Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/18611
Title: On the noise-resolution duality, Heisenberg uncertainty and Shannon's information
Contributor(s): Gureyev, Timur  (author)orcid ; de Hoog, F R (author); Nesterets, Yakov  (author); Paganin, D M (author)
Publication Date: 2015
Open Access: Yes
DOI: 10.21914/anziamj.v56i0.9414Open Access Link
Handle Link: https://hdl.handle.net/1959.11/18611
Open Access Link: http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/9414/0Open Access Link
Abstract: Several variations of the Heisenberg uncertainty inequality are derived on the basis of 'noise-resolution duality' recently proposed by us. The same approach leads to a related inequality that provides an upper limit for the information capacity of imaging systems in terms of the number of imaging quanta (particles) used in the experiment. These results are useful in the context of biomedical imaging constrained by the radiation dose delivered to the sample, or in imaging (eg., astronomical) problems under low light conditions.
Publication Type: Journal Article
Source of Publication: The ANZIAM Journal, v.56, p. C1-C5
Publisher: Cambridge University Press
Place of Publication: United Kingdom
ISSN: 1446-8735
1446-1811
Field of Research (FOR): 010299 Applied Mathematics not elsewhere classified
020504 Photonics, Optoelectronics and Optical Communications
020501 Classical and Physical Optics
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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