Journal of Radio Electronics. eISSN 1684-1719. 2024. ¹12

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DOI: https://doi.org/10.30898/1684-1719.2024.12.7

 

 

 

ANALYSIS OF CONSTRUCTION OF THE MATHEMATICAL MODEL

OF TWO-DIMENSIONAL DISTRIBUTIONS

AND THE POTENTIAL EFFICIENCY OF SUPPRESSION

OF THE NON-GAUSSIAN PULSE NOISE

 

V.M. Artyushenko 1, V.I. Volovach 2,3

 

1 Technological University named after twice Hero of the Soviet Union Cosmonaut A.A. Leonov,

141070, Russia, Korolev Moscow region, Gagarin str., 42

 

2 Volga Region State University of Service,

445017, Russia, Togliatti, Gagarin str., 4

 

3 Voronezh State University,

394018, Russia, Voronezh, University sq., 1

 

The paper was received August 20, 2024.

 

Abstract. Methods for constructing models of two-dimensional probability distributions are considered. The need to take into account independent Gaussian noise when using multidimensional models of non-Gaussian impulse noise that have significant empirical prerequisites has been determined. Potential effectiveness of suppressing such noise found. The method used to obtain multi-dimensional models of non-Gaussian noise is to represent the noise as a result of filtering the Poisson pulse stream. No model singularity conditions defined. It has been shown that to build multidimensional models of non-singular non-Gaussian impulse noise, it is necessary to introduce Gaussian noise independent at the considered dimension. Another option is to use a filtered impulse process with a correlation function with an initial quadratic section. The potential processing gain was estimated taking into account the relationship between atmospheric noises readings relative to the method of their amplitude suppression, which does not exceed 4...8 dB.

Key words: two-dimensional distribution model, non-Gaussian impulse noise, amplitude suppression efficiency, Gaussian noise, singularity, atmospheric noise.

Financing: The study was supported by a grant from the Russian Science Foundation ¹ 23-21-00452, https://rscf.ru/pro-ject/23-21-00452/.

Corresponding author: Volovach Vladimir Ivanovich, volovach.vi@mail.ru

 

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For citation:

Artyushenko V.M., Volovach V.I. Analysis of construction of the mathematical model of two-dimensional distributions and the potential efficiency of suppression of the non-Gaussian pulse noise // Journal of Radio Electronics. – 2024. – ¹. 12. https://doi.org/10.30898/1684-1719.2024.12.7 (In Russian).