Title
Sparse Kalman Filter
Abstract
In this work, a sparse Kalman filter (SKF) exploring the signal sparse property is developed to track unknown time-varying signals. To derive SKF, the measurement update in KF is reformulated into a convex optimization problem first, and then a regularization term l(1)-norm on parameters of interest is introduced to yield sparse estimates. Coupled the reformulated measurement update with prediction step in KF, the SKF is achieved. The SKF method can be straightforwardly implemented in the standard KF framework, in which it does not require pseudo measurements. Numerical studies demonstrate the superior performance of SKF compared to other reconstruction schemes.
Year
Venue
Keywords
2015
2015 IEEE CHINA SUMMIT & INTERNATIONAL CONFERENCE ON SIGNAL AND INFORMATION PROCESSING
sparse Kalman filter (SKF), convex optimization
Field
DocType
Citations 
Extended Kalman filter,Control theory,Algorithm,Kalman filter,Moving horizon estimation,Convex function,Regularization (mathematics),Adaptive filter,Convex optimization,Mathematics
Conference
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Hongqing Liu101.35
Yong Li296.31
Yi Zhou300.34
Trieu-Kien Truong438259.00