The method of selecting the optimal parameters of the probing signal when operating in high-resolution mode


Аuthors

Zyuzin A. V.1*, Zakharov A. S.2**, Perlov A. Y.2***, Timoshenko A. V.3

1. Higher Military School of Air Defense, 28, Moskovsky avenue, Yaroslavl, 150001, Russia
2. Lomonosov Moscow State University, 1, Leninskie Gory, Moscow, 119991, Russia
3. Higher Military School of Air Defense, 28, Moskovsky avenue, Yaroslavl, 150001, Russia

*e-mail: Aleksey.zyuzin@mail.ru
**e-mail: zakharov.as17@physics.msu.ru
***e-mail: laperlov@yandex.ru

Abstract

The article shows that when solving problems of high-precision tracking of spacecraft under the influence of destructive factors, the use of probing signals of a radar station (RLS) signals, as a rule, does not achieve its theoretically justified efficiency.
It is shown that the accuracy characteristics of the super-resolution mode are determined by the operating frequency band, the spectrum width of the probing signals used, the unevenness of the frequency response of the radar receiving system, as well as the requirements for probing signals. The relationship between the accuracy characteristics of the radar and destructive factors, frequency response, signal-to-noise ratio, amplitude-phase distribution, including those determining the operation of the radar in the super-resolution mode, is given. The necessity of operational consideration of radar capabilities for application of signals for operation in the mode with increased resolution is substantiated based on the results of analysis of the whole set of destructive factors: both external (real cosmic background, auroral interference, passive and active (noise and simulating interference), and internal destructive factors (thermal processes and thermal fluctuations, distortions during formation of probing signals, etc.).
To control signals in the interests of improving the quality of processing of received information, a technique based on a complex indicator has been developed in the interests of improving the quality of operation in the super-resolution mode. Due to the established connections, it is possible to operate with a large volume of data on signals while tandemly calculating information on the dynamics of destructive effects. Based on the Fokker-Planck equation, an initial-boundary value problem has been obtained for calculating the probability distribution density of the impact of destructive factors on equipment, the solution of which allows one to estimate the need to change the signal. The solution of the initial-boundary value problem of calculating the probability density of the impact of destructive factors, as well as the calculation of the risk of choosing a non-optimal signal using the example of a linear-frequency modulated signal and a Costas signal, is presented.
A demonstration experiment was conducted, step by step showing the operation of the intelligent module for finding the probability density of the impact of destructive factors and calculating the risk of choosing a non-optimal signal.
The distribution of the probability density of the impact of destructive factors for different moments in time using different types of probing signals is given. The dependence of the risk of choosing a non-optimal signal on time for a chirp signal and a Costas signal is determined.
The article presents the main provisions of a comprehensive methodology for managing signals from space monitoring radars in the super-resolution mode, a distinctive feature of which is the operational assessment of destructive factors jointly.

Keywords:

Fokker-Planck equation, radar station, destructive factors, antenna array

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