Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 29 (1989) no. 11, pp. 1737-1740
Citer cet article
L. A. Aizenberg; B. A. Kravtsov; B. A. Shaimkulov. An estimate of the stability of interpolation of signals with a finite Fourier spectrum and a computational experiment. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 29 (1989) no. 11, pp. 1737-1740. http://geodesic.mathdoc.fr/item/ZVMMF_1989_29_11_a13/
@article{ZVMMF_1989_29_11_a13,
author = {L. A. Aizenberg and B. A. Kravtsov and B. A. Shaimkulov},
title = {An estimate of the stability of interpolation of signals with a finite {Fourier} spectrum and a computational experiment},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1737--1740},
year = {1989},
volume = {29},
number = {11},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1989_29_11_a13/}
}
TY - JOUR
AU - L. A. Aizenberg
AU - B. A. Kravtsov
AU - B. A. Shaimkulov
TI - An estimate of the stability of interpolation of signals with a finite Fourier spectrum and a computational experiment
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1989
SP - 1737
EP - 1740
VL - 29
IS - 11
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1989_29_11_a13/
LA - ru
ID - ZVMMF_1989_29_11_a13
ER -
%0 Journal Article
%A L. A. Aizenberg
%A B. A. Kravtsov
%A B. A. Shaimkulov
%T An estimate of the stability of interpolation of signals with a finite Fourier spectrum and a computational experiment
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1989
%P 1737-1740
%V 29
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_1989_29_11_a13/
%G ru
%F ZVMMF_1989_29_11_a13
A stability bound is derived and a computational experiment is conducted for the interpolation of signals with a finite Fourier spectrum (or interpolation of the Fourier spectrum of finite signals) The interpolation is conducted by the method previously proposed by one of the authors, which uses a simple interpolation formula for analytical functions from the Wiener class. The method can be applied to suppress noise concentrated in a certain frequency band in cases which require inversion of the Radon transform using incomplete data in computer tomography and other situations.
