The use of atomic functions for interpolation of bandlimited signals and solving some antenna synthesis problems

Author

Kravchenko, Victor F. ; Basarab, Michael A.

Author_Institution

Inst. of Radio Eng. & Electron., Acad. of Sci., Moscow, Russia

Volume

2

fYear

2002

fDate

2002

Firstpage

152

Abstract

A signal with a compactly supported spectrum can be restored using a discrete set of its samplings. A new method for reconstruction of bandlimited signals with the use of atomic functions (AF) is proposed and justified. Atomic functions are infinite differentiable compactly supported solutions to linear functional-differential equations. The novel approach is applied to solving some problems of antenna synthesis. Numerical experiments show its effectiveness.

Keywords

Fourier transforms; antenna arrays; antenna radiation patterns; antenna theory; functional equations; interpolation; linear differential equations; signal reconstruction; Fourier transform; antenna synthesis; atomic functions; bandlimited signal reconstruction; linear differential equations; linear functional equations; radiation patterns; Antenna radiation patterns; Atomic measurements; Bonding; Differential equations; Fourier transforms; Interpolation; Linear antenna arrays; Sampling methods; Signal restoration; Signal synthesis;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2002. IEEE

Print_ISBN

0-7803-7330-8

Type

conf

DOI

10.1109/APS.2002.1016050

Filename

1016050