4.6 Article

Optimal linear array orientation design for 3D direct position determination via semi-Definite relaxation *

Journal

SIGNAL PROCESSING
Volume 212, Issue -, Pages -

Publisher

ELSEVIER
DOI: 10.1016/j.sigpro.2023.109149

Keywords

Direct position determination (DPD); Convex optimization; Semi-definite programming (SDP); Semi-definite relaxation (SDR); Sensor placement

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This paper presents an optimization strategy for array orientations in a 3D direct position determination (DPD) system using uniform linear arrays (ULAs) to locate emitters. The E-optimality criterion is exploited to minimize the spectral norm of the Cramer-Rao lower bound (CRLB) and formulate the problem. The paper also proposes a semi-definite relaxation (SDR) solution for large-scale antenna array systems and validates its near-optimal localization performance through simulations.
This paper presents an optimization strategy for array orientations in a three-dimensional (3D) direct position determination (DPD) system. Specifically, we consider a scenario in which uniform linear arrays (ULAs) are used to locate emitters, and we seek to optimize the array orientations in terms of localization accuracy. The E-optimality criterion, which minimizes the spectral norm of the Cramer-Rao lower bound (CRLB), is exploited to formulate this problem. As the objective function is non-convex with bilinear struc-tures, we leverage semi-definite relaxation (SDR) to transform it into a convex semi-definite programming (SDP) problem by substituting the bilinear terms with a matrix variable. In addition, we tackle the array orientation configuration problem in the context of multi-emitter scenarios and develop an SDR solution for large-scale antenna array systems. Simulation results validate that the ULAs with array orientations designed by the proposed SDR-based method have near-optimal localization performance. & COPY; 2023 Elsevier B.V. All rights reserved.

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