On the noise-resolution duality, Heisenberg uncertainty and Shannon's information

Timur Gureyev; F R de Hoog; Yakov Nesterets; D M Paganin

doi:10.21914/anziamj.v56i0.9414

On the noise-resolution duality, Heisenberg uncertainty and Shannon's information

Timur Gureyev, F R de Hoog, Yakov Nesterets, D M Paganin

School of Science & Technology

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Pages (from-to)	C1-C5
Journal	The ANZIAM Journal
Volume	56
DOIs	https://doi.org/10.21914/anziamj.v56i0.9414
Publication status	Published - 2015
Event	CTAC 2014: 17th biennial Computational Techniques and Applications Conference - Australian National University, Canberra, Australia Duration: 1 Dec 2014 → 3 Dec 2014

Keywords

Applied Mathematics
Classical and Physical Optics
Photonics, Optoelectronics and Optical Communications

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title = "On the noise-resolution duality, Heisenberg uncertainty and Shannon's information",

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.",

keywords = "Applied Mathematics, Classical and Physical Optics, Photonics, Optoelectronics and Optical Communications",

author = "Timur Gureyev and \{de Hoog\}, \{F R\} and Yakov Nesterets and Paganin, \{D M\}",

year = "2015",

doi = "10.21914/anziamj.v56i0.9414",

language = "English",

volume = "56",

pages = "C1--C5",

journal = "The ANZIAM Journal",

issn = "1446-1811",

publisher = "Cambridge University Press",

note = "CTAC 2014: 17th biennial Computational Techniques and Applications Conference ; Conference date: 01-12-2014 Through 03-12-2014",

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TY - JOUR

T1 - On the noise-resolution duality, Heisenberg uncertainty and Shannon's information

AU - Gureyev, Timur

AU - de Hoog, F R

AU - Nesterets, Yakov

AU - Paganin, D M

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Applied Mathematics

KW - Classical and Physical Optics

KW - Photonics, Optoelectronics and Optical Communications

U2 - 10.21914/anziamj.v56i0.9414

DO - 10.21914/anziamj.v56i0.9414

M3 - Conference article

SN - 1446-1811

VL - 56

SP - C1-C5

JO - The ANZIAM Journal

JF - The ANZIAM Journal

T2 - CTAC 2014: 17th biennial Computational Techniques and Applications Conference

Y2 - 1 December 2014 through 3 December 2014

ER -

On the noise-resolution duality, Heisenberg uncertainty and Shannon's information

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Keywords

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