Indonesian Journal of Electrical Engineering and Computer Science
Vol 11, No 12: December 2013

Simplified Gauss Hermite Filter Based on Sparse Grid Gauss Hermite Quadrature

Gao Fu Quan (Beijing Computer Technology and Application)
Chen Li Rong (Beijing Computer Technology and Application)
Ding Chuan Hong (Beijing Computer Technology and Application)
Liu Jian Feng (Beijing Computer Technology and Application)



Article Info

Publish Date
01 Dec 2013

Abstract

In order to improve estimation accuracy of nonliear system with linear measurement model, simplifed gauss hermite filter based on sparse grid gauss hermite quadrature (SGHF) is proposed. Comparing to conventional Gauss-Hermite filter (GHF) based on tensor product gauss quadrature rule, simplified SGHF not only maintains GHF's advantage of precission controllable, high estimation accuracy, but also relieves the curse of dimension problem by reduce the number of gaussian intrgration points to the number of sigma points that scaled unscented transform uses. Theoretical analysis and experimental results show that estimation base on new filter performs significantly beter than extended kalman filter (EKF), and slightly better than unscented kalman filter (UKF) on estimation accuracy and convergence speed, and computational burden is significantly reduced comparing with traditional GHKF. DOI: http://dx.doi.org/10.11591/telkomnika.v11i12.3693

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