Results 31 to 40 of about 3,062 (211)
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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Hankel operators that commute with second order differential operators. [PDF]
, 2007 Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on $L^2(0, \infty )$ with kernel $\phi (x+y)$ and that $Lf=-(d/dx)(a(x)df/dx)+b(x)f(x) with $a(0)=0$.
Gordon Blower, Blower, Gordon
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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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On determinants identity minus Hankel matrix [PDF]
Bulletin of the London Mathematical Society, 2019 In this note, we study the asymptotics of the determinant $\det(I_N - βH_N)$ for $N$ large, where $H_N$ is the $N\times N$ restriction of a Hankel matrix $H$ with finitely many jump discontinuities in its symbol satisfying $\|H\|\leq 1$. Moreover, we assume $β\in\mathbb C$ with $|β|<1$ and $I_N$ denotes the identity matrix.
Fedele, Emilio, Gebert, Martin
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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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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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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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Linear systems and determinantal random point fields. [PDF]
, 2008 Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
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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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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
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