Open AccessError Estimates from Noise Samples for Iterative Algorithm in Shift‐Invariant Signal Spaces
Author(s) -
Jun Xian
Publication year - 2010
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2010/214213
Subject(s) - jitter , algorithm , mathematics , noise (video) , white noise , iterative method , invariant (physics) , sampling (signal processing) , signal (programming language) , noise measurement , computer science , statistics , noise reduction , artificial intelligence , telecommunications , programming language , detector , mathematical physics , image (mathematics)
We consider error estimates of iterative algorithm inshift-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 beengiven 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 noisesamples, noise samples with time jitter, and iterative noise
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