Low rank based FAZ segmentation in OCTA images. [PDF]
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A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids. [PDF]
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Glycolic Acid-Guided Intelligent Neurovascular Imaging: A Cross-Scale Platform for Real-Time Neuroprotection and Adaptive Stroke Imaging. [PDF]
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Ultralow-Dimensionality Reduction for Identifying Critical Transitions by Spatial-Temporal PCA. [PDF]
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Hankel matrix transformation of the Walsh–Fourier series
Applied Mathematics and Computation, 2013The Hankel matrix has various applications. In this paper we prove that Hankel matrix is strongly regular and apply to obtain the necessary and sufficient conditions to sum the Walsh-Fourier series of a function of bounded variation.
Mohammed I Alghamdi, M Mursaleen
exaly +3 more sources
Testing the rank of the Hankel covariance matrix: a statistical approach
IEEE Transactions on Automatic Control, 2001Summary: The rank of a Hankel matrix, corresponding to a system transfer function, is equal to the order of its minimal state space realization. The computation of the rank of a Hankel matrix is complicated by the fact that its block elements are rarely given exactly but are estimated instead. In this note, we propose new statistical tests to determine
Gonzalo Camba-Mendez, George Kapetanios
exaly +4 more sources
Approximate realization based upon an alternative to the Hankel matrix: the Page matrix
Systems and Control Letters, 1982The Ho-Kalman algorithm creates a minimum realization of a system, when given a series of deterministic Markov parameters. However, when such a 'truncated' series of Markov parameters has been disturbed with noise, an approximating Hankel matrix has to be constructed for applying the realization algorithm.
P M J van den Hof
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System Approximation via Restructured Hankel Matrix
Circuits, Systems, and Signal Processing, 2021This paper presents a modified minimal realization technique to reduce single input single output (SISO) systems from higher-order SISO systems. The reduction process is based on restructuring the Hankel matrix, which consists of two major elements, i.e., Time Moments and Markov parameters.
Ramveer Singh Sengar +2 more
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The core invertibility of a companion matrix and a Hankel matrix
Linear and Multilinear Algebra, 2018ABSTRACTIn this paper, we show that the lower companion matrix associated with the monic polynomial over a ring with unity is core invertible if and only if there exist solutions x and y to (i) , (ii) , (iii) , (iv) In addition, some methods of characterizing and computing the core inverse of a Hankel matrix and a Toeplitz matrix over a field are ...
Tingting Li, Jianlong Chen
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A Hankel matrix acting on Fock spaces
Journal of Nonlinear and Variational Analysis, 2023Summary: Let \(\nu\) be a positive Borel measure on the interval \([0,\infty)\). Let \(\mathcal{H}_\nu=(\nu_{n,k})_{n,k\geq 0}\) be the Hankel matrix with entries \(\nu_{n,k}=\int_{[0,\infty)}\frac{ t^{n+k}}{n!}\,d\nu(t)\). The matrix \(\mathcal{H}_\nu\) induces formally the operator \(\mathcal{H}_\nu(f)(z)=\sum_{n=0}^{\infty}(\sum_{k=0}^{\infty}\nu_{n,
Zhuo, Zhengyuan +3 more
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