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Proceedings Paper

Cramer-Rao Lower Bound On Wavefront Sensor Error
Author(s): J. Cederquist; S. R. Robinson; D. Kryskowski; J. R. Fienup; C. C. Wackerman
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Paper Abstract

Wavefront sensors that can operate at low light levels, be built from present technology components, and provide accurate wavefront phase estimates in real-time are required for use with adaptive optics systems. The use of estimation theory makes possible the evaluation of wavefront sensors without specification of the wavefront phase estimation algorithms. The Cramer-Rao method was used to find a lower bound on integrated rms wavefront sensor estimation error. In addition to an analysis of the general case, the error lower bound was numerically evaluated for the shearing interferometer wavefront sensor. Computer simulations of the atmosphere and wavefront sensor measurements including noise were per-formeo. Using an appropriate algorithm, the phase was estimated and the resulting phase error was compared with the lower bound. The results support the validity of using the Cramer-Rao lower bound to evaluate wavefront sensor performance.

Paper Details

Date Published: 16 January 1986
PDF: 10 pages
Proc. SPIE 0551, Adaptive Optics, (16 January 1986); doi: 10.1117/12.949015
Show Author Affiliations
J. Cederquist, Environmental Research Institute of Michigan (United States)
S. R. Robinson, Environmental Research Institute of Michigan (United States)
D. Kryskowski, Environmental Research Institute of Michigan (United States)
J. R. Fienup, Environmental Research Institute of Michigan (United States)
C. C. Wackerman, Environmental Research Institute of Michigan (United States)

Published in SPIE Proceedings Vol. 0551:
Adaptive Optics
Jacques E. Ludman, Editor(s)

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