Optimal Spatial Signal Design for mmWave Positioning Under Imperfect Synchronization
Musa Furkan Keskin, Fan Jiang, Florent Munier, Gonzalo Seco‐Granados, Henk Wymeersch
Abstract
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.