Share Email Print

Proceedings Paper

Fundamental Performance Limitations For The Phase Retrieval Problem
Author(s): Stanley R. Robinson
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

Precomputable (Cramer-Rao) lower bounds for the integrated mean-square error are presented for the phase retrieval problem. The results are based upon the assumption that the phase is a sample function of a Gaussian random process and that the intensity measurements include additive white Gaussian noise. The bound, which is obtained from an information kernel which is the solution to a Fredholm integral equation, clearly demonstrates the effect of prior statistics, measurement noise and the nature of the linear transformation introduced prior to detection. Several examples are given; in particular, the role of diffraction is shown to be quite important for successful phase retrieval. Finally, the results are extended to include independent measurements of intensity in several planes.

Paper Details

Date Published: 1 August 1983
PDF: 5 pages
Proc. SPIE 0351, Wavefront Sensing, (1 August 1983);
Show Author Affiliations
Stanley R. Robinson, Environmental Research Institute of Michigan (United States)

Published in SPIE Proceedings Vol. 0351:
Wavefront Sensing
Noah Bareket; Chris L. Koliopoulos, Editor(s)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?