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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
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.
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
Linking options:
https://www.mathnet.ru/eng/danma167 https://www.mathnet.ru/eng/danma/v497/p35
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Abstract page: | 70 | Full-text PDF : | 9 | References: | 7 |
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