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Linear antenna array synthesis on the given envelope of the directional pattern sidelobes

Keywords:

V. A. Voloshin – Ph.D. (Eng.), Senior Research Scientist, FSUE “Rostov-on-Don Scientific Research Institute of Radio Communication” A. Yu. Larin – Head of Department, FSUE “Rostov-on-Don Scientific Research Institute of Radio Communication” A. V. Litvinov – Head of Sector, FSUE “Rostov-on-Don Scientific Research Institute of Radio Communication”. E-mail: alexey_litvinov@mail.ru


The numerically stable algorithm of synthesis of amplitude-phase distribution has been developed for linear antenna arrays (LAA) on the given unsymmetrical relative to maximum envelope of pattern sidelobes. The step-by-step approach to the given envelope of pattern sidelobe maximums has been applied for achievement of high precision. The pattern of LAA with uniform amplitude distribution has been used as the initial pattern. The given sidelobes levels of a pattern for synthesis are decreased with discrete, inversely proportional to the chosen number of steps. On each step the system of linear algebraic equations (SLAE) is solved, the complex amplitudes of emitter currents are defined, a directional pattern of LAA and sidelobe envelope of a pattern are calculated. The solution of SLAE on each step is executed by an iteration conjugate gradients method. As an example the results of synthesis of amplitude-phase distribution on the given sidelobes envelope of a pattern for equidistant linear antenna arrays with number of radiators 32 and 48 have been presented. The algorithm performance has been illustrated by numerical examples for linear antenna arrays with the Dolf-Chebyshev pattern and with a wide null form of a pattern. The received results demonstrate a solution possibility of an amplitude-phase synthesis of linear antenna arrays on the given unsymmetrical relative to a maximum sidelobe envelope of a pattern with high enough accuracy.
References:

 

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