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Nonlinear Transformer with Variance Stabilization for Non-Gaussian Noise Suppression

Abstract

The problem of approximation of nonlinear characteristic of weak signal detection in the form of polynomial function connected with integral distribution law is considered. The variance of this approximation does not depend on the kind and the parameters of the input non-Gaussian distribution. The article provides benchmarking of applying of polynomial function in case of sinusoidal noise when the noise is the sum of harmonic vibrancy and Gaussian noise. The noises with different spectral characteristics are analyzed. With radiofrequency noise spectrum the efficiency of the applied transformer may grow to considerably high values at the current stabilizing characteristics.

About the Authors

V. A. Danilov
North Caucasian Branch of Moscow Technical University of Communications and Informatics (Rostov-on-Don)
Russian Federation
D.Sc. in Engineering (1994), Professor (1998) of the Department of Information Transmission and Processing Systems


L. V. Danilova
Rostov State University of Transport Communications
Russian Federation
Ph.D. in Physics and Mathematics (1983), Associate Professor (1986) of the Department of Higher Mathematics


References

1. Tikhonov V. I. Statisticheskaya radiotekhnika [Statistical Radio Engineering]. Moscow, Radio isvyaz', 1982, 624 p. (In Russian)

2. Akimov P. S., Bakut P. A., Bogdanovich V. A. i dr. Teoriya obnaruzheniya signalov; pod red. P. A. Bakuta [Theory of Signal Detection.; ed. P. Bakuta]. Moscow, Radio isvyaz', 1984, 440 p. (In Russian)

3. Levin B. R. Teoreticheskie osnovy statisticheskoi radiotekhniki. Kniga tret'ya. [Theoretical Basics for Statistical Radio Engineering]. Moscow, Sov. radio, 1976, 288 p. (In Russian)

4. Danilov V. A., Efimenko V. N., Zhabinsky Yu. V. Suppression of Non-Gaussian Noise by Nonlinear Transducer with Oscillating-Type Characteristics. Radiotekhnika. 2007, no. 12, pp. 11-15. (In Russian)

5. Gradshtein I. S., Ryzhik I. M. Tablitsy integralov, summ, ryadov i proizvedenii. [Tables of Integrals, Sums, Series and Products]. Moscow, Nauka, 1971, 1108 p. (In Russian)


Review

For citations:


Danilov V.A., Danilova L.V. Nonlinear Transformer with Variance Stabilization for Non-Gaussian Noise Suppression. Journal of the Russian Universities. Radioelectronics. 2017;(4):5-11. (In Russ.)

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ISSN 1993-8985 (Print)
ISSN 2658-4794 (Online)