Results 21 to 30 of about 26,525 (190)
IEEE Transactions on Quantum Engineering, 2023 The structured matrix completion problem (SMCP) is ubiquitous in several signal processing applications. In this article, we consider a fixed pattern, namely, the Hankel-structure for the SMCP under quantum formalism. By exploiting its structure, a lower-
Mostafizur Rahaman Laskar +1 more
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Analytical solutions to some generalized and polynomial eigenvalue problems
Special Matrices, 2021 It is well-known that the finite difference discretization of the Laplacian eigenvalue problem −Δu = λu leads to a matrix eigenvalue problem (EVP) Ax =λx where the matrix A is Toeplitz-plus-Hankel.
Deng Quanling
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IET Signal Processing, 2021 The nuclear magnetic resonance (NMR) spectroscopy has fruitful applications in chemistry, biology and life sciences, but suffers from long acquisition time.
Zhangren Tu +7 more
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Toeplitz versus Hankel: semibounded operators [PDF]
Opuscula Mathematica, 2018 Our goal is to compare various results for Toeplitz \(T\) and Hankel \(H\) operators. We consider semibounded operators and find necessary and sufficient conditions for their quadratic forms to be closable. This property allows one to define \(T\) and \(
Dmitri R. Yafaev
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Buildings, 2022 With the advantage of non-contact measurement, ground-based synthetic aperture radar (GB-SAR) has been widely used to obtain the dynamic deflection of various bridges.
Xianglei Liu +4 more
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Hankel matrix transforms and operators [PDF]
Journal of Inequalities and Applications, 2012 The article under review concerns Hankel matrices and Hankel operators. Reviewer's remark: The paper contains errors. In particular, the paper contains the following result: Theorem 3.1. A Hankel matrix is regular if and only if (i) \(\lim_{n\to\infty}h_{n+k}=0\). (ii) \(\lim_{n\to\infty}\sum_{k=1}^\infty h_{n+k}=1\). (iii) \(\sup_n\sum_{k=1}^\infty|h_{
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Sensors, 2021 Signal denoising is one of the most important issues in signal processing, and various techniques have been proposed to address this issue. A combined method involving wavelet decomposition and multiscale principal component analysis (MSPCA) has been ...
Kang Peng, Hongyang Guo, Xueyi Shang
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A Hankel Matrix Acting on Spaces of Analytic Functions [PDF]
Integral Equations and Operator Theory, 2017 If $ $ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_ $ be the Hankel matrix $\mathcal H_ =( _{n, k})_{n,k\ge 0}$ with entries $ _{n, k}= _{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $ _n$ denotes the moment of order $n$ of $ $. This matrix induces formally the operator $$\mathcal{H}_ (f)(z)= \sum_{n=0}^{\infty}\left(\
Daniel Girela, Noel Merchán
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Efficient Beampattern Synthesis for Sparse Frequency Diverse Array via Matrix Pencil Method
Sensors, 2022 Due to the introduction of frequency offsets, the pattern synthesis problem of sparse Frequency diverse array (FDA) becomes more complicated than that of the phased array. A typical way to solve this problem is to use a global optimization algorithm, but
Xiaolang Shao +5 more
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Foundations of system theory: The hankel matrix
Journal of Computer and System Sciences, 1980 AbstractAfter introducing the notion of “dynamical interpretation functor” to provide a general methodology for nonlinear state-space description, we define the Hankel matrix for an arbitrary adjoint system. This returns the usual definition for linear systems, but also applies to sequential machines, group machines, and bilinear machines.
Arbib, Michael A., Manes, Ernest G.
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