Abstract and Applied Analysis
Volume 2010 (2010), Article ID 214213, 9 pages
doi:10.1155/2010/214213
Research Article

Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces

Jun Xian

Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

Received 1 September 2010; Accepted 4 October 2010

Academic Editor: Douglas Robert Anderson

Copyright © 2010 Jun Xian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider error estimates of iterative algorithm in shift-invariant signal spaces. For the classical sampling and reconstruction algorithm, error estimate from its samples corrupted by white noises are widely studied, but the error analysis of noise with time jitter and iterative noise has not been given as much attention. In this paper, three types of error estimates are studied. In detail, we obtain the error estimate for reconstructing a signal from its noise samples, noise samples with time jitter, and iterative noise.