A GENERAL RECURSIVE DISCRETE-TIME FILTER

被引:14
作者
ELLIOTT, RJ
机构
关键词
RECURSIVE FILTER; UNNORMALIZED DENSITY; DISCRETE TIME; GIRSANOV THEOREM; FILTERING;
D O I
10.2307/3214767
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A reference probability is explicitly constructed under which the signal and observation processes are independent. A simple. explicit recursive form is then obtained for the conditional density of the signal given the observations. Both nonlinear and linear filters are considered, as well as two different information patterns, AMS 1991 CLASSIFICATION: PRIMARY 93 E11 SECONDARY 60 G35
引用
收藏
页码:575 / 588
页数:14
相关论文
共 9 条
[1]  
ANDERSON BDO, 1968, I ENG AUSTRAL ELEC E, P200
[2]  
BREMAUD PM, 1976, DISCRETE TIME STOC 2
[3]  
CAMPILLO F, 1992, MLE PARTIALLY OBSERV
[4]   ON MEASURE TRANSFORMATIONS FOR COMBINED FILTERING AND PARAMETER-ESTIMATION IN DISCRETE-TIME [J].
DIMASI, GB ;
RUNGGALDIER, WJ .
SYSTEMS & CONTROL LETTERS, 1982, 2 (01) :57-62
[5]  
ELLIOTT RJ, 1992, EXACT ADAPTIVE FILTE
[6]  
HO YC, 1968, IEEE T AUTOMAT CONTR, V1, P333
[7]  
Jazwinski A. H., 2007, STOCHASTIC PROCESSES
[8]  
MCGARTHY TP, 1974, STOCHASTIC SYSTEMS S
[9]  
STETTNER L, 1989, LECTURE NOTES CONTRO, V126