Block Majorization–Minimization for Dynamic Network Localization From Asynchronous TOA/FOA Measurements

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Abstract
This letter addresses joint localization of 3D mobile networks with asynchronous clocks, where both relative distance and relative velocity measurements are used. Clock offsets and drifts are explicitly modeled, and an anchor-based compensation term is introduced to fully exploit anchor information and resolve translation ambiguity. A block majorization–minimization algorithm, termed vBMM, is proposed to jointly estimate node positions and clock parameters. Simulation results show that vBMM achieves position accuracy close to the Cramér–Rao lower bound and remains stable under different clock conditions. Compared with the state-of-the-art algorithm, vBMM achieves higher localization accuracy when clock asynchrony is significant and maintains robustness across clock conditions and measurement noise levels.

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