论文标题
泊松噪声的ptychography中的CRLB和最大似然
The CRLB and Maximum likelihood in ptychography with Poisson noise
论文作者
论文摘要
我们通过分析CramérRao下限来通过嘈杂的数据来研究Ptychography的性能。 ptychography的下限是为平面波和结构化照明而得出的，并计算了数值。讨论了泊松噪声对Ptychography重建的影响。计算结果表明，如果估计器是公正的，则泊松噪声的最小差异主要取决于对象的照明功率和传输函数。进行蒙特卡洛分析以验证不同光子数量的计算结果。在蒙特卡洛分析中，研究了最大似然法的性能和基于幅度的成本函数最小化的方法。
We investigate the performance of ptychography with noisy data by analyzing the Cramér Rao Lower Bound. The lower bound of ptychography is derived and numerically computed for both plane wave and structured illumination. The influence of Poisson noise on the ptychography reconstruction is discussed. The computation result shows that, if the estimator is unbiased, the minimum variance for Poisson noise is mostly determined by the illumination power and the transmission function of the object. Monte Carlo analysis is conducted to validate our calculation results for different photon numbers. The performance of the maximum likelihood method and the approach of amplitude-based cost function minimization is studied in the Monte Carlo analysis also.
