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Problemy Peredachi Informatsii, 1993, Volume 29, Issue 4, Pages 46–57 (Mi ppi200)  
Methods of Signal Processing

A Method for Differentiating Functions With Finite Domain of Definition on the Basis of Spline-Extensions and the Kotelnikov Series

Yu. G. Bulychev, I. V. Burlai
Full-text PDF (1072 kB)
Abstract: We propose a unified matrix-differential approach to synthesis of messages with a finite spectrum and to $N$-time differentiation of such messages. This approach is based on spline-extensions and the Kotelnikov series with a finite number of terms. It provides high numerical stability with respect to systematic and random errors.
Received: 07.05.1992
Revised: 18.02.1993
Bibliographic databases:
Document Type: Article
UDC: 621.391
Language: Russian
Citation: Yu. G. Bulychev, I. V. Burlai, “A Method for Differentiating Functions With Finite Domain of Definition on the Basis of Spline-Extensions and the Kotelnikov Series”, Probl. Peredachi Inf., 29:4 (1993), 46–57; Problems Inform. Transmission, 29:4 (1993), 339–349
Citation in format AMSBIB
\Bibitem{BulBur93}
\by Yu.~G.~Bulychev, I.~V.~Burlai
\paper A~Method for Differentiating Functions With Finite Domain of Definition on the Basis of Spline-Extensions and the Kotelnikov Series
\jour Probl. Peredachi Inf.
\yr 1993
\vol 29
\issue 4
\pages 46--57
\mathnet{http://mi.mathnet.ru/ppi200}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1257596}
\zmath{https://zbmath.org/?q=an:0810.94005}
\transl
\jour Problems Inform. Transmission
\yr 1993
\vol 29
\issue 4
\pages 339--349
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    		Проблемы передачи информации Problems of Information Transmission
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