Direct Position Determination using Distributed Unfold Coprime Arrays with Unknown Mutual Coupling: based on Reduced-Dimension Search

Abstract

The direct position determination (DPD) approach has higher localization accuracy and better robustness than the classical two-step approach when localizing multiple sources with distributed antenna arrays. This paper focuses on the DPD algorithm using multiple Unfolded Coprime Arrays (UCAs) with unknown mutual coupling. To reduce the adverse effects of the mutual coupling, we first expand the unfolded coprime arrays into the DPD scenario. Subsequently, we introduce the HD-DPD-Capon algorithm, which fuses all inverse covariance matrices of distributed arrays, simultaneously searching for multiple unknown mutual coupling coefficients and source positions. Finally, in advance of the reduced-dimension search, we propose the RMCD-ICF algorithm, which only needs to search the two-dimension position, to reduce the high computational complexity of the HD-DPD-Capon algorithm caused by the high-dimensional search. Simulation results verify the superiority of the proposed algorithm on computation complexity and localization accuracy.