Results 1 to 10 of about 26,486 (157)
Space-time POD and the Hankel matrix. [PDF]
PLoS One, 2023 Time-delay embedding is an increasingly popular starting point for data-driven reduced-order modeling efforts. In particular, the singular value decomposition (SVD) of a block Hankel matrix formed from successive delay embeddings of the state of a dynamical system lies at the heart of several popular reduced-order modeling methods.
Frame P, Towne A.
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Noise Suppression for GPR Data Based on SVD of Window-Length-Optimized Hankel Matrix [PDF]
Sensors, 2019 Ground-penetrating radar (GPR) is an effective tool for subsurface detection. Due to the influence of the environment and equipment, the echoes of GPR contain significant noise.
Wei Xue, Yan Luo, Yue Yang, Yujin Huang
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Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation [PDF]
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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Companion matrices and their relations to Toeplitz and Hankel matrices
Special Matrices, 2015 In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or a Hankel matrix is multiplied by a related companion matrix.We present a necessary and sufficient condition, generalizing ...
Luo Yousong, Hill Robin
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A study on the empirical distribution of the scaled Hankel matrix eigenvalues [PDF]
Journal of Advanced Research, 2015 The empirical distribution of the eigenvalues of the matrix XXT divided by its trace is evaluated, where X is a random Hankel matrix. The distribution of eigenvalues for symmetric and nonsymmetric distributions is assessed with various criteria.
Hossein Hassani +2 more
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Invertibility properties of matrix wiener‐hopf plus Hankel integral operators
Mathematical Modelling and Analysis, 2008 We consider matrix Wiener‐Hopf plus Hankel operators acting between Lebesgue spaces on the real line with Fourier symbols presenting some even properties (which in particular include unitary matrix‐valued functions), and also with Fourier symbols which ...
Giorgi Bogveradze, Luís P. Castro
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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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Robust estimation of synchronized spontaneous otoacoustic emission via singular value decomposition and optimal shrinkage [PDF]
JASA Express Letters, 2023 We investigate matrix signal processing techniques for estimating synchronized spontaneous otoacoustic emission (OAE) in noise. Responses to repeated clicks are first stored in a matrix, and singular value decomposition is either applied in the time ...
Hao-Ping Lin, Yi-Wen Liu
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On Low-Rank Hankel Matrix Denoising
IFAC-PapersOnLine, 2021 The low-complexity assumption in linear systems can often be expressed as rank deficiency in data matrices with generalized Hankel structure. This makes it possible to denoise the data by estimating the underlying structured low-rank matrix. However, standard low-rank approximation approaches are not guaranteed to perform well in estimating the noise ...
Yin, Mingzhou, Smith, Roy S.
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Generalized Data–Driven Predictive Control: Merging Subspace and Hankel Predictors
Mathematics, 2023 Data–driven predictive control (DPC) is becoming an attractive alternative to model predictive control as it requires less system knowledge for implementation and reliable data is increasingly available in smart engineering systems.
M. Lazar, P. C. N. Verheijen
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