Title :
A general framework for developing and evaluating band-limited function extrapolation methods
Author_Institution :
R. Norwegian Council for Sci. & Ind. Res., Kjeller, Norway
fDate :
10/1/1988 12:00:00 AM
Abstract :
It is shown that the bandlimited function extrapolation can be considered as an approximation problem in operator space. Within this framework, the Papoulis-Gerchberg method and two other methods for extrapolation are analyzed. Particular attention is given to approximation using Taylor and Chebyschev series, and to approximation using the Lagrange interpolation method
Keywords :
extrapolation; series (mathematics); Chebyschev series; Lagrange interpolation method; Papoulis-Gerchberg method; Taylor series; approximation problem; band-limited function extrapolation methods; Chebyshev approximation; Councils; Eigenvalues and eigenfunctions; Extrapolation; Integral equations; Measurement units; Polynomials; Surveillance; Taylor series; Wave functions;
Journal_Title :
Proceedings of the IEEE
