Direct weighted Lagrange-Yen type interpolation in L/sup 2/([-/spl pi/,/spl pi/]/sup 2/)

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 L/sup 2/([-/spl pi/,/spl pi/]/sup 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.