Title
Nonlinear Gaussian Smoothers With Colored Measurement Noise
Abstract
This paper is concerned with the Gaussian approximation (GA) smoothing estimation for the nonlinear system with the colored measurement noise modeled as an autoregressive process. Firstly, based on measurement differencing scheme, designing the GA smoothers with the colored measurement noise is transformed into deriving the GA ones with delayed state. Secondly, the novel fixed- interval, fixed-point and fixed-lag GA smoothers are proposed via the recursive operation of analytical computation and nonlinear integrals, as the general and unifying frameworks: they are applicable for both linear and nonlinear systems; by setting the noise correlation parameter as zero, they can automatically reduce to the standard GA smoothers with uncorrelated white noises; many implementations of the GA frameworks can be developed through utilizing different numerical technologies for computing such nonlinear integrals, e.g., the cubature rule based cubature Kalman smoothers (CKSs) with the colored measurement noise. Finally, the superior performance in estimation accuracy and computation efficiency of the proposed smoothing methods is demonstrated with a multi-sensor target tracking example.
Year
DOI
Venue
2015
10.1109/TAC.2014.2337991
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Noise measurement,Noise,Smoothing methods,Estimation,Standards,Nonlinear systems,Kalman filters
Autoregressive model,Rule-based system,Colored,Mathematical optimization,Nonlinear system,Kalman filter,Smoothing,Gaussian,Mathematics,Computation
Journal
Volume
Issue
ISSN
60
3
0018-9286
Citations 
PageRank 
References 
8
0.52
13
Authors
5
Name
Order
Citations
PageRank
Xiaoxu Wang118814.66
Yan Liang215814.45
Quan Pan352140.66
Chunhui Zhao49726.94
Feng Yang5184.42