a proper compromise between these performance features. In this context, we develop a computationally efficient approach for the data-reuse process in conjunction with the regularized RLS algorithm, using an equivalent single step instead of multiple iterations (for data-reuse). In addition, different regularization techniques are involved, which lead to variable-regularized algorithms, with time-dependent regularization parameters. This allows a better control in different challenging conditions, including noisy environments and other external disturbances. The resulting data-reuse regularized RLS algorithms are tested in the framework of echo cancellation, where the obtained results support the theoretical findings and indicate the reliable performance of these algorithms. Full article
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18 pages, 5335 KB  
Article
Surface Reflection Suppression Method for Air-Coupled SFCW GPR Systems
by Primož Smogavec and Dušan Gleich
Remote Sens. 2025, 17(10), 1668; https://doi.org/10.3390/rs17101668 - 9 May 2025
Viewed by 782
Abstract
Air-coupled ground penetrating radar (GPR) systems are widely used for subsurface imaging in demining, geological surveys, and infrastructure assessment applications. However, strong surface reflections can introduce interference, leading to receiver saturation and reducing the clarity of subsurface features. This paper presents a novel [...] Read more.
Air-coupled ground penetrating radar (GPR) systems are widely used for subsurface imaging in demining, geological surveys, and infrastructure assessment applications. However, strong surface reflections can introduce interference, leading to receiver saturation and reducing the clarity of subsurface features. This paper presents a novel surface reflection suppression algorithm for stepped-frequency continuous wave (SFCW) GPR systems. The proposed method estimates the surface reflection component and applies phase-compensated subtraction at the receiver site, effectively suppressing background reflections. A modular SFCW radar system was developed and tested in a laboratory setup simulating a low-altitude airborne deployment to validate the proposed approach. B-scan and time-domain analyses demonstrate significant suppression of surface reflections, improving the visibility of subsurface targets. Unlike previous static echo cancellation methods, the proposed method performs on-board pre-downconversion removal of surface clutter that compensates for varying ground distance, which is a unique contribution of this work. Full article
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26 pages, 12288 KB  
Article
Bayesian Distributed Target Detectors in Compound-Gaussian Clutter Against Subspace Interference with Limited Training Data
by Kun Xing, Zhiwen Cao, Weijian Liu, Ning Cui, Zhiyu Wang, Zhongjun Yu and Faxin Yu
Remote Sens. 2025, 17(5), 926; https://doi.org/10.3390/rs17050926 - 5 Mar 2025
Viewed by 740
Abstract
In this article, the problem of Bayesian detecting rank-one distributed targets under subspace interference and compound Gaussian clutter with inverse Gaussian texture is investigated. Due to the clutter heterogeneity, the training data may be insufficient. To tackle this problem, the clutter speckle covariance [...] Read more.
In this article, the problem of Bayesian detecting rank-one distributed targets under subspace interference and compound Gaussian clutter with inverse Gaussian texture is investigated. Due to the clutter heterogeneity, the training data may be insufficient. To tackle this problem, the clutter speckle covariance matrix (CM) is assumed to obey the complex inverse Wishart distribution, and the Bayesian theory is utilized to obtain an effective estimation. Moreover, the target echo is assumed to be with a known steering vector and unknown amplitudes across range cells. The interference is regarded as a steering matrix that is linearly independent of the target steering vector. By utilizing the generalized likelihood ratio test (GLRT), a Bayesian interference-canceling detector that can work in the absence of training data is derived. Moreover, five interference-cancelling detectors based on the maximum a posteriori (MAP) estimate of the speckle CM are proposed with the two-step GLRT, the Rao, Wald, Gradient, and Durbin tests. Experiments with simulated and measured sea clutter data indicate that the Bayesian interference-canceling detectors show better performance than the competitor in scenarios with limited training data. Full article
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22 pages, 454 KB  
Article
Dual-Function Radar Communications: A Secure Optimization Approach Using Partial Group Successive Interference Cancellation
by Mengqiu Chai, Shengjie Zhao and Yuan Liu
Remote Sens. 2025, 17(3), 364; https://doi.org/10.3390/rs17030364 - 22 Jan 2025
Viewed by 1221
Abstract
As one of the promising technologies of 6G, dual-function radar communication (DFRC) integrates communication and radar sensing networks. However, with the application and deployment of DFRC, its security problem has become a significantly important issue. In this paper, we consider the physical layer [...] Read more.
As one of the promising technologies of 6G, dual-function radar communication (DFRC) integrates communication and radar sensing networks. However, with the application and deployment of DFRC, its security problem has become a significantly important issue. In this paper, we consider the physical layer security of a DFRC system where the base station communicates with multiple legitimate users and simultaneously detects the sensing target of interest. The sensing target is also a potential eavesdropper wiretapping the secure transmission. To this end, we proposed a secure design based on partial group successive interference cancellation through fully leveraging the split messages and partially decoding to improve the rate increment of legitimate users. In order to maximize the radar echo signal-to-noise ratio (SNR), we formulate an optimization problem of beamforming and consider introducing new variables and relaxing the problem to solve the non-convexity of the problem. Then, we propose a joint secure beamforming and rate optimization algorithm to solve the problem. Simulation results demonstrate the effectiveness of our design in improving the sensing and secrecy performance of the considered DFRC system. Full article
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19 pages, 8294 KB  
Article
Variable-Step-Size Generalized Maximum Correntropy Affine Projection Algorithm with Sparse Regularization Term
by Haorui Li, Ying Gao, Xinyu Guo and Shifeng Ou
Electronics 2025, 14(2), 291; https://doi.org/10.3390/electronics14020291 - 13 Jan 2025
Viewed by 750
Abstract
Adaptive filtering plays a pivotal role in modern electronic information and communication systems, particularly in dynamic and complex environments. While traditional adaptive algorithms work well in many scenarios, they do not fully exploit the sparsity of the system, which restricts their performance in [...] Read more.
Adaptive filtering plays a pivotal role in modern electronic information and communication systems, particularly in dynamic and complex environments. While traditional adaptive algorithms work well in many scenarios, they do not fully exploit the sparsity of the system, which restricts their performance in the presence of varying noise conditions. To overcome these limitations, this paper proposes a variable-step-size generalized maximum correntropy affine projection algorithm (C-APGMC) with a sparse regularization term. The algorithm leverages the system’s sparsity by using a correlated entropy-inducing metric (CIM), which approximates the l0 norm of the norms, assigning stronger zero-attraction to smaller coefficients at each iteration. Moreover, the algorithm employs a variable-step-size approach guided by the mean square deviation (MSD) criterion. This design seeks to optimize both convergence speed and steady-state performance, improving its adaptability in dynamic environments. The simulation results demonstrate that the algorithm outperforms others in echo cancellation tasks, even in the presence of various noise disturbances. Full article
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18 pages, 381 KB  
Communication
A Fourth-Order Tensorial Wiener Filter Using the Conjugate Gradient Method
by Laura-Maria Dogariu, Ruxandra-Liana Costea, Constantin Paleologu and Jacob Benesty
Symmetry 2024, 16(11), 1433; https://doi.org/10.3390/sym16111433 - 28 Oct 2024
Viewed by 1414
Abstract
The recently developed iterative Wiener filter using a fourth-order tensorial (FOT) decomposition owns appealing performance in the identification of long length impulse responses. It relies on the nearest Kronecker product representation (with particular intrinsic symmetry features), together with low-rank approximations. Nevertheless, this new [...] Read more.
The recently developed iterative Wiener filter using a fourth-order tensorial (FOT) decomposition owns appealing performance in the identification of long length impulse responses. It relies on the nearest Kronecker product representation (with particular intrinsic symmetry features), together with low-rank approximations. Nevertheless, this new iterative filter requires matrix inversion operations when solving the Wiener–Hopf equations associated with the component filters. In this communication, we propose a computationally efficient version that relies on the conjugate gradient (CG) method for solving these sets of equations. The proposed solution involves a specific initialization of the component filters and sequential connections between the CG cycles. Different FOT-based decomposition setups are also analyzed from the point of view of the resulting parameter space. Experimental results obtained in the context of echo cancellation confirm the good behavior of the proposed approach and its superiority in comparison to the conventional Wiener filter and other decomposition-based versions. Full article
(This article belongs to the Special Issue Feature Papers in Section "Engineering and Materials" 2024)
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20 pages, 8590 KB  
Article
Experimental Study of Omnidirectional Scattering Characteristics of Complex Scale Targets Based on Coded Signals
by Yongzhuang Tang, Qidou Zhou, Yucun Pan, Xiaojun Lü and Xiaowei Wang
J. Mar. Sci. Eng. 2024, 12(9), 1590; https://doi.org/10.3390/jmse12091590 - 8 Sep 2024
Viewed by 1210
Abstract
To investigate the omnidirectional geometric scattering characteristics of an underwater vehicle and the target detection performance of phase coded (BPSK) signals, acoustic scattering tests were carried out in an anechoic chamber using the Suboff scale model. To mitigate the overlapping interference of the [...] Read more.
To investigate the omnidirectional geometric scattering characteristics of an underwater vehicle and the target detection performance of phase coded (BPSK) signals, acoustic scattering tests were carried out in an anechoic chamber using the Suboff scale model. To mitigate the overlapping interference of the direct wave on the scattering wave in the limited test space, physical suppression with an “anechoic cloak” and direct wave cancellation were proposed. Target echo and reflection wave tests at different offset angles were carried out, and the accuracy of the BPSK signal in acquiring highlight features and the feasibility of anechoic chamber tests were verified through comparison with theoretical range profiles. A series of echo and omnidirectional scattering characteristics were obtained through the experiment and simulation, which verified the effectiveness of the low-frequency submarine model detection (there were still strong scattering waves at the dimensionless frequency ka = 1.88). Comparison tests of CW, LFM, and BPSK signals were carried out, and the measured data proved that the BPSK signal had the advantages of low sidelobe, high resolution, and noise resistance in target detection. The acoustic scattering test method designed in this study and the omnidirectional scattering characteristics obtained can be used as a reference for semi-physical target acoustic scattering simulations and practical multistatic detection. Full article
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14 pages, 1357 KB  
Article
Combined-Step-Size Affine Projection Andrew’s Sine Estimate for Robust Adaptive Filtering
by Yuhao Wan and Wenyuan Wang
Information 2024, 15(8), 482; https://doi.org/10.3390/info15080482 - 14 Aug 2024
Viewed by 1213
Abstract
Recently, an affine-projection-like M-estimate (APLM) algorithm has gained popularity for its ability to effectively handle impulsive background disturbances. Nevertheless, the APLM algorithm’s performance is negatively affected by steady-state misalignment. To address this issue while maintaining equivalent computational complexity, a robust cost function based [...] Read more.
Recently, an affine-projection-like M-estimate (APLM) algorithm has gained popularity for its ability to effectively handle impulsive background disturbances. Nevertheless, the APLM algorithm’s performance is negatively affected by steady-state misalignment. To address this issue while maintaining equivalent computational complexity, a robust cost function based on the Andrew’s sine estimator (ASE) is introduced and a corresponding affine-projection Andrew’s sine estimator (APASE) algorithm is proposed in this paper. To further enhance the tracking capability and accelerate the convergence rate, we develop the combined-step-size APASE (CSS-APASE) algorithm using a combination of two different step sizes. A series of simulation studies are conducted in system identification and echo cancellation scenarios, which confirms that the proposed algorithms can attain reduced misalignment compared to other currently available algorithms in cases of impulsive noise. Meanwhile, we also establish a bound on the learning rate to ensure the stability of the proposed algorithms. Full article
(This article belongs to the Special Issue Signal Processing and Machine Learning, 2nd Edition)
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23 pages, 8720 KB  
Article
Mitigation of Suppressive Interference in AMPC SAR Based on Digital Beamforming
by Zhipeng Xiao, Feng He, Zaoyu Sun and Zehua Zhang
Remote Sens. 2024, 16(15), 2812; https://doi.org/10.3390/rs16152812 - 31 Jul 2024
Viewed by 1291
Abstract
Multichannel Synthetic Aperture Radar (MC-SAR) systems, such as Azimuth Multi-Phase Centre (AMPC) SAR, provide an effective solution for achieving high-resolution wide-swath (HRWS) imaging by reducing the pulse repetition frequency (PRF) to increase the swath width. However, in an Electronic Countermeasures (ECM) environment, the [...] Read more.
Multichannel Synthetic Aperture Radar (MC-SAR) systems, such as Azimuth Multi-Phase Centre (AMPC) SAR, provide an effective solution for achieving high-resolution wide-swath (HRWS) imaging by reducing the pulse repetition frequency (PRF) to increase the swath width. However, in an Electronic Countermeasures (ECM) environment, the image quality of multichannel SAR systems can be significantly degraded by electromagnetic interference. Previous research into interference and counter-interference techniques has predominantly focused on single-channel SAR systems, with relatively few studies addressing the specific challenges faced by MC-SAR systems. This paper uses the classical spatial filtering technique of adaptive digital beamforming (DBF). Considering the Doppler ambiguity present in the echoes, two schemes—Interference Reconstruction And Cancellation (IRC) and Channel Grouping Nulling (CGN)—are designed to effectively eliminate suppressive interference. The IRC method eliminates the effects of interference without losing spatial degrees of freedom, ensuring effective suppression of Doppler ambiguity in subsequent processing. This method shows significant advantages under conditions of strong Doppler ambiguity and low jammer-to-signal ratio. Conversely, the CGN method mitigates the effect of interference on multichannel imaging at the expense of degrees of freedom redundant to Doppler ambiguity suppression. It shows remarkable interference suppression performance under weak-Doppler-ambiguity conditions, allowing for better image recovery. Simulations performed on point and distributed targets have validated that the proposed methods can effectively remove interfering signals and achieve high-resolution wide-swath (HRWS) SAR images. Full article
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11 pages, 2992 KB  
Communication
A High-Speed Acoustic Echo Canceller Based on Grey Wolf Optimization and Particle Swarm Optimization Algorithms
by Eduardo Pichardo, Juan G. Avalos, Giovanny Sánchez, Eduardo Vazquez and Linda K. Toscano
Biomimetics 2024, 9(7), 381; https://doi.org/10.3390/biomimetics9070381 - 23 Jun 2024
Cited by 1 | Viewed by 1408
Abstract
Currently, the use of acoustic echo cancellers (AECs) plays a crucial role in IoT applications, such as voice control appliances, hands-free telephony and intelligent voice control devices, among others. Therefore, these IoT devices are mostly controlled by voice commands. However, the performance of [...] Read more.
Currently, the use of acoustic echo cancellers (AECs) plays a crucial role in IoT applications, such as voice control appliances, hands-free telephony and intelligent voice control devices, among others. Therefore, these IoT devices are mostly controlled by voice commands. However, the performance of these devices is significantly affected by echo noise in real acoustic environments. Despite good results being achieved in terms of echo noise reductions using conventional adaptive filtering based on gradient optimization algorithms, recently, the use of bio-inspired algorithms has attracted significant attention in the science community, since these algorithms exhibit a faster convergence rate when compared with gradient optimization algorithms. To date, several authors have tried to develop high-performance AEC systems to offer high-quality and realistic sound. In this work, we present a new AEC system based on the grey wolf optimization (GWO) and particle swarm optimization (PSO) algorithms to guarantee a higher convergence speed compared with previously reported solutions. This improvement potentially allows for high tracking capabilities. This aspect has special relevance in real acoustic environments since it indicates the rate at which noise is reduced. Full article
(This article belongs to the Special Issue Nature-Inspired Metaheuristic Optimization Algorithms 2024)
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32 pages, 3781 KB  
Article
Spatial Simultaneous Functioning-Based Joint Design of Communication and Sensing Systems in Wireless Channels
by Pham Ngoc Luat, Attaphongse Taparugssanagorn, Kamol Kaemarungsi and Chatchamon Phoojaroenchanachai
Appl. Sci. 2024, 14(12), 5319; https://doi.org/10.3390/app14125319 - 20 Jun 2024
Cited by 1 | Viewed by 1634
Abstract
This paper advocates for spatial simultaneous functioning (SSF) over time division multiple access (TDMA) in joint communication and sensing (JCAS) scenarios for improved resource utilization and reduced interference. SSF enables the concurrent operation of communication and sensing systems, enhancing flexibility and efficiency, especially [...] Read more.
This paper advocates for spatial simultaneous functioning (SSF) over time division multiple access (TDMA) in joint communication and sensing (JCAS) scenarios for improved resource utilization and reduced interference. SSF enables the concurrent operation of communication and sensing systems, enhancing flexibility and efficiency, especially in dynamic environments. The study introduces joint design communication and sensing scenarios for single input single output (SISO) and multiple input multiple output (MIMO) JCAS receivers. An MIMO-JCAS base station (BS) is proposed to process downlink communication signals and echo signals from targets simultaneously using interference cancellation techniques. We evaluate the communication performance and sensing estimation across both Rayleigh and measured realistic channels. Additionally, a deep neural network (DNN)-based approach for channel estimation and signal detection in JCAS systems is presented. The DNN outperforms the traditional methods in the bit error rate (BER) versus signal-to-noise ratio (SNR) curves, leveraging its ability to learn complex patterns autonomously. The DNN’s training process fine-tunes the performance based on specific problem characteristics, capturing the nuanced relationships within data and adapting to varying SNR conditions for consistently superior performance compared to the traditional approaches. Full article
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17 pages, 1050 KB  
Article
Kalman Filter Using a Third-Order Tensorial Decomposition of the Impulse Response
by Laura-Maria Dogariu, Constantin Paleologu, Jacob Benesty and Felix Albu
Appl. Sci. 2024, 14(11), 4507; https://doi.org/10.3390/app14114507 - 24 May 2024
Viewed by 1218
Abstract
For system identification problems associated with long-length impulse responses, the recently developed decomposition-based technique that relies on a third-order tensor (TOT) framework represents a reliable choice. It is based on a combination of three shorter filters, which merge their estimates in tandem with [...] Read more.
For system identification problems associated with long-length impulse responses, the recently developed decomposition-based technique that relies on a third-order tensor (TOT) framework represents a reliable choice. It is based on a combination of three shorter filters, which merge their estimates in tandem with the Kronecker product. In this way, the global impulse response is modeled in a more efficient manner, with a significantly reduced parameter space (i.e., fewer coefficients). In this paper, we further develop a Kalman filter based on the TOT decomposition method. As compared to the recently designed recursive least-squares (RLS) counterpart, the proposed Kalman filter achieves superior performance in terms of the main criteria (e.g., tracking and accuracy). In addition, it significantly outperforms the conventional Kalman filter, while also having a lower computational complexity. Simulation results obtained in the context of echo cancellation support the theoretical framework and the related advantages. Full article
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21 pages, 1205 KB  
Article
On the Regularization of Recursive Least-Squares Adaptive Algorithms Using Line Search Methods
by Cristian-Lucian Stanciu, Cristian Anghel, Ionuț-Dorinel Fîciu, Camelia Elisei-Iliescu, Mihnea-Radu Udrea and Lucian Stanciu
Electronics 2024, 13(8), 1479; https://doi.org/10.3390/electronics13081479 - 13 Apr 2024
Viewed by 1396
Abstract
Stereophonic acoustic echo cancellation (SAEC) requires the identification of four unknown impulse responses corresponding to four loudspeaker-to-microphone pairs. Recent developments in the field of adaptive filters for SAEC setups have allowed for the handling of a single complex-valued adaptive impulse response, instead of [...] Read more.
Stereophonic acoustic echo cancellation (SAEC) requires the identification of four unknown impulse responses corresponding to four loudspeaker-to-microphone pairs. Recent developments in the field of adaptive filters for SAEC setups have allowed for the handling of a single complex-valued adaptive impulse response, instead of the four classical real-valued adaptive filters. With the simplified framework provided by the widely linear (WL) model, more advanced versions of recursive least-squares (RLS) were employed in order to take advantage of their superior tracking speeds when working with highly correlated input signals (such as speech). Despite the performances and numerical stability provided by using exponentially weighted versions of the RLS family in combination with line search methods (LSMs), the SAEC configurations have limited capabilities in mitigating the negative effects caused by high-level disturbances affecting the two microphone signals. Such is the case of double-talk scenarios, which considerably reduce the update accuracy of the adaptive system. This paper analyzes a regularization technique for the named WL-RLS-LSM adaptive filters by adjusting the correlation matrix associated with the input signals and creating a reaction in the update process. The proposed method is designed to considerably slow (or even freeze) the adaptation process while the disturbance is manifested. Simulation results are discussed in order to validate the theoretical content. Full article
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24 pages, 12173 KB  
Article
Sea Clutter Suppression Based on Chaotic Prediction Model by Combining the Generator and Long Short-Term Memory Networks
by Jindong Yu, Baojing Pan, Ze Yu, Hongling Zhu, Hanfu Li, Chao Li and Hezhi Sun
Remote Sens. 2024, 16(7), 1260; https://doi.org/10.3390/rs16071260 - 2 Apr 2024
Viewed by 2364
Abstract
Sea clutter usually greatly affects the target detection and identification performance of marine surveillance radars. In order to reduce the impact of sea clutter, a novel sea clutter suppression method based on chaos prediction is proposed in this paper. The method combines a [...] Read more.
Sea clutter usually greatly affects the target detection and identification performance of marine surveillance radars. In order to reduce the impact of sea clutter, a novel sea clutter suppression method based on chaos prediction is proposed in this paper. The method combines a generator trained by Generative Adversarial Networks (GAN) with a Long Short-Term Memory (LSTM) network to accomplish sea clutter prediction. By exploiting the generator’s ability to learn the distribution of unlabeled data, the accuracy of sea clutter prediction is improved compared with the classical LSTM-based model. Furthermore, effective suppression of sea clutter and improvements in the signal-to-clutter ratio of echo were achieved through clutter cancellation. Experimental results on real data demonstrated the effectiveness of the proposed method. Full article
(This article belongs to the Special Issue SAR Data Processing and Applications Based on Machine Learning Method)
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17 pages, 9152 KB  
Article
Ultrasonic Through-Metal Communication Based on Deep-Learning-Assisted Echo Cancellation
by Jinya Zhang, Min Jiang, Jingyi Zhang, Mengchen Gu and Ziping Cao
Sensors 2024, 24(7), 2141; https://doi.org/10.3390/s24072141 - 27 Mar 2024
Cited by 1 | Viewed by 1870
Abstract
Ultrasound is extremely efficient for wireless signal transmission through metal barriers due to no limit of the Faraday shielding effect. Echoing in the ultrasonic channel is one of the most challenging obstacles to performing high-quality communication, which is generally coped with by using [...] Read more.
Ultrasound is extremely efficient for wireless signal transmission through metal barriers due to no limit of the Faraday shielding effect. Echoing in the ultrasonic channel is one of the most challenging obstacles to performing high-quality communication, which is generally coped with by using a channel equalizer or pre-distorting filter. In this study, a deep learning algorithm called a dual-path recurrent neural network (DPRNN) was investigated for echo cancellation in an ultrasonic through-metal communication system. The actual system was constructed based on the combination of software and hardware, consisting of a pair of ultrasonic transducers, an FPGA module, some lab-made circuits, etc. The approach of DPRNN echo cancellation was applied to signals with a different signal-to-noise ratio (SNR) at a 2 Mbps transmission rate, achieving higher than 20 dB SNR improvement for all situations. Furthermore, this approach was successfully used for image transmission through a 50 mm thick aluminum plate, exhibiting a 24.8 dB peak-signal-to-noise ratio (PSNR) and a about 95% structural similarity index measure (SSIM). Additionally, compared with three other echo cancellation methods—LMS, RLS and PNLMS—DPRNN has demonstrated higher efficiency. All those results firmly validate that the DPRNN algorithm is a powerful tool to conduct echo cancellation and enhance the performance of ultrasonic through-metal transmission. Full article
(This article belongs to the Special Issue Ultrasound Imaging and Sensing for Nondestructive Testing)
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