English

Design of Efficient Point-Mass Filter with Application in Terrain Aided Navigation

Systems and Control 2024-03-21 v3 Systems and Control Signal Processing

Abstract

This paper deals with state estimation of stochastic models with linear state dynamics, continuous or discrete in time. The emphasis is laid on a numerical solution to the state prediction by the time-update step of the grid-point-based point-mass filter (PMF), which is the most computationally demanding part of the PMF algorithm. A novel efficient PMF (ePMF) estimator, unifying continuous and discrete, approaches is proposed, designed, and discussed. By numerical illustrations, it is shown, that the proposed ePMF can lead to a time complexity reduction that exceeds 99.9% without compromising accuracy. The MATLAB code of the ePMF is released with this paper.

Keywords

Cite

@article{arxiv.2303.05100,
  title  = {Design of Efficient Point-Mass Filter with Application in Terrain Aided Navigation},
  author = {J. Matoušek and J. Duník and M. Brandner},
  journal= {arXiv preprint arXiv:2303.05100},
  year   = {2024}
}

Comments

Pulibshed in proccedings of FUSION 2023. PLEASE cite the published version! The code is also now available at GitHub: https://github.com/IDM-UWB/efficient-PMF

R2 v1 2026-06-28T09:08:49.920Z