Use of elliptically symmetric model of probability density function to describe non-Gaussian noise
- 1 Dr. Sc. (Eng.), Professor, Head of Department of Information Technology and Management Systems, Technological University (Korolyov, Moscow region)
- 2 Ph. D. (Eng.), Associate Professor, Head of Department of Information and Electronic Service, Volga Region State University of Service (Togliatti)
Abstract
The article studies the use of elliptically symmetric (ES) model of two-dimensional probability density function (PDF) to describe narrow-band correlated non-Gaussian noise.
It is determined that the method of multidimensional PDFs allows us to give the most complete descriptions of random processes with non-Gaussian PDF. The article considers the use of one variation of the above mentioned method - it is the method of mixing. It is shown that to obtain the multidimensional PDFs with the required accuracy, Markov random processes can be used.
ES of two-dimensional PDFs can be used to describe arbitrary non-Gaussian noise which is quasi-harmonic processes and has a spec-trum close to the band of the useful signal. It is shown that the ES model of correlated non-Gaussian process determines the noise with a band-pass spectrum. It is found that the result of the addition of arbitrary ES processes with the same correlation coefficients is also an ES process.
As a result we found that the description of correlated narrowband non-Gaussian noise by ES of two-dimensional PDF allows us to carry out the synthesis of systems and devices, based on a priori knowledge of one-dimensional PDF and correlation function. Using a one-dimensional PDF of instantaneous values, we can determine the PDF of the envelope, which allows us to use ES of PDF to describe multiplicative (modulating) noise.
How to cite
Артюшенко В.М., Воловач В.И. Использование эллиптически симметричной модели плотности распределения вероятности для описания негауссовских помех // Радиотехника. 2016. № 6. С. 113–117.
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