Cramer-Rao Lower Bound On Wavefront Sensor Error

J. Cederquist; S. R. Robinson; D. Kryskowski; J. R. Fienup; C. C. Wackerman

doi:10.1117/12.949015

16 January 1986 Cramer-Rao Lower Bound On Wavefront Sensor Error

J. Cederquist, S. R. Robinson, D. Kryskowski, J. R. Fienup, C. C. Wackerman

Proceedings Volume 0551, Adaptive Optics; (1986) https://doi.org/10.1117/12.949015
Event: 1985 Technical Symposium East, 1985, Arlington, United States

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.

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J. Cederquist, S. R. Robinson, D. Kryskowski, J. R. Fienup, and C. C. Wackerman "Cramer-Rao Lower Bound On Wavefront Sensor Error", Proc. SPIE 0551, Adaptive Optics, (16 January 1986); https://doi.org/10.1117/12.949015

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KEYWORDS

Sensors

Wavefront sensors

Error analysis

Shearing interferometers

Signal detection

Adaptive optics

Wavefronts

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