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Matrix representations of Toeplitz-plus-Hankel matrix inverses
Linear Algebra and its Applications, 1989 Some matrix representations for the inverses of Toeplitz-plus-Hankel \((T+H)\) matrices are given as well as for \(T+H\)-Bézoutians introduced before by the authors. This representation is given as sum of products of triangular \(T+H\)-matrices. The conditions for these inverses are determined by some columns and rows of the inverse matrix or by ...
Heinig, Georg, Rost, Karla
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Two-Snapshot DOA Estimation Via Hankel-Structured Matrix Completion
ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2022 In this paper, we study the problem of estimating the direction of arrival (DOA) using a sparsely sampled uniform linear array (ULA). Based on an initial incomplete ULA measurement, our strategy is to choose a sparse subset of array elements for measuring the next snapshot.
Bokaei, Mohammad +3 more
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Applications of Hankel and Regular Matrices in Fourier Series
Abstract and Applied Analysis, 2013 Recently, Alghamdi and Mursaleen (2013) used the Hankel matrix to determine the necessary and suffcient condition to find the sum of the Walsh-Fourier series.
Abdullah Alotaibi, M. Mursaleen
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Electronics Letters, 1991 A new property of Hankel matrix is presented which can be used to compute the characteristic polynomial of the system from the measurements of its impulse-response data. The property is also illustrated by a numerical example.
V. Sreeram, A.Y. Zomaya
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Simultaneously Low Rank and Group Sparse Decomposition for Rolling Bearing Fault Diagnosis
Sensors, 2020 Singular value decomposition (SVD) methods have aroused wide concern to extract the periodic impulses for bearing fault diagnosis. The state-of-the-art SVD methods mainly focus on the low rank property of the Hankel matrix for the fault feature, which ...
Kai Zheng +5 more
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Hankel matrix-based denoising for statistical damage diagnosis
, 2022 ISBN:978-84-09-44336 ...
Gres, Szymon +3 more
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Journal of Marine Science and Engineering, 2021 This paper focuses on the formulation of state–space representations of radiation forces for marine structures using Hankel Singular Value Decomposition (HSVD), a method used to obtain a state–space realization from a Hankel matrix, with the classical ...
Romain Lecuyer-Le Bris +3 more
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Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices
Special Matrices, 2016 In this paper, we obtain an eigenvalue decomposition for any complex skew-persymmetric anti-tridiagonal Hankel matrix where the eigenvector matrix is orthogonal.
Gutiérrez-Gutiérrez Jesús +1 more
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Structural-Missing Tensor Completion for Robust DOA Estimation with Sensor Failure
Applied Sciences, 2023 Array sensor failure poses a serious challenge to robust direction-of-arrival (DOA) estimation in complicated environments. Although existing matrix completion methods can successfully recover the damaged signals of an impaired sensor array, they cannot ...
Bin Li +4 more
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Abstract and Applied Analysis, 2014 This paper investigates the Hankel norm filter design problem for stochastic time-delay systems, which are represented by Takagi-Sugeno (T-S) fuzzy model.
Yanhui Li, Xiujie Zhou
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