Results 31 to 40 of about 26,670 (208)
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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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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Simultaneous reconstruction and denoising for DAS-VSP seismic data by RRU-net
Frontiers in Earth Science, 2023 Distributed acoustic sensing in vertical seismic profile (DAS-VSP) acquisition plays an important role in reservoir monitoring. But the field data can be noisy and associated with missing traces which affects the seismic imaging and geological ...
Huanhuan Tang +3 more
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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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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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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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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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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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