Abstract
An analysis of the noise-resistant properties of spline interpolation structures used for arriving at an approximate description of information processes is presented. An algorithm for generating recommendations for selecting priority methods of transmission and processing of such structures is constructed on the basis of the results of the analysis.
Similar content being viewed by others
References
Ahlberg, J.H., Nilson, E.N, and Walsh, J.L., Theory of Splines and Applications, New York: Academic, 1967.
Stechkin, S.B. and Subbotin, Yu.N., Splayny v Vychislitel’noy Matematike (Splines in Computational Mathematics), Moscow: Nauka, 1976.
Zav’yalov, Yu.S., Kvasov, B.I., and Miroshnichenk, V.L., Melody Splayn-Funktsiy (Methods of Spline Functions), Moscow: Nauka, 1980.
Vasilenko, V.A., Splayn-Funktsii: Teoriya, Algoritmy, Programmy (Spline Functions: Theory, Algorithms, Computer Programs), Novosibirsk: Nauka, 1983.
Korneychuk, N.P., Splayny v Teorii Priblizheniya (Splines in Approximation Theory), Moscow: Nauka, 1984.
Vershinin, V.V., Zav’yalov, Yu.S., and Pavlov, N.N., Ekstremal’nye Svoystva Splaynov i Zadacha Sglazhivaniya (Extremal Properties of Splines and the Smoothing Problem), Novosibirsk: Nauka, 1988.
Taran, V.N. and Khutortsev, V.V., Use of the Method of Spline Collocation for the Synthesis of a System of Joint Detection and Estimation of Signals, Problemy Peredachi Informatsii, 1984, vol. 20, No. 4, pp. 41–50.
Khutortsev, V.V. and Taran, V.N., Use of Splines to Study Nonlinear Filtration Algorithms, Radiotekhnika i Elektronika, 1986, vol. 31, No. 11, pp. 2180–2186.
Khutortsev, V.V., Method of Gaussian Spline Approximation in a Problem of Adaptive Filtration, Radiotekhnika i Elektronika, 1986, vol. 35, No. 6, pp. 1217–1225.
Khutortsev, V.V., Use of Bases of Compactly Supported Functions in Problems of Filtration of a priori Undefined Time Processes on Stochastic Spatial Fractals, Problemy Peredachi Informatsii, 1998, vol. 34, No. 2, pp. 86–97.
Holladay, J.C., Smoothest Curve Approximation, Math. Tables Aids Computation, 1957, vol. 11, pp. 233–243.
Schoenberg, I.J., Spline Functions and the Problem of Graduation, Proc. Nat. Acad. Sci., 1964, vol. 52, pp. 947–950.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.V. Khutortsev, 2007, published in Avtomatika i Vychislitel’naya Tekhnika, 2007, No. 5, pp. 3–17.
About this article
Cite this article
Khutortsev, V.V. Analysis of noise-resistant properties of spline interpolation structures in estimation problems. Aut. Conrol Comp. Sci. 41, 237–248 (2007). https://doi.org/10.3103/S014641160705001X
Received:
Issue Date:
DOI: https://doi.org/10.3103/S014641160705001X