Abstract and Applied Analysis

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

Jun Xian

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 214213, 9 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170915

Digital Object Identifier
doi:10.1155/2010/214213

Mathematical Reviews number (MathSciNet)
MR2737926

Zentralblatt MATH identifier
1201.94063

Citation

Xian, Jun. Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces. Abstr. Appl. Anal. 2010 (2010), Article ID 214213, 9 pages. doi:10.1155/2010/214213. https://projecteuclid.org/euclid.aaa/1313170915


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