Results 41 to 50 of about 26,670 (208)
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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Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols [PDF]
, 2014 We develop the spectral and scattering theory for self-adjoint Hankel operators $H$ with piecewise continuous symbols. In this case every jump of the symbol gives rise to a band of the absolutely continuous spectrum of $H$.
Pushnitski, Alexander, Yafaev, Dmitri
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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.
Albert Y. Zomaya, V. Sreeram
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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.
Michael A. Arbib, Ernest G. Manes
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The Lanczos algorithm and Hankel matrix factorization
Linear Algebra and its Applications, 1992 AbstractWe explore the connections between the Lanczos algorithm for matrix tridiagonalization and two fast algorithms for Hankel matrix factorization. We show how the asymmetric Lanczos process is related to the Berlekamp-Massey algorithm, and how the symmetrized Lanczos process is related to the Phillips algorithm.
Tong J. Lee +2 more
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Relatively Prime Polynomials and Nonsingular Hankel Matrices over Finite Fields [PDF]
, 2010 The probability for two monic polynomials of a positive degree n with coefficients in the finite field F_q to be relatively prime turns out to be identical with the probability for an n x n Hankel matrix over F_q to be nonsingular.
Benjamin +13 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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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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Factorizations of Hermitian block Hankel matrices [PDF]
, 1992 The basic results of N.I. Achiezer and M.G. Krein from the classical polynomial moment theory are concerned with certain representations of elements of a positive difinite Hankel matrix.
Tismenetsky, Miron
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Matrix representations of Toeplitz-plus-Hankel matrix inverses
Linear Algebra and its Applications, 1989 AbstractInverses of Toeplitz-plus-Hankel matrices and, more generally, T+H-Bezoutians are represented as sums of products of triangular Toeplitz and Hankel matrices. The parameters occurring in these representations can be determined with the help of (1) solutions of “fundamental equations,” (2) solutions of a certain homogeneous equation, and (3 ...
Georg Heinig, Karla Rost
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