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Description of nonstationary non-Gaussian processes using finite atomic functions

V F Kravchenko1,2,3, O V Kravchenko1,2,3, V I Lutsenko4,  I V Lutsenko4, I V Popov4, LUO Yi-yang5

 

(1. Kotel’nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Moscow 125009, Russia; 2. Bauman Moscow State Technical University, Moscow 105005, Russia; 3. Scientific and Technological Center of Unique Instrumentation of Russian Academy of Sciences, Moscow 119992, Russia; 4. Usikov Institute of Radiophysics and Electronics of National Academy of Sciences of Ukraine, Kharkiv 61085, Ukraine; 5. National Aerospace University-Kharkiv Aviation Institute, Kharkiv 61070, Ukraine)

 

Abstract: The possibility of using finite atomic functions of Kravchenko-Rvachev for description of the laws of distribution of the refractive index of the troposphere, the intensity of the scattering from the sea, seasonal behavior unit radar cross section (RCS) of land areas with vegetation covering, as well as the spectrum of electromagnetic spikes of lithospheric origin is considered.

 

Key words: finite atomic functions of Kravchenko-Rvachev; Gaussian curves; unit radar crocss section (RCS); refractive index; radiation of lithospheric origin; scattering from the sea; diffusion equation

 

CLD number: TN911.7Document code: A

 

Article ID: 1674-8042(2017)01-0037-09   doi: 10.3969/j.issn.1674-8042-2017-01-007

 

References

 

[1]Kravchenko V F, Lutsenko I V, Lutsenko V I. The scattering of radio waves by sea and detection of objects on its background. Fizmatlit, 2015.
[2]Kravchenko V F, Lutsenko V I, Masalov S A, et al. Analysis of nonstationary signals and fields with the use of enclosed semi-Markov processes. Doklady Physics, 2013, 58(11): 465-468.
[3]    Kravchenko V F, Lutsenko V I, Lutsenko I V, et al. Description and analysis of non-stationary signals by nested semi-Markov processes. Journal of Measurement Science and Instrumentation, 2014, 5(3): 25-32.
[4]Lutsenko V I, Lutsenko I V, Masalov S A, et al. Using nested semi-Markov processes to describe non-stationary signals and fields. Radio Physics and Electronics, 2012, 3(17): 57-64.
[5]Kravchenko V F, Kravchenko O V, Safin A R. Atomic functions in probability theory and stochastic processes. Successes of Modern Electronics, 2009, (5): 23-37.
[6]Kravchenko V F, Lutsenko V I, Lutsenko I V, et al. Statistical model of the refractive index of the troposphere. Universal Journal of Physics and Application, 2014, 2(4): 206-212.
[7]Kravchenko V F, Lutsenko V I, Lutsenko I V, et al. The simulation model of the backscattered signal from the land. Physical Bases of Instrumentation, 2015, 4(4): 3-29.
[8]Stasova V V, Tchebakova N M, Parfenov E I, et al. The structure and functioning of terrestrial ecosystems and their biodiversity. ∥Seasonal dynamics of chlorophyll content in vegetation of the steppes of southern Siberia. In: Proceedings of Russian Conference on Natural and anthropogenic dynamics of terrestrial ecosystems, Irkutsk, 2005: 72-74.
[9]Kravchenko V F, Kravchenko O V, Uvarov V N, et al. Transient characteristics of acoustic and electromagnetic emission of the lithosphere. Physical Bases Instrumentation, 2016, 5(2): 88-101.
[10]Tikhonov A N, Samarsky A A. The equations of mathematical physics. 4th edition.  Moscow: Science: Home Edition of Physical and Mathematical Literature, 1972.
[11]Kravchenko V F, Krivenko E V, Levchenko S A, et al. The use of smart grid technologies for sustainable development and modernization of water supply systems. In: Proceedings of the National Academy of Sciences of Belarus, Series of Physical-Technical Sciences, 2015, (4): 67-79.
[12]Kravchenko V F, Krivenko E V, Levchenko S A, et al.  Smart grid technology-the basis of the water supply system modernization. In: Proceedings of the National Academy of Sciences of Belarus, Series of Physical-Technical Sciences, 2015, 59(3): 102-108.

 

基于有限原子函数的不稳定非高斯过程的描述

 

V F Kravchenko1,2,3, O V Kravchenko1,2,3, V I Lutsenko4,  I V Lutsenko4, I V Popov4, LUO Yi-yang5

 

(1. 俄罗斯科学院 无线电工程与电子学研究所, 莫斯科 125009; 2. 莫斯科国立鲍曼技术大学, 莫斯科 105005;3. 俄罗斯科学院 科学仪器工程技术研究所, 莫斯科 119992; 4. 乌克兰科学院 无线电物理学与电子研究所, 哈尔科夫 61085; 5. 乌克兰航空航天大学 哈尔科夫航空学院, 哈尔科夫 61070)

 

摘要:利用克拉夫钦科-拉夫车夫有限原子函数描述了对流层折射率的分布原理、 海洋散射强度、 植被覆盖陆地的季节性雷达散射截面以及岩石圈源端电磁尖峰信号的光谱。

 

关键词:克拉夫钦-拉夫车夫科有限原子函数; 高斯曲线; 单位雷达散射截面; 折射率; 岩石圈源端辐射; 海洋散射; 扩散方程

 

引用格式: Kravchenko V F, Kravchenko O V, Lutsenko V I, et al. Description of nonstationary non-Gaussian processes using finite atomic functions. Journal of Measurement Science and Instrumentation, 2017, 8(1):  37-45. [doi: 10.3969/j.issn.1674-8042.2017-01-007]

 

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