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Extended Kalman Filtering on Stiefel Manifolds

Applications 2025-11-05 v1 Differential Geometry Computation

Abstract

A generalisation of the extended Kalman filter for Stiefel manifold-valued measurements is presented. We provide simulations on the 2-sphere and the space of orthogonal 4-by-2 matrices which show significant improvement of the Extended Kalman Filter compared to only relying on raw measurements.

Keywords

Cite

@article{arxiv.2511.02682,
  title  = {Extended Kalman Filtering on Stiefel Manifolds},
  author = {Jordi-Lluís Figueras and Aron Persson and Lauri Viitasaari},
  journal= {arXiv preprint arXiv:2511.02682},
  year   = {2025}
}