Parameterized TDOA: Instantaneous TDOA Estimation and Localization for Mobile Targets in a Time-Division Broadcast Positioning System

• DOI: 10.48550/arxiv.2410.23695
• Publication Date: 2024-10-31
• Authors: Cheng Tu; Xiaowei Cui; Gang Liu; Sihao Zhao; Mingquan Lu
• Keywords: FDOA

Localization of mobile targets is a fundamental problem across various domains. One-way ranging-based downlink localization has gained significant attention due to its ability support an unlimited number and enable autonomous navigation by performing at the target side. Time-difference-of-arrival (TDOA)-based methods are particularly advantageous as they obviate need for target-anchor synchronization, unlike time-of-arrival (TOA)-based approaches. However, existing TDOA estimation inherently rely on quasi-static assumption (QSA), which assumes that remain stationary during measurement period, thereby limiting their applicability in dynamic environments. In this paper, we propose novel instantaneous method environments, termed Parameterized (P-TDOA). We first characterize nonlinear, time-varying measurements using polynomial models construct system linear equations model parameters through dedicated transformations, employing successive time difference strategy (STDS). Subsequently, solve with weighted least squares (WLS) solution, obtaining estimates. Furthermore, develop approach leverages estimates from multiple anchor pairs same instant. Theoretical analysis shows our proposed can Cramer-Rao lower bound (CRLB) concurrent TOA scenarios, despite actual being obtained sequentially. Extensive numerical simulations validate theoretical demonstrate effectiveness method, highlighting superiority over state-of-the-art approaches scenarios.