Noise: a nonstandard analysis.

被引：113

作者：

Fliess, M ^{[1
]}

机构：

[1] Ecole Polytech, CNRS, UMR 7161, Project ALIEN,INRIA Futurs,Equipe MAX,LIX, F-91128 Palaiseau, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 342卷 / 10期

关键词：

D O I：

10.1016/j.crma.2006.02.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Noise: a nonstandard analysis. Thanks to the nonstandard formalization of fast oscillating functions, due to P. Cartier and Y Perrin, an appropriate mathematical framework is derived for new non-asymptotic estimation techniques, which do not necessitate any statistical analysis of the noise corrupting any sensor. Various applications are deduced for multiplicative noises, for the length of the parametric estimation windows, and for burst errors.

引用

页码：797 / 802

页数：6

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