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

IUCrJ

Gureyev, T.E.¹  Kozlov, A.²  Paganin, D.M.³  Martin, A.V.⁴  Nesterets, Y.I.⁵ 

[1] ARC Centre of Excellence in Advanced Molecular Imaging, School of Physics, University of Melbourne, Parkville, Victoria 3010, Australia;Faculty of Health Sciences, University of Sydney, Sydney NSW 2006, Australia;Manufacturing, CSIRO, Clayton, Victoria 3168, Australia;School of Physics and Astronomy, Monash University, Clayton, Victoria 3800, Australia;School of Science and Technology, University of New England, Armidale NSW 2351, Australia

关键词: COHERENT DIFFRACTIVE IMAGING;    SIGNAL-TO-NOISE RATIO;    SPATIAL RESOLUTION;    INFORMATION CAPACITY;   

DOI  :  10.1107/S2052252518010941

学科分类：数学（综合）

来源: International Union of Crystallography

【 摘 要 】

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.

【 授权许可】

CC BY