Closed-Form Algorithm for 3-D Single-Source Localization With Uniform Circular Array

2014 ◽  
Vol 13 ◽  
pp. 1096-1099 ◽  
Author(s):  
Tae-Jin Jung ◽  
KyunKyung Lee
Keyword(s):  
Closed Form ◽  
Source Localization ◽  
Single Source ◽  
Circular Array

Iterative Minimization Schemes for Solving the Single Source Localization Problem

2008 ◽  
Vol 19 (3) ◽  
pp. 1397-1416 ◽  
Author(s):  
Amir Beck ◽  
Marc Teboulle ◽  
Zahar Chikishev
Keyword(s):  
Source Localization ◽  
Single Source ◽  
Localization Problem ◽  
Iterative Minimization

scholarly journals Conditional and Unconditional Deterministic Bounds on the MSE of the Non-Uniform Linear Co-centered Orthogonal Loop and Dipole Array

2021 ◽  
Vol 1 (1) ◽  
pp. 13-20
Author(s):  
Tao Bao ◽  
Mohammed Nabil EL KORSO
Keyword(s):  
Theoretical Analysis ◽  
Closed Form ◽  
Mean Square Error ◽  
Source Localization ◽  
Threshold Region ◽  
Observation Model ◽  
Mean Square ◽  
Numerical Examples ◽  
Cramer Rao Bound ◽  
Deterministic Bounds

The co-centered orthogonal loop and dipole (COLD) array exhibits some interesting properties, which makes it ubiquitous in the context of polarized source localization. In the literature, one can find a plethora of estimation schemes adapted to the COLD array. Nevertheless, their ultimate performance in terms the so-called threshold region of mean square error (MSE), have not been fully investigated. In order to fill this lack, we focus, in this paper, on conditional and unconditional bounds that are tighter than the well known Cramér-Rao Bound (CRB). More precisely, we give some closed form expressions of the McAulay-Hofstetter, the Hammersley-Chapman-Robbins, the McAulaySeidman bounds and the recent Todros-Tabrikian bound, for both the conditional and unconditional observation model. Finally, numerical examples are provided to corroborate the theoretical analysis and to reveal a number of insightful properties.

Phase-Based 3-D Source Localization Using 1-b Quantized Measurements Under Uniform Circular Array

2020 ◽  
Vol 4 (3) ◽  
pp. 1-4
Author(s):  
Xin Chen ◽  
Zhen Liu ◽  
Tianpeng Liu ◽  
Bo Peng ◽  
Xiaolong Su ◽  
...  
Keyword(s):  
Source Localization ◽  
Circular Array

scholarly journals A Sparse Representation Method for Coherent Sources Angle Estimation with Uniform Circular Array

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Xiaolong Su ◽  
Zhen Liu ◽  
Tianpeng Liu ◽  
Bo Peng ◽  
Xin Chen ◽  
...  
Keyword(s):  
Objective Function ◽  
Sparse Representation ◽  
Source Localization ◽  
Doa Estimation ◽  
Spatial Dimension ◽  
Spatial Spectrum ◽  
Circular Array ◽  
Coherent Sources ◽  
Representation Method ◽  
Coherent Source

Coherent source localization is a common problem in signal processing. In this paper, a sparse representation method is considered to deal with two-dimensional (2D) direction of arrival (DOA) estimation for coherent sources with a uniform circular array (UCA). Considering that objective function requires sparsity in the spatial dimension but does not require sparsity in time, singular value decomposition (SVD) is employed to reduce computational complexity and ℓ2 norm is utilized to renew objective function. After the new objective function is constructed to evaluate residual and sparsity, a second-order cone (SOC) programming is employed to solve convex optimization problem and obtain 2D spatial spectrum. Simulations show that the proposed method can deal with the case of coherent source localization, which has higher resolution than 2D MUSIC method and does not need to estimate the number of coherent sources in advance.

scholarly journals Research and Analysis on the Localization of a 3-D Single Source in Lossy Medium Using Uniform Circular Array

Sensors ◽  
2017 ◽  
Vol 17 (6) ◽  
pp. 1274 ◽  
Author(s):  
Bing Xue ◽  
Xiaodong Qu ◽  
Guangyou Fang ◽  
Yicai Ji
Keyword(s):  
Single Source ◽  
Circular Array ◽  
Lossy Medium
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