Title :
A Fast Convergence Algorithm for Band-Limited Extrapolation by Sampling
Author_Institution :
Dept. of Math., Univ. of Texas-Pan American, Edinburg, TX
Abstract :
In this paper, an algorithm for band-limited extrapolation is presented. This uses Shannon´s sampling theorem and Fourier series. Error analysis is given by proof. The convergence rate is much faster than that of the Papoulis-Gerchberg algorithm. The procedure of the fast convergence algorithm is described in detail. The result is demonstrated by numerical examples.
Keywords :
Fourier series; bandlimited signals; convergence of numerical methods; extrapolation; signal sampling; Fourier series; Papoulis-Gerchberg algorithm; Shannon sampling theorem; band-limited extrapolation; fast convergence algorithm; Band-limited signal; extrapolation; sampling;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2008.2006582
