Duality between noise and spatial resolution in linear systems

Title
Duality between noise and spatial resolution in linear systems
Publication Date
2014
Author(s)
Gureyev, Timur
( author )
OrcID: https://orcid.org/0000-0002-1103-0649
Email: tgureyev@une.edu.au
UNE Id une-id:tgureyev
Nesterets, Yakov
de Hoog, Frank
Schmalz, Gerd
( author )
OrcID: https://orcid.org/0000-0002-6141-9329
Email: schmalz@une.edu.au
UNE Id une-id:schmalz
Mayo, Sheridan C
Mohammadi, Sara
Tromba, Giuliana
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Optical Society of America
Place of publication
United States of America
DOI
10.1364/OE.22.009087
UNE publication id
une:15205
Abstract
It is shown that in a broad class of linear systems, including general linear shift-invariant systems, the spatial resolution and the noise satisfy a duality relationship, resembling the uncertainty principle in quantum mechanics. The product of the spatial resolution and the standard deviation of output noise in such systems represents a type of phase-space volume that is invariant with respect to linear scaling of the point-spread function, and it cannot be made smaller than a certain positive absolute lower limit. A corresponding intrinsic 'quality' characteristic is introduced and then evaluated for the cases of some popular imaging systems, including computed tomography, generic image convolution and phasecontrast imaging. It is shown that in the latter case the spatial resolution and the noise can sometimes be decoupled, potentially leading to a substantial increase in the imaging quality.
Link
Citation
Optics Express, 22(8), p. 9087-9094
ISSN
1094-4087
Start page
9087
End page
9094

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