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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1989, Volume 29, Number 11, Pages 1737–1740 (Mi zvmmf3362)  
Scientific communications

An estimate of the stability of interpolation of signals with a finite Fourier spectrum and a computational experiment

L. A. Aizenberg, B. A. Kravtsov, B. A. Shaimkulov

Krasnoyarsk
Full-text PDF (503 kB)
Abstract: 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.
Received: 09.08.1988
Revised: 19.04.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1989, Volume 29, Issue 6, Pages 97–99
DOI: https://doi.org/10.1016/S0041-5553(89)80014-X
Bibliographic databases:
Document Type: Article
UDC: 519.652
MSC: Primary 65T40; Secondary 65K10, 42A16, 93E11
Language: Russian
Citation: 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”, Zh. Vychisl. Mat. Mat. Fiz., 29:11 (1989), 1737–1740; U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 97–99
Citation in format AMSBIB
\Bibitem{AizKraSha89}
\by L.~A.~Aizenberg, B.~A.~Kravtsov, B.~A.~Shaimkulov
\paper An estimate of the stability of interpolation of signals with a finite Fourier spectrum and a computational experiment
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1989
\vol 29
\issue 11
\pages 1737--1740
\mathnet{http://mi.mathnet.ru/zvmmf3362}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1026007}
\zmath{https://zbmath.org/?q=an:0686.65099}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1989
\vol 29
\issue 6
\pages 97--99
\crossref{https://doi.org/10.1016/S0041-5553(89)80014-X}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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