Mathematics

Fejer radiation pattern for linear antenna and solving the problem of amplitude-phase synthesis

V. A. Kostin^a, D. V. Kostin^ab, A. V. Kostin<sup>a

a</sup> Voronezh State University, Voronezh, Russia
^b JSC Concern «Sozvezdie», Voronezh, Russia

Abstract: For the first time, the problem of amplitude-phase synthesis for a linear antenna with a radiation pattern represented by the Fejer core is solved. It turns out that the design of such radiation patterns combines both the interpolation capabilities of Hermite polynomials used for this purpose in the works of P.K. Suetin and the approximation properties of trigonometric sums, which are Fourier transforms of atomic functions indicated in B.F. Kravchenko.

Keywords: Fejer sum, orthogonal polynomial, radiation pattern, linear antenna, problem of amplitude-phase synthesis.

UDC: 517.9+519.62+621.396

Received: 25.02.2020
Revised: 11.05.2020

DOI: 10.24411/2500-0101-2020-15208