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https://hdl.handle.net/1959.11/18611
Title: | On the noise-resolution duality, Heisenberg uncertainty and Shannon's information | Contributor(s): | Gureyev, Timur (author) ; de Hoog, F R (author); Nesterets, Yakov (author); Paganin, D M (author) | Publication Date: | 2015 | Open Access: | Yes | DOI: | 10.21914/anziamj.v56i0.9414 | Handle Link: | https://hdl.handle.net/1959.11/18611 | Open Access Link: | http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/9414/0 | 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: | Conference Publication | Conference Details: | CTAC 2014: 17th biennial Computational Techniques and Applications Conference, Canberra, Australia, 1st - 3rd December, 2014 | 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 |
Fields of Research (FoR) 2008: | 010299 Applied Mathematics not elsewhere classified 020504 Photonics, Optoelectronics and Optical Communications 020501 Classical and Physical Optics |
Fields of Research (FoR) 2020: | 490199 Applied mathematics not elsewhere classified 510204 Photonics, optoelectronics and optical communications 510302 Classical and physical optics |
Socio-Economic Objective (SEO) 2008: | 970102 Expanding Knowledge in the Physical Sciences | Socio-Economic Objective (SEO) 2020: | 280120 Expanding knowledge in the physical sciences | Peer Reviewed: | Yes | HERDC Category Description: | E1 Refereed Scholarly Conference Publication |
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Appears in Collections: | Conference Publication |
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