Comparison of minimum-norm maximum likelihood and maximum a posteriori wavefront reconstructions for large adaptive optics systems

被引:18
作者
Bechet, Clementine [1 ]
Tallon, Michel
Thiebaut, Eric
机构
[1] Univ Lyon, F-69000 Lyon, France
关键词
LEAST-SQUARES; FOURIER-TRANSFORM; COMPENSATION; PERFORMANCE; COMPUTATION; INSTRUMENT; ALGORITHMS; DISTORTION;
D O I
10.1364/JOSAA.26.000497
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The performances of various estimators for wavefront sensing applications such as adaptive optics (AO) are compared. Analytical expressions for the bias and variance terms in the mean squared error (MSE) are derived for the minimum-norm maximum likelihood (MNML) and the maximum a posteriori (MAP) reconstructors. The MAP estimator is analytically demonstrated to yield an optimal trade-off that reduces the MSE, hence leading to a better Strehl ratio. The implications for AO applications are quantified thanks to simulations on 8-m- and 42-m-class telescopes. We show that the MAP estimator can achieve twice as low MSE as MNML methods do. Large AO systems can thus benefit from the high quality of MAP reconstruction in O(n) operations. thanks to the fast fractal iterative method (FrIM) algorithm (Thiebaut and Tallon, submitted to J. Opt. Soc. Am. (C) 2009 Optical Society of America
引用
收藏
页码:497 / 508
页数:12
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