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.
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.