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Optics and Spectroscopy, 2020, Volume 128, Issue 7, Pages 902–908 (Mi os3)  
Nonlinear optics

Tomographic and entropic analysis of modulated signals

A. S. Mastiukovaab, M. A. Gavreevab, E. O. Kiktenkoabc, A. K. Fedorovab

a Russian Quantum Center, Skolkovo, Moscow, 143025 Russia
b Moscow Institute of Physics and Technology, Dolgoprudny, Moscow oblast, 141700 Russia
c Department of Mathematical Methods for Quantum Technologies, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991 Russia
Abstract: We study an application of the quantum tomography framework for the time-frequency analysis of modulated signals. In particular, we calculate optical tomographic representations and Wigner–Ville distributions for signals with amplitude and frequency modulations. We also consider time-frequency entropic relations for modulated signals, which are naturally associated with the Fourier analysis. A numerical toolbox for calculating optical time-frequency tomograms based on pseudo Wigner–Ville distributions for modulated signals is provided.
Keywords: quantum tomography, signal processing, Wigner–Ville distribution.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MK-923.2019.2
The work was supported by the grant of the President of the Russian Federation (project MK- 923.2019.2).
Received: 27.01.2020
Revised: 30.01.2020
Accepted: 27.02.2020
English version:
Optics and Spectroscopy, 2020, Volume 128, Issue 7, Pages 902–908
DOI: https://doi.org/10.1134/S0030400X20070127
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. S. Mastiukova, M. A. Gavreev, E. O. Kiktenko, A. K. Fedorov, “Tomographic and entropic analysis of modulated signals”, Optics and Spectroscopy, 128:7 (2020), 902–908; Optics and Spectroscopy, 128:7 (2020), 902–908
Citation in format AMSBIB
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\issue 7
\pages 902--908
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