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Approximation of the Hilbert transform in the Lebesgue spaces
The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the ...
Rashid Aliev, Lale Alizade
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Inequalities for a generalized finite Hilbert transform of convex functions [PDF]
In this paper we obtain some new inequalities for a generalized finite Hilbert transform of convex functions. Applications for particular instances of finite Hilbert transforms are given as well.
Dragomir Silvestru Sever
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On the Hilbert Transform of Wavelets [PDF]
Appears in IEEE Transactions on Signal Processing, vol. 59, no. 4, pp.
Kunal Narayan Chaudhury, Michael Unser
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Added two remarks (4.12, 4.13).
Mei, Tao, Ricard, Éric
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Building on past work showing that the Hilbert transform can be used for edge feature enhancement, a new edge feature enhancement method is developed using a two‐dimensional (2D) isotropic Hilbert transform of the Cauchy distribution.
Ke Wang, Gustavo K. Rohde, Jian Xiao
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A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]
Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Holder property introduced in [2], then ...
Pott, S.
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Restricted Hilbert transform for feasible light management
A feasible restricted Hilbert Transform (HT) is presented to solve the challenging practical realization of non-Hermitian systems, restricting the complex susceptibility within practical limits.
Botey, Muriel +4 more
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LOW-COST DEVICE FOR FAULT DIAGNOSIS IN BEARINGS BASED ON THE HILBERT-HUANG TRANSFORM [PDF]
In order to monitor the condition of machinery complex industrial environments, high-cost equipment is required for signal acquisition and processing.
PABLO CIFUENTES FIALLOS +5 more
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In this work, we present a novel Hilbert-twin method to compute an envelope and the logarithmic decrement, δ, from exponentially damped time-invariant harmonic strain signals embedded in noise.
Magalas L.B., Majewski M.
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Time-Frequency Analysis of Noisy Vibration Signal Based on Improved Hilbert-Huang Transform
Aimed at the phenomenon of modal confusion and lack of practical significance of instantaneous frequency caused by Hilbert-Huang transform (HHT) noisy vibration signal time-frequency analysis, complete ensemble empirical mode decomposition with adaptive ...
SUN Miao, YANG Junkai, WU Li
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