Journal Article10.1109/tsp.2022.3163889
Three Dimensional Source Localization Using Arrival Angles from Linear Arrays: Analytical Investigation and Optimal Solution
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TL;DR: In this paper , an optimal solution for the 3D localization using one-dimensional (1-D) space angle (SA) measurements that has the appeal of involving linear arrays only is proposed.
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Abstract: Angle-based localization of a source at unique coordinates in the three-dimensional (3-D) space utilizes traditionally the two-dimensional (2-D) angle of arrival (AOA) measurements from planar arrays. This paper investigates the positioning performance and develops an optimal solution for the 3-D localization using one-dimensional (1-D) space angle (SA) measurements that has the appeal of involving linear arrays only. The localization performance by SA is less understood and the positioning algorithms from the literature are suboptimal and have restrictions on the altitudes and orientations of the linear array receivers. This paper establishes the basic concept of using SA for localization, and conducts analytical comparison of SA and AOA positionings by cross arrays, where the contrasts in the angle observation accuracy, the geometric dilution effect and overall localization performance are elaborated. A solution that can reach the Cramér-Rao Lower Bound performance under Gaussian noise is also proposed that does not have restriction on the placement of the linear array receivers. It consists of an initial solution by semidefinite relaxation and a refined solution by an algebraic estimator. Simulations validate the theoretical investigation and the algorithm performance.
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Citations
Three-Dimensional Source Localization Based on 1-D AOA Measurements: Low-Complexity and Effective Estimator
Yonghua Chen,Hua-nan Yu,Jie Li,Qisen Wang,Feiyue Ji,Fangjiong Chen +5 more
TL;DR: Two 1-D AOA-based source localization methods are proposed and a modified Levenberg–Marquardt (MLM) method is proposed, which focuses on designing a new selection strategy of the regularization parameter to realize a high convergence probability and localization accuracy.
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Robust Iterative Solution for Linear Array-Based 3-D Localization by Message Passing
Yimao Sun,Kang-Chi Ho,Yanbing Yang,Lei Zhang,Liangyin Chen +4 more
- 04 Jun 2023
TL;DR: In this paper , the authors reformulated the maxi-mum likelihood (ML) estimation of the 3D localization problem using the factor graph model, where an effective algorithm is designed through message passing.
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A Review of Linear Multilateration Techniques and Applications
Eric Widdison,David G. Long +1 more
TL;DR: This paper presents simple and consistent versions of TOA, TDOA, and AOA position equations with intuitive explanations for how those equations relate to the geometry of the localization problem to make it easier to implement these algorithms in a way that produces stable results.
4
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TL;DR: A novel initialization-free method for 3-D underwater acoustic localization under stratification effects is proposed. The method eliminates the need for initial guesses and grazing angles, and provides accurate localization estimates using a constrained weighted least squares problem.
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