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
doaj +6 more sources
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
doaj +4 more sources
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.
europepmc +4 more sources
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 ...
Roy Smith
exaly +4 more sources
Hankel Matrix Rank as Indicator of Ghost in Bearing-only Tracking. [PDF]
IEEE Trans Aerosp Electron Syst, 2018 Usually, bearing angle measurements are employed in triangulation methods to display the position of targets. However, in multi-radar and multi-target scenarios, triangulation approaches bring out ghosts that operate like real targets. This article proposes a target/ghost classifier that relies on the fact that the trajectory of a ghost is actually a ...
Bekiroglu K +3 more
europepmc +3 more sources
A fast method to diagonalize a Hankel matrix
Linear Algebra and Its Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Franklin T Luk
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Clutter Elimination and Random-Noise Denoising of GPR Signals Using an SVD Method Based on the Hankel Matrix in the Local Frequency Domain [PDF]
Sensors, 2018 Shufan Hu, Yonghui Zhao
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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
doaj +1 more source
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
doaj +1 more source
Lower Bounds for Arithmetic Circuits via the Hankel Matrix [PDF]
computational complexity, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fijalkow, Nathanaël +3 more
openaire +7 more sources