Results 1 to 10 of about 21,702 (292)
An extended Hilbert transform method for reconstructing the phase from an oscillatory signal [PDF]
Scientific Reports, 2023 Rhythmic activity is ubiquitous in biological systems from the cellular to organism level. Reconstructing the instantaneous phase is the first step in analyzing the essential mechanism leading to a synchronization state from the observed signals.
Akari Matsuki +2 more
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A Frequency Estimation Scheme Based on Gaussian Average Filtering Decomposition and Hilbert Transform: With Estimation of Respiratory Rate as an Example [PDF]
Sensors, 2023 Frequency estimation plays a critical role in vital sign monitoring. Methods based on Fourier transform and eigen-analysis are commonly adopted techniques for frequency estimation.
Yue-Der Lin +3 more
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Extension of the Hilbert transform [PDF]
2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2012 The Hilbert transform is an important operator in signal processing, e.g., the definition of the “analytical signal” uses the Hilbert transform. In this paper we analyze the Hilbert transform for bounded bandlimited signals in B∞π. Although the common integral representation of the Hilbert transform may diverge for certain signals in B∞π, it is ...
Holger Boche, Ullrich J. Mönich
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ON THE SUMMABILITY OF THE DISCRETE HILBERT TRANSFORM [PDF]
Ural Mathematical Journal, 2018 In this paper, we study the asymptotic behavior of the distribution function of the discrete Hilbert transform of sequences from the class \(l_{1} \) and find a necessary condition and a sufficient condition for the summability of the discrete Hilbert ...
Rashid A. Aliev, Aynur F. Amrahova
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Quadratic-Phase Hilbert Transform and the Associated Bedrosian Theorem [PDF]
Axioms, 2023 The Hilbert transform is a commonly used linear operator that separates the real and imaginary parts of an analytic signal and is employed in various fields, such as filter design, signal processing, and communication theory.
Hari M. Srivastava +4 more
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A New Fast Approximate Hilbert Transform with Different Applications [PDF]
International Islamic University Malaysia Engineering Journal, 2012 A new and fast approximate Hilbert transform based on subband decomposition is presented. This new algorithm is called the subband (SB)-Hilbert transform.
Abdulnasir Hossen
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Surveys in Mathematics and its Applications, 2021 The Hilbert transform is essentially the only singular operator in one dimension. This undoubtedly make it one of the most important linear operator in harmonic analysis.
Edisson Arley Arcos +1 more
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Complex Hilbert Transform Filter [PDF]
Journal of Signal and Information Processing, 2011 Hilbert transform is a basic tool in constructing analytical signals for a various applications such as amplitude modulation, envelope and instantaneous frequency analysis, quadrature decoding, shift-invariant multi-rate signal processing and Hilbert-Huang decomposition.
Olkkonen, Hannu, Olkkonen, Juuso T.
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Fuzzy Hilbert Transform of Fuzzy Functions [PDF]
MathematicsThis paper studies the properties of the Fourier transform of the fuzzy function, and extends the classical Poisson integral formula on the half plane to the fuzzy case, obtaining the composition of the fuzzy set generated by a point in the complex field
Zhibo Yan
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, 2014 The Hilbert transform is an important tool in both pure and applied mathematics. It is largely used in the field of signal processing. Lately has been used in mathematical finance as the fast Hilbert transform method is an efficient and accurate ...
Edward Layer, Krzysztof Tomczyk
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