RIEMANN FUNCTION-APPROACH TO UNBIASED FILTERING AND PREDICTION

被引:1
作者
ANH, VV
SPENCER, NM
机构
[1] School of Mathematics, Queensland University of Technology, Brisbane, QLD, 4001
关键词
D O I
10.1006/jmaa.1995.1162
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies the relationship between the covariance function of a time-dependent ARMA process and the Green's function of a second-order self-adjoint linear differential equation based on the concept of a Riemann function. The result is used to obtain a closed-form solution to the filtering and prediction of signals embedded in a time-dependent ARMA noise process. (C) 1995 Academic Press, Inc.
引用
收藏
页码:96 / 116
页数:21
相关论文
共 13 条
[1]  
ABDRABBO NA, 1967, J ROY STAT SOC B, V29, P570
[2]  
ANDERSON BDO, 1983, STOCHASTIC PROCESS A, V15, P133
[3]  
Caines P. E., 1988, LINEAR STOCHASTIC SY
[4]   ON THE RELATION BETWEEN GREEN FUNCTIONS AND COVARIANCES OF CERTAIN STOCHASTIC PROCESSES AND ITS APPLICATION TO UNBIASED LINEAR PREDICTION [J].
DOLPH, CL ;
WOODBURY, MA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 72 (MAY) :519-550
[5]  
Dym H., 1976, PROBABILITY MATH STA
[6]  
Grenander U., 1981, ABSTRACT INFERENCE
[7]  
Kolmogoroff A., 1941, IZV MATH+, V5, P3
[8]  
KREIN MG, 1954, DOKL AKAD NAUK SSSR+, V94, P13
[9]  
Laning JH., 1956, RANDOM PROCESSES AUT
[10]  
Rao M.M., 1985, HDB STAT 5 TIME SERI, V5, P279