Information Theoretic Bounds of Phase Diversity for Diversity Polynomials and Noise Statistics

机译：分集多项式和噪声统计的相位分集的信息理论界

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Information theoretic bounds on the estimated Zernike coefficients for various diversity phase functions are analyzed in this paper. We will show that, in certain cases, defocus diversity may yield higher Cramer-Rao lower bound (CRLB) than some other diversity phase functions. Evaluating the performance of the phase diversity algorithm using simulated images, we find that for an extended scene and defocus diversity, the phase diversity algorithm achieves the CRLB for known objects and approaches the CRLB by about a factor of two for unknown objects.

机译：本文分析了各种分集相位函数的估计Zernike系数的信息理论界。我们将证明，在某些情况下，散焦分集可能会比其他分集相位函数产生更高的Cramer-Rao下界（CRLB）。使用模拟图像评估相位分集算法的性能，我们发现，对于扩展场景和散焦分集，相位分集算法可实现已知对象的CRLB，而未知对象的CRLB约为其两倍。

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来源
《Advanced Wavefront Control: Methods, Devices, and Applications II》|2004年|P.127-138|共12页
会议地点 DenverCO(US)
作者
Jean. J. Dolne; Harold B. Schall;
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作者单位

The Boeing Company 6633 Canoga Ave MS WB63 PO Box 7922 Canoga Park CA 91309;

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会议组织
原文格式 PDF
正文语种 eng
中图分类波导光学与集成光学;
关键词
cramer-rao lower bound; fisher information; phase diversity; gaussian noise; poisson noise; efficient estimator; zernike polynomials; objective function; wavefront aberration; imaging;

机译：克拉默-下界;费舍尔信息;相位分集;高斯噪声;泊松噪声;有效估计器;泽尔尼克多项式;目标函数;波前像差;成像;

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1. Cramer-Rao bound and phase-diversity blind deconvolution performance versus diversity polynomials [J] . Jean J. Dolne, Harold B. Schall Applied Optics . 2005,第29期

机译：Cramer-Rao界和相分集盲反卷积性能与分集多项式的关系
2. Cramer-Rao bound and phase-diversity blind deconvolution performance versus diversity polynomials [J] . Jean J. Dolne, Harold B. Schall Applied optics . 2005,第29期

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4. Information Theoretic Bounds for Determining Optimum Aberration Strengths for Various Diversity Polynomials and Noise Statistics for Phase Diversity [C] . Jean. J. Dolne, Harold B. Schall Unconventional Imaging . 2005

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Information Theoretic Bounds of Phase Diversity for Diversity Polynomials and Noise Statistics

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