吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (6): 1367-1374.

• • 上一篇    下一篇

Fisher信息在噪声估计精度分析中的应用

潘铭樱, 冯象初   

  1. 西安电子科技大学 数学与统计学院, 西安 710126
  • 收稿日期:2022-11-29 出版日期:2023-11-26 发布日期:2023-11-26
  • 通讯作者: 冯象初 E-mail:xcfeng@mail.xidian.edu.cn

Application of Fisher Information in Noise Estimation Accuracy Analysis

PAN Mingying, FENG Xiangchu   

  1. School of Mathematics and Statistics, Xidian University, Xi’an 710126, China
  • Received:2022-11-29 Online:2023-11-26 Published:2023-11-26

摘要: 采用Fisher信息以及相关的渐近正态性, 分析基于极大似然方程估计的广义噪声模型的参数精度. 理论分析结果表明, 对于标准像素图像,用极大似然方程估计得到的加性噪声的参数误差大于信号相关噪声参数的误差; 而对于归一化后的图像, 参数的精度结果刚好相反. 实验证明了理论分析的正确性.

关键词: 参数精度, 极大似然方程, Fisher信息, 渐近正态性

Abstract: We analysed  the parametric accuracy of the generalized noise model estimated based on the maximum likelihood equation by using Fisher information and the associated asymptotic normality. The theoretical analysis results show that for standard pixel images, the parameter error of the additive noise estimated by using the maximum likelihood equation is larger than the error of signal-dependent noise parameter, while for the normalized images, the accuracy of the parameters is exactly the opposite. The experiments prove the correctness  of the theoretical analysis.

Key words: parametric accuracy, maximum likelihood equation, Fisher information, asymptotic normality

中图分类号: 

  • TP391