M. L. Artemov – Dr.Sc. (Eng.), Associate Professor, Temporary General Director,
JSC “Concern “Sozvezdie” (Voronezh)
E-mail: m.l.artemov@sozvezdie.su
I. S. Dmitriev – Ph.D. (Eng.), Leading Research Scientist,
JSC “Concern “Sozvezdie” (Voronezh)
E-mail: dmiv@mail.ru
M. Yu. Ilyin – Ph.D. (Eng.), Senior Research Scientist,
JSC “Concern “Sozvezdie” (Voronezh)
E-mail: miuril@rambler.ru
M. P. Slichenko – Dr.Sc. (Eng.), Head of Sector,
JSC “Concern “Sozvezdie” (Voronezh)
E-mail: m.p.slichenko@sozvezdie.su
The probability of abnormal direction finding errors is one of the most important parameters of a radio direction finder, and the task of determining the quantitative relationships of this parameter with the structure of the radio direction finder, shape of directionfindable radio wave, and with statistical characteristics of noise is very relevant. Moreover, both the direct problem of estimating the probability of an abnormal error from a set of initial data is of interest, and the inverse problem of estimating the field strength of a direction-findable radio wave required to obtain the probability of an abnormal direction finding error no higher than a given threshold.
An abnormal bearing error occurs when the local maximum of the direction-finding relief which is closest to the true bearing is less than some other local maximum of this function, i.e. the difference between these maxima acquires a negative sign. The article offers the statistic that roughly matches by probability distribution with this difference. Approximation of the distribution of this statistic by the normal law allowed us to obtain analytical relations linking the probability of an abnormal direction finding errors with parameters of the radio direction finder, the direction-findable radio wave, and statistical characteristics of noise. For a detector-direction finder with an arbitrary structure of the antenna system which functions in conditions of difficult electromagnetic environment, an approximate analytical expression for the threshold generalized signal-to-noise ratio in the radio direction finder channels has been obtained, which provides a given probability of anomalous errors. Tests of the method on the simulation statistical model showed its high accuracy and confirmed the feasibility of the adopted simplifications.
The proposed method will allow determining the structure of the antenna system of direction finders, which ensures that the specified requirements are met in terms of the effectiveness of direction finding in conditions of difficult electromagnetic environment.
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- Artemov M.L., Afanasiev O.V., Dmitriev I.S., Popov V.V., Slichenko M.P. Potential accuracy of estimation of arrival directions and field strength amplitudes of several plane monochromatic radio waves by a multi-channel direction finder with an antenna system of any configuration. Radioengineering. 2013. № 3. P. 69–75. (in Russian)
- Artemov M.L., Slichenko M.P. Modern approach to the development of methods of direction finding of radio waves of radio sources. Antennas. 2018. № 5. P. 31–37. (in Russian)
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- Ufaev V.A. Method for calculating the probability of anomalous direction finding errors using ring antenna arrays. Antennas. 2017. № 6. P. 17–22. (in Russian)
- Dmitriev I.S., Ilyin M.Yu. Calculation of the maximum probability of anomalous errors of azimuthal radio direction finder with a ring antenna array. Antennas. 2019. № 3. P. 16–25. (in Russian)
- Dmitriev I.S. Characteristics of side reception (radiation) of phased ring antenna arrays. Antennas. 2015. № 5. P. 28–34. (in Russian)
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- Artemova E.S., Slichenko M.P. Choosing a method for accumulating spectral components of radio signals to improve the accuracy and reliability of direction finding of radio sources. Antennas. 2018. № 5. P. 47–54. (in Russian)
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- Dmitriev I.S., Slichenko M.P. Features of interpolation of 2π-periodic functions with a finite Fourier spectrum based on the counting theorem. Journal of radioelectronics. 2014. № 1. [Electronic resource]. URL: http://jre.cplire.ru/iso/jan14/3/text.pdf. (in Russian)
- Dmitriev I.S., Slichenko M.P. Representation of periodic functions with a finite Fourier spectrum modified by the Kotelnikov series. Radio engineering and electronics. 2015. V. 60. № 5. P. 529–534. (in Russian)
- Slichenko M.P. Representation of multidimensional periodic functions as a finite weighted sum of reference values. Radio engineering and electronics. 2014. V. 59. № 10. P. 1042–1048. (in Russian)
- Abramova E.L., Artemov M.L. Statistical characteristics of multichannel detection and direction finding of radio waves in conditions of degradation of the number of radio reception channels. Antennas. 2018. № 6. P. 16–24. (in Russian)