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Optimal Filtering Algorithm for Stochastic 2-D FMM Ⅱ with Multiplicative Noise
引用本文:CHUDongsheng LIANGMeng SHIXin ZHANGLing. Optimal Filtering Algorithm for Stochastic 2-D FMM Ⅱ with Multiplicative Noise[J]. 中国海洋大学学报(英文版), 2004, 3(1): 106-110. DOI: 10.1007/s11802-004-0018-7
作者姓名:CHUDongsheng LIANGMeng SHIXin ZHANGLing
作者单位:CHU Dongsheng *,LIANG Meng,SHI Xin,ZHANG Ling Engineering College,Ocean University of China,Qingdao 266003,P..R.China
摘    要:
1 Introduction Inrecentyearstherehasbeengrowingresearchin terestinthetwo dimensional (2 D )systemtheory .The 2 Dsystemsmayfindapplicationsinareassuchasmarineseismicdataprocessingandimageprocessing .Althoughmoreandmorevaluableresultshavebeengained ,mos…

关 键 词:optimal filtering  stochastic two-dimensional Fornasini-Marchesini's Model Ⅱ  multiplicative noise  linear minimum-variance
收稿时间:2003-06-17
修稿时间:2004-02-02

Optimal filtering algorithm for stochastic 2-D FMM II with multiplicative noise
Chu Dongsheng,Liang Meng,Shi Xin,Zhang Ling. Optimal filtering algorithm for stochastic 2-D FMM II with multiplicative noise[J]. Journal of Ocean University of China, 2004, 3(1): 106-110. DOI: 10.1007/s11802-004-0018-7
Authors:Chu Dongsheng  Liang Meng  Shi Xin  Zhang Ling
Affiliation:(1) Engineering College, Ocean University of China, 266003 Qingdao, P.R.China
Abstract:
A stochastic two-dimensional Fornasini-Marchesini’s Model II (2-D FMM II) with multiplicative noise is given, and a filtering algorithm for this model, which is optimal in the sense of linear minimum-variance, is developed. The stochastic 2-D FMM II with multiplicative noise can be reduced to a 1-D model, and the proposed optimal filtering algorithm for the stochastic 2-D FMM II with multiplicative noise is obtained by using the state estimation theory of 1-D systems. An example is given to illustrate the validity of this algorithm.
Keywords:optimal filtering  stochastic two-dimensional Fornasini-Marchesini’  s Model II  multiplicative noise  linear minimum-variance
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