English

Positioning Using LEO Satellite Communication Signals Under Orbital Errors

Signal Processing 2025-11-11 v1

Abstract

Low Earth orbit (LEO) satellites offer a promising alternative to global navigation satellite systems for precise positioning; however, their relatively low altitudes make them more susceptible to orbital perturbations, which in turn degrade positioning accuracy. In this work, we study LEO-based positioning under orbital errors within a signal-of-opportunity framework. First, we introduce a LEO orbit model that accounts for Earth's non-sphericity and derive a wideband communication model that captures fast- and slow-time Doppler effects and multipath propagation. Subsequently, we perform a misspecified Cram\'er-Rao bound (MCRB) analysis to evaluate the impact of orbital errors on positioning performance. Then, we propose a two-stage positioning method starting with a (i) MCRB-based weighted orbit calibration, followed by (ii) least-squares user positioning using the corrected orbit. The MCRB analysis indicates that orbital errors can induce kilometer-level position biases. Extensive simulations show that the proposed estimator can considerably enhance the positioning accuracy relative to the orbit-mismatched baseline, yielding errors on the order of a few meters.

Keywords

Cite

@article{arxiv.2511.06060,
  title  = {Positioning Using LEO Satellite Communication Signals Under Orbital Errors},
  author = {Jie Ma and Pinjun Zheng and Xing Liu and Yuchen Zhang and Ali A. Nasir and Tareq Y. Al-Naffouri},
  journal= {arXiv preprint arXiv:2511.06060},
  year   = {2025}
}
R2 v1 2026-07-01T07:27:46.255Z