Tomographic and Entropic Analysis of Modulated Signals

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 entro...

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Bibliographic Details
Published in:Optics and spectroscopy 2020-07, Vol.128 (7), p.902-908
Main Authors: Mastiukova, A. S., Gavreev, M. A., Kiktenko, E. O., Fedorov, A. K.
Format: Article
Language:English
Subjects:
Fourier analysis
Lasers
Mathematical analysis
Nonlinear Optics
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Time-frequency analysis
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Summary: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.
ISSN:0030-400X
1562-6911
DOI:10.1134/S0030400X20070127