We consider the problem of spatial signal design for multipath-assisted mmWave positioning under limited prior knowledge on the user's location and clock bias. We propose an optimal robust design and, based on the low-dimensional precoder structure under perfect prior knowledge, a codebook-based heuristic design with optimized beam power allocation. Through numerical results, we characterize different position-error-bound (PEB) regimes with respect to clock bias uncertainty and show that the proposed low-complexity codebook-based designs outperform the conventional directional beam codebook and achieve near-optimal PEB performance for both analog and digital architectures.
@article{arxiv.2105.07664,
title = {Optimal Spatial Signal Design for mmWave Positioning under Imperfect Synchronization},
author = {Musa Furkan Keskin and Fan Jiang and Florent Munier and Gonzalo Seco-Granados and Henk Wymeersch},
journal= {arXiv preprint arXiv:2105.07664},
year = {2022}
}