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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Imprimir: 0040-2508
ISSN On-line: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v58.i9-10.50
15 pages

Constructive Methods of Approximation of Entire Functions of Exponential Type with the Use of Atomic Functions

Miklhail Alekseevich Basarab
Bauman Moscow Slate Technical University, Russia
Victor Filippovich Kravchenko
Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 11-7, Mokhovaya St., Moscow 125009, Russia; Bauman Moscow State Technical University, 5, Vtoraya Baumanskaya St., Moscow 105005 Russia; Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, 15, Butlerova St., Moscow 117342, Russia


Methods of the theory of functions and functional [1-3] are used widely for solving the different problems of digital signal processing. Among the classical approximation tools (algebraic and trigonometric polynomials, splines), the non-classical approximation methods based on the theory of atomic functions (AF) [4-7] should be mentioned. In this work, for the first time AFs are used for solving such spectral problems of approximation theory as summing the Fourier series and approximation by Levitan's polynomials. Examples of numerical realization of the proposed algorithms are presented in connection with solving the problems of an antenna synthesis [8-10].

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