A Heavy Metal Ion Water Quality Detection Model Based on Spectral Analysis: New Methods for Enhancing Detection Speed and Visible Spectral Denoising. [PDF]
Sun B, Yang S, Cheng X.
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Multi-dimensional water quality indicators forecasting from IoT sensors: A tensor decomposition and multi-head self-attention mechanism. [PDF]
Bo L, Junrui L, Xuegang L.
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A new species of Languidipes Hubbard (Ephemeroptera, Polymitarcyidae) from Borneo. [PDF]
Hankel GE, Molineri C.
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Adaptive Sequential Singular Spectrum Analysis: Effective Signal Extraction with Application to Heart Rate Signals Related to E-cigarette Use. [PDF]
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Approximate realization based upon an alternative to the Hankel matrix: the Page matrix
The Ho-Kalman algorithm creates a minimum realization of a system, when given a series of deterministic Markov parameters. However, when such a 'truncated' series of Markov parameters has been disturbed with noise, an approximating Hankel matrix has to be constructed for applying the realization algorithm.
A A H Damen, Paul M J Van Den Hof
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Hankel matrix transformation of the Walsh–Fourier series
Applied Mathematics and Computation, 2013The Hankel matrix has various applications. In this paper we prove that Hankel matrix is strongly regular and apply to obtain the necessary and sufficient conditions to sum the Walsh-Fourier series of a function of bounded variation.
Mohammed I Alghamdi, M Mursaleen
exaly +2 more sources
Testing the rank of the Hankel covariance matrix: a statistical approach
IEEE Transactions on Automatic Control, 2001Summary: The rank of a Hankel matrix, corresponding to a system transfer function, is equal to the order of its minimal state space realization. The computation of the rank of a Hankel matrix is complicated by the fact that its block elements are rarely given exactly but are estimated instead. In this note, we propose new statistical tests to determine
Gonzalo Camba-Mendez, George Kapetanios
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