Photon-limited bounds for phase retrieval
Document Type
Article
Publication Date
5-5-2021
Department
Department of Electrical and Computer Engineering
Abstract
We show that the optimal Cramér-Rao lower bound on the mean-square error for the estimation of a coherent signal from photon-limited intensity measurements is equal to the number of signal elements, or the number of signal elements minus one when we account for the unobservable reference phase. Whereas this bound is attained by phase-quadrature holography, we also show that it can be attained through a phase-retrieval system that does not require a coherent reference. We also present the bounds for classic phase-retrieval and ptychography, and show that practical coding strategies can approach optimal performance.
Publication Title
Optics Express
Recommended Citation
Schulz, T. J.,
Brady, D.,
&
Wang, C.
(2021).
Photon-limited bounds for phase retrieval.
Optics Express,
29(11), 16736-16748.
http://doi.org/10.1364/OE.425796
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/14865