Statistics – Computation
Scientific paper
Nov 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998spie.3433..262v&link_type=abstract
Proc. SPIE Vol. 3433, p. 262-272, Propagation and Imaging through the Atmosphere II, Luc R. Bissonnette; Ed.
Statistics
Computation
Scientific paper
The Hartmann sensor is a popular wavefront sensor (WFS) for measuring the wavefront gradient in the pupil of an adaptive optical telescope. Conventional methods for estimating the wavefront slope within each WFS subaperture rely on a centroid computation of the subaperture detector irradiance distribution. The centroid computation is equivalent to a first moment calculation. A maximum a-posteriori (MAP) slope estimator improves on the conventional centroid estimator by taking advantage of priori knowledge of the subaperture wavefront slope statistics and total irradiance falling on the subaperture array. In order to derive a closed form solution for the MAP estimator, several assumptions were made in a previously published paper. These assumptions include: infinitely small pixels on the subaperture detector arrays, no read noise in the detection process, and on irradiance spillover between adjacent subapertures. By implementing the Hartmann WFS and MAP estimator in a detailed computer simulation, the performance of the MAP estimator was evaluated using realizable WFS parameters. The simulation shows that even when the assumptions used to derive the MAP slope estimator are relaxed, the MAP estimator outperforms the conventional subaperture centroid estimator.
Roggemann Michael C.
van Caster Troy B.
Welsh Byron M.
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