Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1689-1719. 2020. No. 1

Full text in Russian (pdf)

Russian page


DOI 10.30898/1684-1719.2020.1.8

UDC 621.396.969

The model for estimating characteristics of multi-frequency radio field when working on various types of targets


V. A. Tretyakov 1,2, G. V. Kulikov 2, U. Ph. Lukyanets 1, I. A. Galustov 1, A. V. Parphyonov 1

1 JSC «Vimpel», Geroyev Panfilovtsev str., 10-1, Moscow 125480, Russia

2 MIREA – Russian Technological University, Vernadsogo prosp. 78, Moscow 119454, Russia


The paper is received on December 19, 2019, after correction on January 20, 2020


Abstract. The article purpose is to create of a model for estimation of the characteristics of multi-frequency radar field in the detection and maintenance of aerodynamic, ballistic and space targets. The main characteristics of the radar field while working on various types of aircraft objects, the basic source data for the coordinates of the location and characteristics of radars of various types in the radar field and source data about flight tracks of reference objects are presented in this article. A block diagram of the algorithm (model) of characteristics estimation is developed. The model included three stages. At the stage of primary information processing the basic analytical relations are used to calculate the signal power and noise at the output of the intermediate-frequency amplifier of the radar when exposed to intrinsic noise, active noise interference, and passive natural and artificial interference. For the known probabilities of correct detection and false alarm, the threshold of target detection is defined. If the calculated signal-to-noise ratio is more than the threshold value, then the fact of detection of a radar mark from the target is determined. Then either direct measurement of the active noise target range is carried out, or the range is calculated as a result of solving the triangulation problem based on previously received bearings from the radar, or the range is determined by the correlation-base complex. At the stage of secondary processing of information the target marks getting on different time moments are joined into trajectories and thus participate in the formation of tracks in the channels of range, azimuth, angle of place and radial velocity. For obtaining estimates of unknown parameters of polynomial  models  of mathematical expectations of range, azimuth, angle of place and radial velocity, the maximum likelihood method is used on four samplings of their values at different times. Calculation of smoothing and extrapolated estimations of root-mean-square errors of determining the components of range, azimuth, angle of place and radial velocity at each survey is based on proposed statistical method. The main idea of this method is based on getting of representative samplings of random values of estimations of root-mean-square errors of spherical target (active noise interferences target) coordinates with a program of normally distributed random numbers which is forming of random spherical target (active noise interferences target) coordinates at each survey. Further, according to acquired at present survey, values of estimations of root-mean-square errors with the help of maximum likelihood method are smoothing (at previous surveys) and extrapolating (at following surveys). These estimations are needed for parameter calculation of spherical target (active noise interferences target) coordinates and maintenance gates dimensions of target (active noise interferences target) trajectories. Tertiary information processing at command post of big territorial spread system or its reference radar consists in checking-up of superimposing and connection to reference track the track coming from each source. Superimposing and connection are made at all coordinates and qualification signs for all time points being in a definite interval. This comparison of tracks is carried out in a space errors ellipsoid of space rectangular coordinate system of command post or its reference radar. The dimensions of the errors ellipsoid of space rectangular coordinate system are defined with interval values of the estimations of root-mean-square errors of these coordinates. If the coordinates of the target do not exceed the boundaries of the space ellipsoid of superimposing of the command post or its reference radar and the qualification signs of the reference track and estimated track are equal, then the estimated track is tied to this reference track. Superimposing is absent in alternative case. Calculation of information characteristics of the multi-frequency radar field is made during thetime information processing and memorizing of tracks  at all stages of model work.

Keywords: multi-frequency radar field, target, algorithm, model, block diagram, detection, tracking, route, coordinates, root-mean-square error, signal-to-noise ratio.


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For citation:

Tretyakov V.A., Kulikov G.V., Lukyanets U.Ph., Galustov I.A., Parphyonov A.V. Model for  estimating characteristics of a multi-frequency radio field when working on various types of targets. Zhurnal Radioelektroniki – Journal of Radio Electronics. 2020. No. 1. Available at http://jre.cplire.ru/jre/jan20/8/text.pdf
DOI  10.30898/1684-1719.2020.1.8