Results 1 to 10 of about 26,813 (231)
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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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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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 ...
Mingzhou Yin, Roy S. Smith
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Exponential Signal Reconstruction with Deep Hankel Matrix Factorization [PDF]
IEEE Transactions on Neural Networks and Learning Systems, 2020 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 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 [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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Iterative Eigenvalue Decomposition of Hankel Matrix: An EMD Like Tool [PDF]
Journal of the Franklin Institute, 2022 <p>The decomposition of a multicomponent non-stationary signal is helpful in obtaining its time-frequency distribution (TFD). In this paper, a novel empirical mode decomposition (EMD) like eigenvalue decomposition of Hankel matrix (EVDHM) technique is proposed, which extracts the mono-component signal iteratively.
Vivek Kumar Singh, Ram Bilas Pachori
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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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Vandermonde Factorization of Hankel Matrix for Complex Exponential Signal Recovery -- Application in Fast NMR Spectroscopy [PDF]
, 2018 Many signals are modeled as a superposition of exponential functions in spectroscopy of chemistry, biology and medical imaging. This paper studies the problem of recovering exponential signals from a random subset of samples.
Cai, Jian-Feng +5 more
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Hankel matrix transforms and operators [PDF]
Journal of Inequalities and Applications, 2012 The article under review concerns Hankel matrices and Hankel operators. Reviewer's remark: The paper contains errors. In particular, the paper contains the following result: Theorem 3.1. A Hankel matrix is regular if and only if (i) \(\lim_{n\to\infty}h_{n+k}=0\). (ii) \(\lim_{n\to\infty}\sum_{k=1}^\infty h_{n+k}=1\). (iii) \(\sup_n\sum_{k=1}^\infty|h_{
Suliman Al‐Homidan
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