Signal-to-noise, spatial resolution and information capacity of coherent diffraction imaging

Gureyev, T, Kozlov, A, Nesterets, Y, Paganin, D, Martin, A and Quiney, H 2018, 'Signal-to-noise, spatial resolution and information capacity of coherent diffraction imaging', IUCrJ, vol. 5, no. 6, pp. 716-726.

Document type: Journal Article
Collection: Journal Articles

Title Signal-to-noise, spatial resolution and information capacity of coherent diffraction imaging
Author(s) Gureyev, T
Kozlov, A
Nesterets, Y
Paganin, D
Martin, A
Quiney, H
Year 2018
Journal name IUCrJ
Volume number 5
Issue number 6
Start page 716
End page 726
Total pages 11
Publisher International Union of Crystallography
Abstract It is shown that the average signal-to-noise ratio (SNR) in the three-dimensional electron-density distribution of a sample reconstructed by coherent diffractive imaging cannot exceed twice the square root of the ratio of the mean total number of scattered photons detected during the scan and the number of spatially resolved voxels in the reconstructed volume. This result leads to an upper bound on Shannon's information capacity of this imaging method by specifying the maximum number of distinguishable density distributions within the reconstructed volume when the radiation dose delivered to the sample and the spatial resolution are both fixed. If the spatially averaged SNR in the reconstructed electron density is fixed instead, the radiation dose is shown to be proportional to the third or fourth power of the spatial resolution, depending on the sampling of the three-dimensional diffraction space and the scattering power of the sample.
Subject Condensed Matter Imaging
Keyword(s) coherent diffractive imaging
information capacitys
signal-to-noise ratio
spatial resolution
DOI - identifier 10.1107/S2052252518010941
Copyright notice © 2018 Timur E. Gureyev et al.
ISSN 2052-2525
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