Open AccessSpatial-phase focusing of matrix simulator radiators at two receiving points
Author(s) -
Timur Sabitov
Publication year - 2020
Publication title -
doklady akademii nauk vyšej školy rossijskoj federacii/doklady akademii nauk vysšej školy rossii
Language(s) - English
Resource type - Journals
eISSN - 2658-3747
pISSN - 1727-2769
DOI - 10.17212/1727-2769-2020-1-2-60-67
Subject(s) - position (finance) , monopulse radar , matrix (chemical analysis) , phase (matter) , point (geometry) , radar , point target , computer science , algorithm , set (abstract data type) , essential matrix , simulation , mathematics , geometry , physics , state transition matrix , symmetric matrix , radar imaging , pulse doppler radar , telecommunications , materials science , finance , quantum mechanics , economics , composite material , programming language , eigenvalues and eigenvectors
This paper discusses the issues of constructing the configuration of a coherent matrix simulator for modeling echo signals of a two-position system. The condition is formulated in the form of a system of equations that the emitted signals are in-phase at both points of reception. A matrix satisfying this condition provides a simulation of a target in the same position for two spaced antennas. To ensure in-phase operation, it is proposed to use the possibilities of placing the radiators and controlling the initial phases of the signals. Relations are obtained for calculating the coordinates of the 2-point configuration and for calculating the phase addition value. Based on these relations, an algorithm for the synthesis of an extended one-dimensional matrix with the required angular size is developed. It is shown that the points of such a matrix can be located on one straight line. The obtained algorithm was used to synthesize a configuration of seven emitters for the given parameters of the two-position system. Using numerical experiments, the adequacy of the model was verified. Different positions of the point target were set, and a monopulse direction finder model was used to find its direction. The results of numerical experiments confirm the reliability of the theoretical results. They can be used in mathematical and simulation modeling of reflections from real radar targets for two-position systems.