The calculating formulae, and experimental methods in error propagation analysis

被引:23
|
作者
Zhang, Jianfang [1 ]
机构
[1] Grad Univ Chinese Acad Sci, Dept Math, Beijing 100049, Peoples R China
基金
中国国家自然科学基金;
关键词
error propagation; experiment; moment-design; s-normal distribution; system;
D O I
10.1109/TR.2006.874920
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Error propagation is a basic problem in analysing uncertainty of reliable systems. The model of error propagation can be expressed as y = f (X + Z), where f is a system or propagatioin function, X is aft input vector of the system, Z I is an error vector of X, and. y is a response or an output of the system. The error propagation analysis is conducted mainly to calculate or estimate the mean and variance of y given Z distributed s-normally with zero means. In this paper, we first assume that f (X) is calculable, and can be expressed in Taylor-series expansion; and we introduce the exact formulae and some approximate formulae for calculating the mean and variance of y given Z being s-independent or s-dependent. Second, we discuss the moment-methods of estimation for the mean and variance of y by experimental design. These methods can also be used when y = f (X) is a calculable function that may not be differentiable. Third, we give an example for comparing the different methods of error propagation, and discuss some results and comments according to many examples examined. Fourth, we discuss the robustness and usability on the methods of error propagation analysis. Finally, we give several conclusions.
引用
收藏
页码:169 / 181
页数:13
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