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Frontiers of Electrical and Electronic Engineering

ISSN 2095-2732

ISSN 2095-2740(Online)

CN 10-1028/TM

Front Elect Electr Eng    2012, Vol. 7 Issue (3) : 318-325    https://doi.org/10.1007/s11460-012-0202-2
RESEARCH ARTICLE
Time-varying optimal distributed fusion white noise deconvolution estimator
Xiaojun SUN(), Guangming YAN
College of Electrical Engineering, Heilongjiang University, Harbin 150080, China
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Abstract

White noise deconvolution has a wide range of applications including oil seismic exploration, communication, signal processing, and state estimation. Using the Kalman filtering method, the time-varying optimal distributed fusion white noise deconvolution estimator is presented for the multisensor linear discrete time-varying systems. It is derived from the centralized fusion white noise deconvolution estimator so that it is identical to the centralized fuser, i.e., it has the global optimality. It is superior to the existing distributed fusion white noise estimators in the optimality and the complexity of computation. A Monte Carlo simulation for the Bernoulli-Gaussian input white noise shows the effectiveness of the proposed results.

Keywords multisensor information fusion      distributed fusion      white noise deconvolution      global optimality      Kalman filtering     
Corresponding Author(s): SUN Xiaojun,Email:sxj@hlju.edu.cn   
Issue Date: 05 September 2012
 Cite this article:   
Xiaojun SUN,Guangming YAN. Time-varying optimal distributed fusion white noise deconvolution estimator[J]. Front Elect Electr Eng, 2012, 7(3): 318-325.
 URL:  
https://academic.hep.com.cn/fee/EN/10.1007/s11460-012-0202-2
https://academic.hep.com.cn/fee/EN/Y2012/V7/I3/318
Fig.1  Algorithm flow diagram and fusion structure of the optimal distributed fusion white noise deconvolution estimators
Fig.2  and local and optimal distributed fusion white noise deconvolution smoothers
Fig.3  Comparison of curves of accumulated error squares for local and distributed fusion white noise smoothers
Fig.4  Comparison of mean square error (MSE) curves for local and fused white noise smoothers
t50100150200
w^d(t|t+3)-0.0730840.345999-0.154367-0.067506
w^c(t|t+3)-0.0730850.349009-0.154408-0.058246
Tab.1  Comparison of values for centralized and distributed fusion white noise smoothers
t50100150200
Pw(1)(t|t+3)0.0621550.1562960.0980470.153817
Pw(2)(t|t+3)0.0377760.0598940.0949030.058704
Pw(3)(t|t+3)0.0378890.0850250.2068250.084670
Pwd(t|t+3)0.0156440.0372030.0548580.036892
Pwc(t|t+3)0.0156440.0370480.0548620.036646
Tab.2  Comparison of variances for local, centralized, and distributed fusion white noise smoothers
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[1] Xiaojun SUN, Zili DENG. Distributed fusion white noise deconvolution estimators[J]. Front Elect Electr Eng Chin, 2009, 4(3): 270-277.
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