Title :
Sampling and interpolation in two dimensions
Author :
Cochrane, B. ; Dawson, K.P. ; Fiddy, M.A. ; Hall, T.J.
Author_Institution :
University of London, Kensington, London, UK.
Abstract :
The aim of this paper is to consider the interpretation of limited data sets to represent functions which are bandlimited. It is shown that limited data leads to a degree of non-uniqueness of interpolation and extrapolation that only the imposition of a priori constraints can reduce. An approach is described to enable a priori information to be incorporated in a Fourier reconstruction scheme.
Keywords :
Educational institutions; Eigenvalues and eigenfunctions; Extrapolation; Fourier transforms; H infinity control; Interpolation; Physics; Sampling methods; Stability; Taylor series;
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '82.
DOI :
10.1109/ICASSP.1982.1171637
