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Kirkwood and Wigner Quantum Densities, Their Properties, and Applications in Radiophysics

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Radiophysics and Quantum Electronics Aims and scope

The Wigner and Kirkwood functions are widely used for signal processing. We review their properties and representations. The Wigner function calculation requires significant computational resources. In this work, we present a fast algorithm for finding the smoothed Wigner function, which is based on the averaging of the Kirkwood function calculated for the fractional Fourier transforms of a signal for different phase-plane rotation angles.

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Authors and Affiliations

  1. A.M.Obukhov Institute of Atmospheric Physics of the Russian Academy of Sciences, Moscow, Russia

    M. E. Gorbunov & O. A. Koval

  2. Hydrometeorological Research Center of the Russian Federation, Moscow, Russia

    M. E. Gorbunov

Authors
  1. M. E. Gorbunov
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  2. O. A. Koval
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Corresponding author

Correspondence to M. E. Gorbunov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, No. 2, pp. 153–162, February 2021. Russian DOI: 10.52452/00213462_2021_64_02_153

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Gorbunov, M.E., Koval, O.A. Kirkwood and Wigner Quantum Densities, Their Properties, and Applications in Radiophysics. Radiophys Quantum El 64, 140–148 (2021). https://doi.org/10.1007/s11141-021-10118-3

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  • DOI: https://doi.org/10.1007/s11141-021-10118-3

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