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
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
@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
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/