Results 11 to 20 of about 1,581,020 (197)
Integrable operators and squares of Hankel operators. [PDF]
, 2008 Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
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Hankel operators that commute with second order differential operators. [PDF]
, 2008 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 $a(0)=0$.
Blower, Gordon
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Singular Spectrum Analysis for Modal Estimation from Stationary Response Only
Sensors, 2022 Conventional experimental modal analysis uses excitation and response information to estimate the frequency response function. However, many engineering structures face excitation signals that are difficult to measure, so output-only modal estimation is ...
Chang-Sheng Lin, Yi-Xiu Wu
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Exponential Signal Reconstruction With Deep Hankel Matrix Factorization [PDF]
IEEE Transactions on Neural Networks and Learning Systems, 2023 Exponential is a basic signal form, and how to fast acquire this signal is one of the fundamental problems and frontiers in signal processing. To achieve this goal, partial data may be acquired but result in the severe artifacts in its spectrum, which is the Fourier transform of exponentials. Thus, reliable spectrum reconstruction is highly expected in
Yihui Huang +5 more
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A Hankel Matrix Acting on Spaces of Analytic Functions [PDF]
Integral Equations and Operator Theory, 2017 If $μ$ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_μ$ be the Hankel matrix $\mathcal H_μ=(μ_{n, k})_{n,k\ge 0}$ with entries $μ_{n, k}=μ_{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $μ_n$ denotes the moment of order $n$ of $μ$. This matrix induces formally the operator $$\mathcal{H}_μ(f)(z)= \sum_{n=0}^{\infty}\left(\sum_{k=0}
Daniel Girela, Noel Merchán
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Robust low‐rank Hankel matrix recovery for skywave radar slow‐time samples
IET Radar, Sonar & Navigation, 2021 In skywave radar, the slow‐time samples received in a certain range‐azimuth cell are usually processed for signal analysis and target detection. Particularly, to extract the principal components, such as sea clutter and target signal, in slow‐time ...
Baiqiang Zhang, Junhao Xie, Wei Zhou
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Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation
Journal of Function Spaces, 2021 Asymmetric truncated Hankel operators are the natural generalization of truncated Hankel operators. In this paper, we determine all rank one operators of this class.
Firdaws Rahmani, Yufeng Lu, Ran Li
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Finite Sample Identification of Low-Order LTI Systems via Nuclear Norm Regularization
IEEE Open Journal of Control Systems, 2022 This paper studies the problem of identifying low-order linear time-invariant systems via Hankel nuclear norm (HNN) regularization. This regularization encourages the Hankel matrix to be low-rank, which corresponds to the dynamical system being of low ...
Yue Sun, Samet Oymak, Maryam Fazel
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Linear systems and determinantal random point fields. [PDF]
, 2009 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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Super-optimal approximation by meromorphic functions. [PDF]
, 1996 Let G be a matrix function of type m × n and suppose that G is expressible as the sum of an H∞ function and a continuous function on the unit circle. Suppose also that the (k – 1)th singular value of the Hankel operator with symbol G is greater than the ...
Young, N. J., Peller, V. V.
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