Title :
Direct weighted Lagrange-Yen type interpolation in L2([-π,π]2)
Author :
Pogány, Tibor K. ; Tudor, Mato
Author_Institution :
Dept. of Maritime Studies, Rijeska Univ., Croatia
Abstract :
A bivariate weighted Lagrange-Yen type interpolation formula is derived by means of the Kotel´nikov-Shannon sampling restoration formula for deterministic signals from Paley-Wiener function space L2([-π,π]2). The interpolation parameter size is computed with the approximation relative error level and the coordinatewise sample deviations are prescribed, when the sinc-type weight function is used for interpolation convergence rate improvement.
Keywords :
convergence of numerical methods; interpolation; sampling methods; Kotelnikov-Shannon sampling restoration formula; L2([-π,π]2); Paley-Wiener function space; approximation relative error level; bivariate weighted Lagrange-Yen type interpolation formula; coordinatewise sample deviations; deterministic signals; direct weighted Lagrange-Yen type interpolation; interpolation convergence rate improvement; interpolation parameter size; sinc-type weight function; Convergence; Finite wordlength effects; Hilbert space; Interpolation; Lagrangian functions; Lattices; Nonuniform sampling; Sampling methods; Signal restoration; Size measurement;
Conference_Titel :
Information Technology Interfaces, 2001. ITI 2001. Proceedings of the 23rd International Conference on
Print_ISBN :
953-96769-3-2
DOI :
10.1109/ITI.2001.938050
