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2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)最新文献

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Improved DOA estimators using partial relaxation approach 改进的部分松弛方法的DOA估计
Minh Trinh-Hoang, M. Viberg, M. Pesavento
In this paper, the partial relaxation approach is introduced and applied to DOA estimation using spectral search. Unlike existing methods like Capon or MUSIC which can be considered as single source approximations of multi-source estimation criteria, the proposed approach accounts for the existence of multiple sources. At each direction, the manifold structure of interfering signals impinging on the sensor array is relaxed, which results in closed form estimates for the interference parameters. The conventional multidimensional optimization problem reduces, thanks to this relaxation, to a simple spectral search. Following this principle, proposed estimators based on the Deterministic Maximum Likelihood, Weighted Subspace Fitting and Covariance Fitting method are derived. Simulation results show that the performance of the proposed estimators is superior to conventional methods especially in the case of low SNR and low number of snapshots, irrespectively of the special structure of the sensor array.
本文介绍了部分松弛方法,并将其应用于基于谱搜索的DOA估计中。与Capon或MUSIC等现有方法不同,这些方法可以被认为是多源估计准则的单源近似,所提出的方法考虑了多源的存在。在每个方向上,对冲击传感器阵列的干扰信号的流形结构进行松弛,得到了干扰参数的封闭估计。由于这种松弛,传统的多维优化问题简化为简单的谱搜索。根据这一原则,提出了基于确定性极大似然、加权子空间拟合和协方差拟合的估计方法。仿真结果表明,无论传感器阵列的特殊结构如何,在低信噪比和低快照数的情况下,所提估计器的性能都优于传统的估计方法。
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引用次数: 7
Energy efficient transmission in MIMO interference channels with QoS constraints 具有QoS约束的MIMO干扰信道中的节能传输
Yang Yang, M. Pesavento
In this paper, we consider the energy efficiency maximization problem in MIMO interference channels where all users have a guaranteed minimum transmission rate. To solve this optimization problem with a nonconcave objective function and a nonconvex constraint set, we extend the recently developed successive pseudoconvex approximation framework and propose a novel iterative algorithm that has the following advantages: 1) fast convergence, as the structure of the original optimization problem is preserved as much as possible in the approximate problem solved in each iteration, 2) efficient implementation, as each approximate problem is natural for parallel computation and its solution has a closed-form expression, and 3) guaranteed convergence to a Karush-Kuhn-Tucker (KKT) point.
本文研究了MIMO干扰信道中所有用户都有最小传输速率保证的能效最大化问题。为了解决这一具有非凹目标函数和非凸约束集的优化问题,我们扩展了最近发展的连续伪凸近似框架,并提出了一种新的迭代算法,该算法具有以下优点:1)收敛速度快,在每次迭代求解的近似问题中尽可能地保留了原优化问题的结构;2)实现效率高,每个近似问题对并行计算是自然的,其解具有封闭形式的表达式;3)保证收敛到KKT点。
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引用次数: 1
L1-PCA signal subspace identification for non-sphered data under the ICA model ICA模型下非球面数据的L1-PCA信号子空间识别
R. Martín-Clemente, V. Zarzoso
Principal component analysis (PCA) is an ubiquitous data compression and feature extraction technique in signal processing and machine learning. As compared with the classical L2-norm PCA, its L1-norm version offers increased robustness to outliers that are usually present in faulty data. Recently, L1-PCA was shown to perform source recovery when the observed data follow an independent component analysis (ICA) model. However, proof of this result requires the data to be sphered, i.e., to be preprocessed to constrain their covariance matrix to be the identity. The present contribution extends this result by relaxing the sphering assumption and allowing the data to have arbitrary covariance matrix. We prove that L1-PCA is indeed able to identify the mixing matrix columns associated with the strongest independent sources, thus performing signal subspace identification with improved robustness to outliers. Numerical experiments illustrate and confirm the theoretical findings.
主成分分析(PCA)是一种在信号处理和机器学习中广泛应用的数据压缩和特征提取技术。与经典的l2范数PCA相比,它的l1范数版本对通常存在于错误数据中的异常值提供了更高的鲁棒性。最近,L1-PCA被证明可以在观测数据遵循独立分量分析(ICA)模型的情况下进行源恢复。然而,证明这一结果需要对数据进行球体化,即对其进行预处理以约束其协方差矩阵为单位。本文通过放宽球化假设,允许数据具有任意协方差矩阵,扩展了这一结果。我们证明了L1-PCA确实能够识别与最强独立源相关的混合矩阵列,从而执行信号子空间识别,提高了对异常值的鲁棒性。数值实验验证了理论结果。
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引用次数: 1
Robust-COMET for covariance estimation in convex structures: Algorithm and statistical properties 凸结构中协方差估计的鲁棒- comet:算法和统计性质
Bruno Mériaux, Chengfang Ren, M. Korso, A. Breloy, P. Forster
This paper deals with structured covariance matrix estimation in a robust statistical framework. Covariance matrices often exhibit a particular structure related to the application of interest and taking this structure into account increases estimation accuracy. Within the framework of robust estimation, the class of circular Complex Elliptically Symmetric (CES) distributions is particularly interesting to handle impulsive and spiky data. Normalized CES random vectors are known to share a common Complex Angular Elliptical distribution. In this context, we propose a Robust Covariance Matrix Estimation Technique (RCOMET) based on Tyler's estimate and COMET criterion for convexly structured matrices. We prove that the proposed estimator is consistent and asymptotically efficient while computationally attractive. Numerical results support the theoretical analysis in a particular application for Hermitian Toeplitz structure.
本文研究了在稳健统计框架下的结构化协方差矩阵估计问题。协方差矩阵通常表现出与感兴趣的应用相关的特定结构,考虑这种结构可以提高估计的准确性。在鲁棒估计的框架内,圆形复椭圆对称分布(CES)类对于处理脉冲和尖形数据特别有趣。已知归一化CES随机向量共享一个共同的复角椭圆分布。在此背景下,我们提出了一种基于Tyler估计和COMET准则的凸结构矩阵鲁棒协方差矩阵估计技术(RCOMET)。我们证明了所提出的估计量是一致的和渐近有效的,并且在计算上是有吸引力的。数值结果支持了厄米图普利兹结构在特定应用中的理论分析。
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引用次数: 6
A comparison of iterative and DFT-Based polynomial matrix eigenvalue decompositions 迭代与基于dft的多项式矩阵特征值分解的比较
Fraser K. Coutts, K. Thompson, I. Proudler, Stephan Weiss
A variety of algorithms have been developed to compute an approximate polynomial matrix eigenvalue decomposition (PEVD). As an extension of the ordinary EVD to polynomial matrices, the PEVD will generate paraunitary matrices that diagonalise a parahermitian matrix. This paper compares the decomposition accuracies of two fundamentally different methods capable of computing an approximate PEVD. The first of these — sequential matrix diagonalisation (SMD) — iteratively decomposes a parahermitian matrix, while the second DFT-based algorithm computes a pointwise in frequency decomposition. We demonstrate through the use of examples that both algorithms can achieve varying levels of decomposition accuracy, and provide results that indicate the type of broadband multichannel problems that are better suited to each algorithm. It is shown that iterative methods, which generate paraunitary eigenvectors, are suited for general applications with a low number of sensors, while a DFT-based approach is useful for fixed, finite order decompositions with a small number of lags.
各种算法已经发展计算近似多项式矩阵特征值分解(PEVD)。作为普通EVD到多项式矩阵的扩展,PEVD将生成对角化拟多项式矩阵的拟多项式矩阵。本文比较了计算近似PEVD的两种基本不同方法的分解精度。其中第一个-序列矩阵对角化(SMD) -迭代分解parparhertian矩阵,而第二个基于dft的算法在频率分解中计算逐点。我们通过使用示例演示了两种算法都可以达到不同程度的分解精度,并提供了表明更适合每种算法的宽带多通道问题类型的结果。结果表明,生成准酉特征向量的迭代方法适用于传感器数量较少的一般应用,而基于dft的方法适用于具有少量滞后的固定有限阶分解。
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引用次数: 13
Restricted update sequential matrix diagonalisation for parahermitian matrices 共轭矩阵的限制更新顺序矩阵对角化
Fraser K. Coutts, K. Thompson, I. Proudler, Stephan Weiss
A number of algorithms capable of iteratively calculating a polynomial matrix eigenvalue decomposition (PEVD) have been introduced. The PEVD is an extension of the ordinary EVD to polynomial matrices and will diagonalise a parahermitian matrix using paraunitary operations. This paper introduces a novel restricted update approach for the sequential matrix diagonalisation (SMD) PEVD algorithm, which can be implemented with minimal impact on algorithm accuracy and convergence. We demonstrate that by using the proposed restricted update SMD (RU-SMD) algorithm instead of SMD, PEVD complexity and execution time can be significantly reduced. This reduction impacts on a number of broadband multichannel problems.
介绍了一些能够迭代计算多项式矩阵特征值分解(PEVD)的算法。PEVD是将普通EVD扩展到多项式矩阵,并将使用拟合运算对角化拟合矩阵。针对序列矩阵对角化(SMD) PEVD算法,提出了一种新的限制更新方法,该方法可以在对算法精度和收敛性影响最小的情况下实现。研究表明,采用本文提出的受限更新SMD (RU-SMD)算法代替SMD算法,可以显著降低PEVD的复杂度和执行时间。这种减少影响了许多宽带多通道问题。
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引用次数: 5
Performance of range-only TMA 全距离TMA性能
Annie-Claude Pérez, C. Jauffret, D. Pillon
Range-only target motion analysis (ROTMA) is the topic of this paper: we focus our study on the numerical aspect and performance of the maximum likelihood estimates (MLE) for some scenarios when the noise polluting the measurements is additive and Gaussian. The performance is compared to the Cramér-Rao lower bound (CRLB).
本文的主题是仅距离目标运动分析(ROTMA),我们重点研究了测量噪声为加性和高斯噪声时的最大似然估计(MLE)的数值方面和性能。并将其性能与cram - rao下限(CRLB)进行了比较。
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引用次数: 1
Sparse Bayesian learning with dictionary refinement for super-resolution through time 稀疏贝叶斯学习与字典细化超分辨率随时间
D. Shutin, B. Vexler
This work proposes an extension of a sparse Bayesian learning with dictionary refinement (SBL-DR) algorithm for a super-resolution estimation of time-varying sparse signals. Such signals are represented as a superposition of unknown but fixed number of Dirac measures with a time-varying support; as such the signal is sparse at each moment of time yet locations of Dirac measures are allowed to vary. To recover such signals an optimization framework is proposed that combines SBL-DR techniques and a penalty term that imposes smoothness constraints on the support variations in time. In contrast to state-of-the-art approaches, which typically combine parameter estimation schemes with some tracking filters, the proposed approach leads to a single objective function that permits a joint recovery of a sparse superposition of time-varying functions (trajectories). A numerical algorithm for efficient optimization of the corresponding cost function is proposed and analyzed; its performance is compared to a Kalman Enhanced Superresolution Tracking algorithm on an example of estimating parameters of time-varying multipath channels.
本文提出了一种基于字典细化(SBL-DR)算法的稀疏贝叶斯学习的扩展,用于时变稀疏信号的超分辨率估计。这样的信号被表示为未知但固定数量的狄拉克测度与时变支持的叠加;因此,信号在每个时刻都是稀疏的,但狄拉克测量的位置是允许变化的。为了恢复这些信号,提出了一个优化框架,该框架结合了SBL-DR技术和一个惩罚项,该惩罚项对支持随时间变化施加平滑约束。与最先进的方法(通常将参数估计方案与一些跟踪滤波器相结合)相比,所提出的方法导致单个目标函数,该目标函数允许时变函数(轨迹)的稀疏叠加的联合恢复。提出并分析了相应成本函数高效优化的数值算法;以时变多径信道参数估计为例,比较了该算法与卡尔曼增强超分辨率跟踪算法的性能。
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引用次数: 4
Deep robust regression 深度稳健回归
Tzvi Diskin, Gordana Drašković, F. Pascal, A. Wiesel
In this paper, we consider the use of deep neural networks in the context of robust regression. We address the standard linear model with observations that are corrupted by outliers. We build upon Huber's robust regression and the classical least trimmed squares estimator, and propose a deep neural network that generalizes both and provides high accuracy with low computational complexity. The network is trained for arbitrary linear models using a single training phase. Numerical experiments with synthetic data demonstrate that the network can handle on a large range of Signal-to-Noise Ratio (SNR) and is robust to different types of outliers.
在本文中,我们考虑在鲁棒回归的背景下使用深度神经网络。我们用被异常值破坏的观测值来处理标准线性模型。我们在Huber的稳健回归和经典的最小裁剪二乘估计器的基础上,提出了一种深度神经网络,它可以推广两者,并提供高精度和低计算复杂度。使用单个训练阶段对网络进行任意线性模型的训练。用合成数据进行的数值实验表明,该网络可以处理大范围的信噪比,对不同类型的异常值具有较强的鲁棒性。
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引用次数: 5
Parameter estimation in block term decomposition for noninvasive atrial fibrillation analysis 无创房颤分析分项分解中的参数估计
V. Zarzoso
Atrial fibrillation (AF) is the most common sustained cardiac arrhythmia encountered in clinical practice. Recently, a tensor decomposition approach has been put forward for noninvasive analysis of AF from surface electrocardiogram (ECG) records. Multilead ECG data are stored in tensor form and factorized via the block term decomposition (BTD). An accurate selection of parameters, including the number of block terms and the rank of the Hankel matrix factors, is necessary to guarantee physiologically significant results by this approach. The present work proposes to estimate the matrix rank by exploiting the characteristics of atrial activity during AF, which can be approximated by an autoregressive (AR) model in short records. To test this idea, three AR model order estimates are considered: Akaike's information criterion, minimum description length and partial autocorrelation function. The quality of the resulting tensor decompositions is evaluated in terms of both computational and physiologically related indices. Numerical experiments demonstrate that these model order estimation methods can find matrix rank values leading to accurate BTD approximations of the AF ECG tensor and physiologically plausible results.
心房颤动(AF)是临床上最常见的持续性心律失常。近年来,人们提出了一种张量分解方法,用于体表心电图(ECG)记录中AF的无创分析。多导联心电数据以张量形式存储,并通过分块项分解(BTD)进行分解。准确选择参数,包括块项的数量和汉克尔矩阵因子的秩,是保证这种方法在生理上显著的结果所必需的。本研究提出利用房颤期间心房活动的特征来估计矩阵秩,这可以用短记录的自回归(AR)模型来近似。为了验证这一想法,我们考虑了三个AR模型的阶数估计:赤池信息准则、最小描述长度和部分自相关函数。所得到的张量分解的质量是根据计算和生理相关指标来评估的。数值实验表明,这些模型阶数估计方法可以找到矩阵秩值,从而得到准确的AF心电张量的BTD近似和生理上合理的结果。
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引用次数: 17
期刊
2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
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