Grid Support Adaptation for Point Mass Filter Based Terrain Referenced Navigation Using Mutual Information

2018 ◽  
Vol 18 (18) ◽  
pp. 7603-7610 ◽  
Author(s):  
Yong-Gonjong Park ◽  
Chan Gook Park
Keyword(s):  
Mutual Information ◽  
Point Mass ◽  
Mass Filter ◽  
Terrain Referenced Navigation

Grid Design for Efficient and Accurate Point Mass Filter-Based Terrain Referenced Navigation

2018 ◽  
Vol 18 (4) ◽  
pp. 1731-1738 ◽  
Author(s):  
Hyun Cheol Jeon ◽  
Woo Jung Park ◽  
Chan Gook Park
Keyword(s):  
Point Mass ◽  
Mass Filter ◽  
Terrain Referenced Navigation ◽  
Grid Design

scholarly journals Density Difference Grid Design in a Point-Mass Filter

Energies ◽  
2020 ◽  
Vol 13 (16) ◽  
pp. 4080
Author(s):  
Jakub Matoušek ◽  
Jindřich Duník ◽  
Ondřej Straka
Keyword(s):  
Numerical Study ◽  
The State ◽  
Point Mass ◽  
Density Difference ◽  
Conditional Density ◽  
Stochastic Dynamic ◽  
Mass Filter ◽  
Difference Grid ◽  
Grid Design ◽  
Stochastic Dynamic Systems

The paper deals with the Bayesian state estimation of nonlinear stochastic dynamic systems. The stress is laid on the point-mass filter, solving the Bayesian recursive relations for the state estimate conditional density computation using the deterministic grid-based numerical integration method. In particular, the grid design is discussed and the novel density difference grid is proposed. The proposed grid design covers such regions of the state-space where the conditional density is significantly spatially varying, by the dense grid. In other regions, a sparse grid is used to keep the computational complexity low. The proposed grid design is thoroughly discussed, analyzed, and illustrated in a numerical study.

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