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 New Fast Approximate Hilbert Transform with Different Applications
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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An example of a Hilbert transform [PDF]
Proceedings of the American Mathematical Society, 1991 We construct a nonnegative integrable function on the real line R \mathbf {R} whose Hilbert transform cannot be almost everywhere dominated by the HardyLittlewood maximal function of any finite measure on R \mathbf {R} .
K. Samotij
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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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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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Two-dimensional Hilbert transforms [PDF]
Proceedings of the American Mathematical Society, 1957 R. J. Duffin
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One result on boundedness of the Hilbert transform in Marcinkiewics spaces
Вестник КазНУ. Серия математика, механика, информатика, 2022 In mathematics and in signal theory, the Hilbert transform is an important linear operator that takes a real-valued function and produces another real-valued function.
Nurken Tursynbayuly Bekbayev +1 more
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Quadratic-Phase Hilbert Transform and the Associated Bedrosian Theorem
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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Approximation of the Hilbert transform in the Lebesgue spaces
Journal of Numerical Analysis and Approximation Theory, 2023 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]
Mathematica Moravica, 2021 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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