Results 161 to 170 of about 26,525 (190)

Signal denoising using Hankel matrix rank reduction

Proceedings of the Twenty-First National Radio Science Conference, 2004. NRSC 2004., 2004
In this paper, signal denoising is achieved through a procedure consisting of rank reduction of the signal's Hankel matrix, then Hankel matrix restoration and finally projecting the enhanced signal on an optimally chosen signal space to get rid of the orthogonal noise components.
M.F. Fahmy, Y.M.Y. Hasan
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The core invertibility of a companion matrix and a Hankel matrix

Linear and Multilinear Algebra, 2018
ABSTRACTIn 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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Exponential Decomposition and Hankel Matrix

2002
Abstract We consider an important problem in mathematical modeling. Exponential decomposition. Given a finite sequence of signal values We usually solve the above problem in three steps. First, determine the rank r of the signal sequence. Second, find the knots z;.
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Approximate realization based upon an alternative to the Hankel matrix: the Page matrix

Systems & Control Letters, 1982
The 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.
Damen, A. A.H., van den Hof, P. M.J., Hajdasinski, A. K.   +2 more
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On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials

Complex Analysis and Operator Theory, 2014
The authors study how orthogonal matrix polynomials and related second kind polynomials which correspond to sequences generated by right(left)-sided \(\alpha\)-shifting [\textit{B. Fritzsche} et al., Linear Algebra Appl. 439, No. 12, 3893--3933 (2013; Zbl 1283.44003)] or by ``two-sided'' \(a-b\)-shifting are connected with polynomials generated by the ...
Rivero, Abdon E. Choque, Mädler, Conrad
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Hankel matrix transformation of the Walsh–Fourier series

Applied Mathematics and Computation, 2013
The 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 A. Alghamdi, M. Mursaleen
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A Hankel matrix approach to stochastic model reduction

IEEE Transactions on Automatic Control, 1985
This short paper presents a procedure for obtaining a reduced-order state variable model for a stationary Gaussian process. This procedure uses the stochastic realization theory presented in earlier papers by the second author [e.g., Stochastics 7, 1-27 (1982; Zbl 0498.60038)] and the Hankel matrix results by \textit{V. M. Adamyan}, \textit{D. Z. Arov}
Bacon, Barton J., Frazho, Arthur E.
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Controllability indices, observability indices and the Hankel matrix

International Journal of Control, 1981
A procedure is presented for determining the controllability indices and the observability indices of a linear, time-invariant, strictly proper, controllable and observable system from the truncated Hankel matrix.
TRIFON G. KOUSSIOURIS, GEORGE P. KAFIRIS
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Hankel Matrix and Singular Value Decomposition

1990
This chapter constructs a Hankel matrix from auto-covariance matrices of time series which are used in Chapter 9 to estimate system matrices in the state space models for the data-generating processes. This chapter describes several concepts and relations needed in the later chapters.
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On Hankel Matrix Approximations and Stochastic Model Reduction

IFAC Proceedings Volumes, 1985
Abstract A procedure for stochastic model reduction is presented by using the Hankel matrix results of Adamjan, Arov and Krein. It is shown that the error of the resulting Mth-order approximation is bounded from above by the M + 1 singular value of the system's Hankel matrix.
B.J. Bacon, A.E. Frazho
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