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Exploring high-order correlation for hyperspectral image denoising with hypergraph convolutional network 利用超图卷积网络探索高光谱图像去噪的高阶相关性
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-25 DOI: 10.1016/j.sigpro.2024.109718
Jun Zhang , Yaoxin Tan , Xiaohui Wei
High-order correlation is an important property of hyperspectral images (HSIs) and has been widely investigated in model-based HSI denoising. However, the existing deep learning-based HSI denoising approaches have not fully utilized the high-order correlation. Hypergraph convolutional networks have shown great potential in capturing the high-order correlation. Therefore, in this paper, we propose a novel HSI denoising method by employing hypergraph convolution to characterize the high-order correlation at the patch level. Specifically, our framework is a symmetrically skip-connected 3D encoder–decoder architecture, which enhances the extraction and utilization of local features. Furthermore, to integrate competently the hypergraph convolutional modules into the 3D framework, we devise a dimensional transformation module that facilitates the fusion of 3D convolution and hypergraph convolution. Notably, in the hypergraph convolution operation, we use a data-driven technique to acquire the incidence matrix of a hypergraph, efficiently constructing the HSI into a high-order structure. Our proposed method excels in HSI denoising performance compared to state-of-the-art approaches, evidenced by extensive experiments on synthetic and real-world noisy HSIs.
高阶相关性是高光谱图像(HSI)的一个重要特性,在基于模型的 HSI 去噪中得到了广泛研究。然而,现有的基于深度学习的高光谱去噪方法并未充分利用高阶相关性。超图卷积网络在捕捉高阶相关性方面表现出了巨大的潜力。因此,在本文中,我们提出了一种新颖的 HSI 去噪方法,利用超图卷积来表征补丁级的高阶相关性。具体来说,我们的框架是一个对称跳接的三维编码器-解码器架构,它增强了对局部特征的提取和利用。此外,为了将超图卷积模块有效地集成到三维框架中,我们设计了一个维度转换模块,以促进三维卷积和超图卷积的融合。值得注意的是,在超图卷积操作中,我们使用了数据驱动技术来获取超图的入射矩阵,从而有效地将 HSI 构建为高阶结构。与最先进的方法相比,我们提出的方法在 HSI 去噪性能方面表现出色,在合成和真实世界的高噪声 HSI 上进行的大量实验证明了这一点。
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引用次数: 0
Paramps: Convolutional neural networks based on tensor decomposition for heart sound signal analysis and cardiovascular disease diagnosis 帕兰普斯基于张量分解的卷积神经网络用于心音信号分析和心血管疾病诊断
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-24 DOI: 10.1016/j.sigpro.2024.109716
Lin Duan , Lidong Yang , Yong Guo
Currently, convolutional neural networks have demonstrated outstanding efficiency in heart sound detection and automatic diagnosis of cardiovascular diseases. However, due to the non-stationary nature and complex data patterns caused by environmental noise and stethoscope differences, traditional neural networks are limited in extracting discriminative features. This article proposes a convolutional neural network based on tensor decomposition to address this issue. This model uses a convolutional neural network with four parallel structures to extract audio features of heart sound signals and introduces a tensor network to use tensor decomposition to perform low-rank approximation on the convolutional kernel, compress model parameters, reduce redundancy, and improve performance. When processing feature data, the model divides large areas of features into locally unordered small areas to achieve feature compression and reorganization, ensuring that crucial information is preserved while compressing parameters. The model can accurately capture spatial structural information and critical features by refining the matrix product state layer. Experiments were conducted on the 2016 PhysioNet/CinC Challenge and the Yaseen heart sound public dataset, the experimental results show that the proposed method has an accuracy of 96.4% and 99.2% on two datasets, specificity of 99.1% and 99.8%, demonstrating its excellent generalization ability and diagnostic accuracy.
目前,卷积神经网络在心音检测和心血管疾病自动诊断方面表现出了卓越的效率。然而,由于环境噪声和听诊器差异造成的非平稳性和复杂的数据模式,传统神经网络在提取判别特征方面受到限制。本文提出了一种基于张量分解的卷积神经网络来解决这一问题。该模型使用具有四种并行结构的卷积神经网络提取心音信号的音频特征,并引入张量网络,利用张量分解对卷积核进行低秩逼近,压缩模型参数,减少冗余,提高性能。在处理特征数据时,该模型将大面积的特征划分为局部无序的小区域,实现特征压缩和重组,确保在压缩参数的同时保留关键信息。该模型通过细化矩阵乘积状态层,可以准确捕捉空间结构信息和关键特征。实验在2016年PhysioNet/CinC挑战赛和Yaseen心音公共数据集上进行,实验结果表明,所提方法在两个数据集上的准确率分别为96.4%和99.2%,特异性分别为99.1%和99.8%,显示了其出色的泛化能力和诊断准确性。
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引用次数: 0
Sparse recovery using expanders via hard thresholding algorithm 通过硬阈值算法使用扩展器进行稀疏恢复
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-24 DOI: 10.1016/j.sigpro.2024.109715
Kun-Kai Wen, Jia-Xin He, Peng Li
Expanders play an important role in combinatorial compressed sensing. Via expanders measurements, we propose the expander normalized heavy ball hard thresholding algorithm (ENHB-HT) based on expander iterative hard thresholding (E-IHT) algorithm. We provide convergence analysis of ENHB-HT, and it turns out that ENHB-HT can recover an s-sparse signal if the measurement matrix A{0,1}m×n satisfies some mild conditions. Numerical experiments are simulated to support our two main theorems which describe the convergence rate and the accuracy of the proposed algorithm. Simulations are also performed to compare the performance of ENHB-HT and several existing algorithms under different types of noise, the empirical results demonstrate that our algorithm outperform a few existing ones in the presence of outliers.
扩展器在组合压缩传感中发挥着重要作用。通过扩展器测量,我们在扩展器迭代硬阈值算法(E-IHT)的基础上提出了扩展器归一化重球硬阈值算法(ENHB-HT)。我们提供了 ENHB-HT 的收敛性分析,结果表明,如果测量矩阵 A∈{0,1}m×n 满足一些温和条件,ENHB-HT 可以恢复 s 稀疏信号。我们模拟了数值实验来支持我们的两个主要定理,这两个定理描述了所提算法的收敛速度和准确性。模拟实验还比较了 ENHB-HT 和几种现有算法在不同类型噪声下的性能,实证结果表明,在存在异常值的情况下,我们的算法优于几种现有算法。
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引用次数: 0
High-resolution multicomponent LFM parameter estimation based on deep learning 基于深度学习的高分辨率多分量 LFM 参数估计
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-18 DOI: 10.1016/j.sigpro.2024.109714
BeiMing Yan, Yong Li, Wei Cheng, Limeng Dong, Qianlan Kou

This paper addresses the complex challenge of parameter estimation in multi-component Linear Frequency Modulation (LFM) signals by introducing an innovative approach to high-resolution Fractional Fourier Transform (FrFT) parameter estimation, facilitated by convolutional neural networks. Initially, it analyzes the issues of peak shifts and the masking of weaker components due to spectral overlap in the FrFT domain of multi-component LFM signals. Convolutional neural networks are then employed to train and achieve high-resolution representations of FrFT parameters. Specifically, convolutional modules with residual structures are utilized to learn coarse features, while a weighted attention mechanism refines independent features across both channel and spatial dimensions. This approach effectively addresses the challenges posed by spectral peak overlap and frequency shifts in multi-component LFM signals, thereby enhancing the quality of high-resolution parameter estimation. Experimental results demonstrate that the proposed method significantly outperforms traditional methods in processing multi-component LFM signals. Moreover, it exhibits robust detection capabilities for both weak and compact components, thereby underscoring its potential applicability in the field of complex signal processing.

本文针对多分量线性频率调制(LFM)信号参数估计的复杂挑战,引入了一种创新的高分辨率分式傅里叶变换(FrFT)参数估计方法,并通过卷积神经网络加以辅助。首先,它分析了多分量 LFM 信号的 FrFT 域中由于频谱重叠造成的峰值偏移和较弱分量的掩蔽问题。然后采用卷积神经网络来训练和实现 FrFT 参数的高分辨率表示。具体来说,利用具有残差结构的卷积模块来学习粗略特征,同时利用加权注意机制来完善跨信道和空间维度的独立特征。这种方法有效地解决了多分量 LFM 信号中频谱峰重叠和频率偏移带来的挑战,从而提高了高分辨率参数估计的质量。实验结果表明,在处理多分量 LFM 信号时,所提出的方法明显优于传统方法。此外,它对弱分量和紧凑分量都表现出了强大的检测能力,从而凸显了其在复杂信号处理领域的潜在适用性。
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引用次数: 0
Channel estimation for Massive MIMO systems aided by intelligent reflecting surface using semi-super resolution GAN 利用半超分辨率广义泛函模型,在智能反射面辅助下进行大规模多输入多输出(MIMO)系统信道估计
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-16 DOI: 10.1016/j.sigpro.2024.109710
Mehrdad Momen-Tayefeh , Mehrshad Momen-Tayefeh , S. AmirAli GH. Ghahramani , Ali Mohammad Afshin Hemmatyar

Intelligent Reflecting Surfaces (IRSs) coupled with Massive Multiple-Input-Multiple-Output (MIMO) millimeter wave (mmWave) systems hold immense promise for the next generation of wireless communications. However, harnessing their full potential requires accurate channel state information (CSI). Despite the benefits of IRSs, such as passive element integration and energy efficiency, precise channel estimation becomes a formidable challenge due to the absence of active elements. In this paper, we tackle these challenges by employing generative adversarial networks (GANs) to estimate the channel’s cascade matrix between the base station (BS) and mobile users. To leverage the high correlation among adjacent elements in the IRS, we propose turning off a majority of these elements during the estimation phase, effectively creating a low-resolution channel. We then introduce the semi-super resolution GAN (SSRGAN) model, capable of inferring channel values for the deactivated elements based on existing correlations. Our new SSRGAN-based channel estimation method transforms low-resolution channel data into high-resolution channel data. Through a comprehensive comparative analysis, our study showcases the superior performance of our SSRGAN channel estimation method compared to established benchmark schemes.

智能反射面(IRS)与大规模多输入多输出(MIMO)毫米波(mmWave)系统相结合,为下一代无线通信带来了巨大前景。然而,要充分发挥其潜力,需要准确的信道状态信息(CSI)。尽管 IRS 具有无源元件集成和节能等优点,但由于缺乏有源元件,精确信道估计成为一项艰巨的挑战。在本文中,我们采用生成对抗网络(GAN)来估计基站(BS)和移动用户之间的信道级联矩阵,从而应对这些挑战。为了利用 IRS 中相邻元素之间的高相关性,我们建议在估计阶段关闭这些元素中的大部分,从而有效地创建一个低分辨率信道。然后,我们引入了半超分辨率广义广域网(SSRGAN)模型,该模型能够根据现有相关性推断出停用信元的信道值。我们基于 SSRGAN 的新信道估计方法可将低分辨率信道数据转换为高分辨率信道数据。通过全面的比较分析,我们的研究展示了 SSRGAN 信道估计方法与现有基准方案相比的优越性能。
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引用次数: 0
Design of optimum two-dimensional non-redundant arrays 设计最佳二维非冗余阵列
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-15 DOI: 10.1016/j.sigpro.2024.109713
Seyed Mohammad Hosseini, Mahmood Karimi
Recent advancements in array signal processing focus on enhancing source detection and reducing the effects of mutual coupling among array elements. This has been achieved using Direction of Arrival (DOA) estimation via virtual arrays formed by sparse arrays. Non-Redundant Arrays (NRAs) are a very common structure among sparse arrays. Traditionally, one-dimensional NRAs capture either azimuth or elevation angles of sources, but practical scenarios often require both simultaneously. This paper introduces optimized methods for designing two-dimensional (2-D) NRAs to address this need. In addition to the optimized design approach for creating 2-D NRAs with minimum aperture, the optimized design approaches for creating 2-D NRAs with desired aperture, with minimized mutual coupling effect and with hybrid of both are proposed. The designed arrays can be in the form of a rectangle or a regular polygon with the number of sides being a multiple of 4. The proposed array design methods significantly enhance the flexibility in designing NRAs, allowing the creation of various array configurations for any desired number of sensors. Simulation results show that the proposed arrays outperform the existing 2-D arrays in estimating the DOAs of signal sources and show more robustness against the effects of mutual coupling.
阵列信号处理的最新进展主要集中在增强信号源检测和减少阵列元素之间相互耦合的影响上。通过稀疏阵列形成的虚拟阵列进行到达方向(DOA)估计,可以实现这一目标。非冗余阵列(NRA)是稀疏阵列中一种非常常见的结构。传统上,一维非冗余阵列只能捕捉信号源的方位角或仰角,但实际应用中往往需要同时捕捉这两个角度。本文介绍了设计二维(2-D)NRA 的优化方法,以满足这一需求。除了创建具有最小孔径的二维 NRA 的优化设计方法外,还提出了创建具有所需孔径、相互耦合效应最小以及两者混合的二维 NRA 的优化设计方法。所设计的阵列可以是矩形,也可以是边数为 4 倍的正多边形。所提出的阵列设计方法大大提高了设计 NRA 的灵活性,可以为任何所需数量的传感器创建各种阵列配置。仿真结果表明,所提出的阵列在估计信号源的 DOAs 方面优于现有的二维阵列,并且在抵御相互耦合影响方面表现出更强的鲁棒性。
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引用次数: 0
Smooth robust principal component analysis based on multidimensional transform tensor for dynamic MRI 基于多维变换张量的动态磁共振成像平滑稳健主成分分析
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-15 DOI: 10.1016/j.sigpro.2024.109712
Xiaotong Liu, Jingfei He, Zehan Wang, Chenghu Mi
Dynamic magnetic resonance imaging (DMRI) stands as a sophisticated medical imaging technique pivotal to clinical practice, but the protracted duration of its imaging poses a substantial constraint on its practical application. This paper introduces a smooth robust principal component analysis model based on multidimensional transform tensors for accelerating DMR imaging. Specifically, the proposed method breaks down data into low-rank and sparse parts for reconstruction, respectively. The low-rank part employs a multidimensional adaptive transformation framework to generate transform tensors with favorable low-rank properties along three dimensions of DMR data. As for the sparse part, precise reconstruction can be achieved with the sparsity of the data after sparse transformation. In addition, to enhance the preservation of image details, this paper introduces a novel weighted tensor total variation regularization, imposing varying degrees of constraints based on smoothness in different dimensions. Experimental results demonstrate that the proposed method realizes superior reconstruction effects in comparison to existing advanced methods.
动态磁共振成像(DMRI)是一种对临床实践至关重要的复杂医学成像技术,但其成像时间较长,对其实际应用造成了很大限制。本文介绍了一种基于多维变换张量的平滑稳健主成分分析模型,用于加速 DMR 成像。具体来说,所提出的方法将数据分解为低秩和稀疏两部分,分别进行重建。低秩部分采用多维自适应变换框架,沿着 DMR 数据的三个维度生成具有良好低秩特性的变换张量。至于稀疏部分,可以利用稀疏变换后数据的稀疏性实现精确重建。此外,为了更好地保留图像细节,本文引入了一种新颖的加权张量总变化正则化方法,根据不同维度的平滑度施加不同程度的约束。实验结果表明,与现有的先进方法相比,本文提出的方法实现了更优越的重建效果。
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引用次数: 0
Relative entropy based uncertainty principles for graph signals 基于相对熵的图信号不确定性原理
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-14 DOI: 10.1016/j.sigpro.2024.109708
Xu Guanlei, Xu Xiaogang , Wang Xiaotong

In physical quantum mechanics, the uncertainty principle in presence of quantum memory [Berta M, Christandl M, Colbeck R,et al., Nature Physics] can reach much lower bound, which has resulted in a huge breakthrough in quantum mechanics. Inspired by this idea, this paper would propose some novel uncertainty relations in terms of relative entropy for signal representation and time-frequency resolution analysis. On one hand, the relative entropy measures the distinguishability between the known (priori) basis and the client basis, which implies that we have partial “memory” of the client basis so that the uncertainty bounds become sharper in some cases. On the other hand, in some cases, if the reference basis along with nearly the same energy distribution could be given, then the uncertainty bound would tend to zero, as shows that there is no uncertainty any longer. These novel uncertainty relationships with sharper bounds would give us the potential advantages over the classical counterpart. In addition, the detailed comparison with classical Shannon entropy based uncertainty principle has been addressed as well via combined uncertainty relations. Finally, the theoretical analysis and numerical experiments on certain application over graph signals have been demonstrated to show the efficiency of these proposed relations.

在物理量子力学中,量子记忆存在时的不确定性原理 [Berta M, Christandl M, Colbeck R,et al., Nature Physics]可以达到更低的边界,这使得量子力学取得了巨大突破。受此启发,本文将从相对熵的角度提出一些新的不确定性关系,用于信号表示和时频分辨率分析。一方面,相对熵衡量了已知(先验)基础和客户基础之间的可区分性,这意味着我们对客户基础有部分 "记忆",因此在某些情况下不确定性边界会变得更清晰。另一方面,在某些情况下,如果能给出能量分布几乎相同的参考基础,那么不确定性边界将趋于零,这表明不再存在不确定性。这些边界更清晰的新型不确定性关系将为我们带来超越经典不确定性关系的潜在优势。此外,我们还通过组合不确定性关系与基于香农熵的经典不确定性原理进行了详细比较。最后,我们还对图信号的某些应用进行了理论分析和数值实验,以显示这些拟议关系的效率。
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引用次数: 0
Optimal prototype filter design in GFDM systems for self-interference elimination: A novel signal processing approach GFDM 系统中消除自干扰的最佳原型滤波器设计:一种新颖的信号处理方法
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-12 DOI: 10.1016/j.sigpro.2024.109711
Behzad Mozaffari Tazehkand , Mohammad Reza Ghavidel Aghdam , Reza Abdolee , Aysan Kamyab

We present an innovative conceptual framework and a comprehensive mathematical model to advance the understanding and mitigation of self-interference phenomena within generalized frequency division multiplexing (GFDM). By introducing a novel analytical perspective, we decompose the self-interference effects inherent to GFDM into two orthogonal constituents through a vectorized representation. Our elucidation of the self-interference components in terms of prototype filter parameters in the frequency domain is of particular significance. This theoretical characterization allows us to derive explicit analytical expressions, thereby paving the way for the proposition of an optimal filter design strategy that effectively mitigates self-interference distortions within GFDM systems. Our investigation reveals a noteworthy linkage between the required bandwidth allocation for individual subcarriers and the sub-symbol configuration within the proposed optimal prototype filter. This relationship underscores the filter’s adeptness in optimizing spectrum utilization across the system. Through an analytical examination of the bit error rate (BER) performance within the GFDM framework, we establish the superior efficacy of our proposed optimal filter design relative to contemporary approaches documented in extant literature. Validation of our analytical findings is conducted via meticulous computer simulations, where a strong concurrence between the analytical predictions and the observed simulation outcomes is manifest.

我们提出了一个创新的概念框架和一个全面的数学模型,以促进对广义频分复用(GFDM)中自干扰现象的理解和缓解。通过引入新颖的分析视角,我们通过矢量化表示法将 GFDM 固有的自干扰效应分解为两个正交成分。我们从频域原型滤波器参数的角度阐明了自干扰成分,这一点具有特别重要的意义。这种理论表征使我们能够推导出明确的分析表达式,从而为提出最佳滤波器设计策略铺平了道路,该策略可有效减轻 GFDM 系统中的自干扰失真。我们的研究揭示了单个子载波所需的带宽分配与所提议的最佳原型滤波器中的子符号配置之间存在着值得注意的联系。这种关系强调了滤波器在优化整个系统频谱利用率方面的能力。通过对 GFDM 框架内误码率 (BER) 性能的分析检验,我们确定了与现有文献中记载的当代方法相比,我们提出的优化滤波器设计具有卓越的功效。我们通过缜密的计算机仿真验证了我们的分析结果,结果表明分析预测与观察到的仿真结果非常吻合。
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引用次数: 0
Improved event-based fault detection filter for networked fuzzy systems under DoS attacks 基于事件的网络模糊系统在 DoS 攻击下的改进型故障检测滤波器
IF 3.4 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-09-12 DOI: 10.1016/j.sigpro.2024.109699
Di Lun , Huiyan Zhang , Yongchao Liu , Ning Zhao , Wudhichai Assawinchaichote

This paper investigates an improved event-based fault detection method for networked fuzzy systems under denial-of-service (DoS) attacks. In order to solve the bandwidth occupation problem of communication network, a resilient event-triggered transmission strategy is developed. Additionally, a fault detection filter is designed to estimate the time of fault occurrence by using the residual signal. Under this framework, a novel Lyapunov functional related to attack parameters is established to analyze the exponential convergence of the error signals, and the filter gains and event-triggered parameters are obtained by solving linear matrix inequalities. The designed functional reduces the conservatism of the stability criteria significantly in contrast with the previous discontinuous Lyapunov functionals. Finally, a simulation example is provided to verify the effectiveness of the proposed method.

本文针对拒绝服务(DoS)攻击下的网络模糊系统,研究了一种改进的基于事件的故障检测方法。为了解决通信网络的带宽占用问题,本文开发了一种弹性事件触发传输策略。此外,还设计了一种故障检测滤波器,利用残差信号估计故障发生的时间。在此框架下,建立了与攻击参数相关的新型 Lyapunov 函数来分析误差信号的指数收敛性,并通过求解线性矩阵不等式获得滤波器增益和事件触发参数。与之前的非连续 Lyapunov 函数相比,所设计的函数大大降低了稳定性标准的保守性。最后,我们提供了一个仿真实例来验证所提方法的有效性。
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引用次数: 0
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Signal Processing
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