Algebraic Solution for Linear Array-Based 3D Localization Without Deployment Limitations

IF 3.2 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC
Chengyu Li;Beichuan Tang;Yanbing Yang;Liangyin Chen;Yimao Sun
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引用次数: 0

Abstract

Localizing a three-dimensional (3D) source using linear arrays (LAs) is a promising new localization technology. Existing solutions are either designed for specific LA deployments, are computationally intensive, or rely on iterative methods that do not guarantee convergence. This paper presents a novel algebraic solution algorithm for 3D source localization using space angle (SA) measurements from LAs. We propose a new formulation of the SA measurement equation, which leads to a constrained weighted least squares (CWLS) problem. Solving it by Lagrangian multipliers, the optimal estimation is obtained with an error correction. The solution does not require specific arrangement and placement of LAs and effectively balances accuracy with computational efficiency. We analyze the performance and complexity of the proposed solution, demonstrating its ability to achieve the Cramér-Rao Lower Bound (CRLB) in the small error region under Gaussian noise with a low computational load. Simulations validate the analysis and confirm the superiority of the proposed solution compared to existing ones.
无部署限制的线性阵列三维定位的代数解
利用线性阵列对三维光源进行定位是一种很有前途的定位新技术。现有的解决方案要么是为特定的LA部署而设计的,要么是计算密集型的,要么依赖于不能保证收敛的迭代方法。本文提出了一种利用激光的空间角(SA)测量进行三维光源定位的新代数求解算法。我们提出了一种新的SA测量方程的公式,它导致了一个约束加权最小二乘(CWLS)问题。用拉格朗日乘子法求解,得到了最优估计,并进行了误差修正。该解决方案不需要特定的LAs安排和放置,并且有效地平衡了准确性和计算效率。我们分析了该方法的性能和复杂度,证明了该方法能够在高斯噪声下以较低的计算量在小误差区域内实现cram - rao下界(CRLB)。仿真验证了分析结果,并证实了所提方案相对于现有方案的优越性。
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来源期刊
IEEE Signal Processing Letters
IEEE Signal Processing Letters 工程技术-工程:电子与电气
CiteScore
7.40
自引率
12.80%
发文量
339
审稿时长
2.8 months
期刊介绍: The IEEE Signal Processing Letters is a monthly, archival publication designed to provide rapid dissemination of original, cutting-edge ideas and timely, significant contributions in signal, image, speech, language and audio processing. Papers published in the Letters can be presented within one year of their appearance in signal processing conferences such as ICASSP, GlobalSIP and ICIP, and also in several workshop organized by the Signal Processing Society.
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