Results 11 to 20 of about 21,592 (299)

ON THE SUMMABILITY OF THE DISCRETE HILBERT TRANSFORM [PDF]

open access: yesUral mathematical journal, 2018
Summary: 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 transform of a sequence from the class \(l_1\).
Aliev, R. A., Amrahova, A. F.
openaire   +5 more sources

Extension of the hilbert transform [PDF]

open access: yes2012 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 trans-form. In this paper we analyze the Hilbert transform for bounded bandlimited signals in B∞π.
Holger Boche, Ullrich J. Mönich
core   +2 more sources

Quadratic-Phase Hilbert Transform and the Associated Bedrosian Theorem

open access: yesAxioms, 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.
Huzaifa L. Qadri   +4 more
core   +4 more sources

Complex Hilbert Transform Filter

open access: yesJournal 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 ...
Hannu Olkkonen   +3 more
core   +3 more sources

Hilbert transform [PDF]

open access: yes, 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 ...
Cervi, Jacopo
core   +5 more sources

The Hilbert transform [PDF]

open access: yesSurveys in Mathematics and its Applications, 2021
Summary: The Hilbert transform is essentially the only singular operator in one dimension. This undoubtedly makes it one of the most important linear operators in harmonic analysis. This is an expository paper about the Hilbert transform aimed to anyone that has even scratched the surface of the theory of integration, and functional analysis as well as
Edisson Arley Arcos   +1 more
openaire   +2 more sources

An extended Hilbert transform method for reconstructing the phase from an oscillatory signal. [PDF]

open access: yesSci Rep, 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.
Matsuki A, Kori H, Kobayashi R.
europepmc   +2 more sources

A Bayesian view on the Hilbert transform and the Kramers-Kronig transform of electrochemical impedance data: Probabilistic estimates and quality scores

open access: yesElectrochimica Acta, 2020
Electrochemical impedance spectroscopy (EIS) is one of the most widely used experimental tools in electrochemistry and has applications ranging from energy storage and power generation to medicine. Considering the broad applicability of the EIS technique,
Jiapeng Liu   +2 more
exaly   +2 more sources

A Frequency Estimation Scheme Based on Gaussian Average Filtering Decomposition and Hilbert Transform: With Estimation of Respiratory Rate as an Example. [PDF]

open access: yesSensors (Basel), 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.
Lin YD, Tan YK, Ku T, Tian B.
europepmc   +2 more sources

One result on boundedness of the Hilbert transform in Marcinkiewics spaces

open access: yesВестник 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
doaj   +1 more source

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