Title :
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
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;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2002. IEEE
Print_ISBN :
0-7803-7330-8
DOI :
10.1109/APS.2002.1016050
