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Spectral-time analysis with the use of cross Wigner–Ville transform

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Radiophysics and Quantum Electronics Aims and scope

We consider the possibility of obtaining frequency–time distributions of signals by means of the cross Wigner–Ville transform in which the reference (test) signal is designed in accordance with the structure of the studied signal. It is shown that because of the complex nature of the Wigner–Ville distributions (WVDs) P(t, ω), information on the frequency–time characteristics of studied signals can be obtained by analyzing the modulus of the distribution |P(t, ω)|, as well as by the real Re[P(t, ω)] and imaginary Im[P(t, ω)] parts of the WVD. Their analysis by the method of selected sections permits one to disclose in more detail the spectral–time content of processed signals and thereby increase the frequency–time resolution. The efficiency of the proposed technique was verified by numerical modeling and in work with acoustic signals received by a mobile receiver from a fixed transmitter.

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Authors and Affiliations

  1. N. I. Lobachevsky State University, Nizhny Novgorod, Russia

    E. I. Shkelev & N. E. Zemnyukov

Authors
  1. E. I. Shkelev
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  2. N. E. Zemnyukov
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Correspondence to E. I. Shkelev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 53, No. 2, pp. 134–144, February 2010.

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Shkelev, E.I., Zemnyukov, N.E. Spectral-time analysis with the use of cross Wigner–Ville transform. Radiophys Quantum El 53, 122–131 (2010). https://doi.org/10.1007/s11141-010-9208-x

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  • DOI: https://doi.org/10.1007/s11141-010-9208-x

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