Cramér-Rao lower bound and maximum-likelihood estimation in ptychography with Poisson noise

Xukang Wei*, H. Paul Urbach, Wim M.J. Coene

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)
159 Downloads (Pure)

Abstract

We investigate the performance of ptychography with noisy data by analyzing the Cramér-Rao lower bound. The lower bound of ptychography is derived and numerically computed for both top-hat plane wave and structured illumination. The influence of Poisson noise on the ptychography reconstruction is discussed. The computation result shows that, if the estimator is unbiased, the minimum variance for Poisson noise is mostly determined by the illumination power and the transmission function of the object. Monte Carlo analysis is conducted to validate our calculation results for different photon flux numbers. Furthermore, the performance of the maximum-likelihood method and the approach of amplitude-based cost-function minimization is studied in the Monte Carlo analysis.

Original languageEnglish
Article number043516
Number of pages14
JournalPhysical Review A
Volume102
Issue number4
DOIs
Publication statusPublished - 2020

Fingerprint

Dive into the research topics of 'Cramér-Rao lower bound and maximum-likelihood estimation in ptychography with Poisson noise'. Together they form a unique fingerprint.

Cite this