Title :
The extrapolation of high-dimensional band-limited functions
Author :
Zhou, Xing-Wei ; Xia, Xiang-Gen
Author_Institution :
Dept. of Math., Nankai Univ., Tianjin, China
fDate :
10/1/1989 12:00:00 AM
Abstract :
The Papoulis (1975)-Gerchberg (1974) algorithm for the extrapolation of one-dimensional band-limited signals is extended to multidimensional band-limited signals. Thus, an extrapolation method for these signals is obtained. One- and two-dimensional cases are discussed. A theorem and detailed proof are provided
Keywords :
extrapolation; functional equations; signal processing; Papoulis-Gerchberg algorithm; extrapolation; multidimensional band-limited signals; signal processing; theorem; Approximation algorithms; Discrete Fourier transforms; Extrapolation; Interpolation; Mathematics; Multidimensional systems;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
