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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 497, Pages 35–37
DOI: https://doi.org/10.31857/S2686954321020089 (Mi danma167) 		 
This article is cited in 1 scientific paper (total in 1 paper)

INFORMATICS

Features of the statistical distribution of a quasi-harmonic signal phase

T. V. Yakovleva

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954321020089
Abstract: The statistical distribution of the phase of a quasi-harmonic signal has been theoretically investigated. An analytical expression for the probability density function of this distribution has been obtained for the first time, and the distribution has been shown to be a two-parameter one and to be determined by the following parameters: the signal-to-noise ratio and the deviation of the current phase value from the phase value in the initial noiseless signal. The dependence of the probability density function for the signal phase upon its parameters has been analyzed. This research is meaningful for solving tasks of high-precision phase measurements by means of statistical data processing methods.
Keywords: quasi-harmonic signal, Gaussian noise, probability density function.
Presented: A. L. Semenov
Received: 14.10.2020
Revised: 14.10.2020
Accepted: 13.02.2021
English version:
Doklady Mathematics, 2021, Volume 103, Issue 2, Pages 95–97
DOI: https://doi.org/10.1134/S1064562421020083
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: T. V. Yakovleva, “Features of the statistical distribution of a quasi-harmonic signal phase”, Dokl. RAN. Math. Inf. Proc. Upr., 497 (2021), 35–37; Dokl. Math., 103:2 (2021), 95–97
Citation in format AMSBIB
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