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Estimation of filtering quality using nonlinear algorithm in security three-postion rangefinder radio system

Keywords:

Ya.O. Areshin – Leading Engineer, JSC «SPC «SRI of Long-distance Radio Communication» (Moscow)
E-mail: yareshin@gmail.com
B.A. Zaikin – Post-graduate Student, Department of Theoretical Radio Engineering and Radiophysics,
Institute of Radio Engineering and Telecommunication Systems RTU MIREA (Moscow)
E-mail: halfmazerkin@gmail.com
A.F. Kotov – Dr.Sc.(Eng.), Professor, Department of Theoretical Radio Engineering and Radiophysics,
Institute of Radio Engineering and Telecommunication Systems RTU MIREA (Moscow)
E-mail: kotov@mirea.ru


A synthesis of an algorithm of nonlinear filtering for its using in a security three-position rangefinder radio system and a comparison of quality indicators of a security three-position rangefinder radio system and a security single-position angular-rangefinder radio system are introduced in the article. An algorithm of nonlinear filtering in general (1)−(6), formulas of Markov sequence, that describes motion of an object of observation (7)−(10), a geometric construction of a security three-position security system (fig. 1), its mathematical description (11)−(13) and a synthesis of given algorithm for given system (14)−(21) are presented in Part 1. Part 2 describes the definition of estimation criteria for the quality of filtering process, parameters for modeling the given systems and the results of the modeling. The suggested criteria for the quality of filtering process is standard deviation (23) of the interval between the true and filtering values (22). In paragraph 2.2 initial values for modeling are presented. Results of modeling are presented at fig. 2−fig. 7. fig. 2, fig. 3 shows standard deviation of the interval between the true and filtering values for estimating and filtering depending on signal/noise ratio for a security single-position angular-rangefinder and a security three-position rangefinder radio systems, respectively. fig. 4, fig. 5 shows standard deviation of the interval between the true and filtering values for estimating and filtering depending on width of the echo spectrum for a security single-position angular-rangefinder and a security three-position rangefinder radio systems, respectively. fig. 6, fig. 7 shows standard deviation of the interval between the true and filtering values for estimating and filtering depending on distance to the object of observation for a security single-position angular-rangefinder and a security three-position rangefinder radio systems, respectively. The decrease in the standard deviation of the interval between the true and filtering values using the filtration algorithm in the single-position angular-rangefinder radio system with SNR values from 0 to 10 dB is on the average 7.65 times, and 7.64 times for the three-position rangefinder radio system. The decrease in the standard deviation of the interval between the true and filtering values in the three-position system in comparison with the single-position system with SNR values from 0 to 10 dB is on the average 5.31 times.

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