A Novel 3-D Localization Scheme Using 1-D Angle Measurements
| Autor: | Jifeng Zou, Yimao Sun, Qun Wan |
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| Rok vydání: | 2020 |
| Předmět: |
Scheme (programming language)
Semidefinite programming Optimization problem Computer science 020302 automobile design & engineering 020206 networking & telecommunications 02 engineering and technology Space (mathematics) Upper and lower bounds Linear array 0203 mechanical engineering Angle of arrival 0202 electrical engineering electronic engineering information engineering Electrical and Electronic Engineering Instrumentation computer Algorithm Cramér–Rao bound computer.programming_language |
| Zdroj: | IEEE Sensors Letters. 4:1-4 |
| ISSN: | 2475-1472 |
| DOI: | 10.1109/lsens.2020.2992704 |
| Popis: | The traditional 3-D localization methods based on angle of arrival (AOA) using 2-D arrays has been well studied over the past few decades. However, in some situations, the sensors are only allowed to equip linear arrays for the space limitation. In those cases, the traditional methods could not locate the unknown source precisely in the 3-D space. This letter proposes a novel 3-D localization technique using 1-D AOAs of the source. This technique gives the measurement model between the 3-D location of the source where the 1-D AOAs measured by the linear array at each sensor. The localization problem is formulated as a constrained weighted least-squares optimization problem. The semidefinite programming method is applied to solve this problem after relaxing the nonconvex constraints by semidefinite relaxing technology. To improve the performance further, a Gaussian–Newton iteration is implemented for the maximum likelihood estimator. The Cramer–Rao lower bound (CRLB) is analyzed for evaluating the performance. Simulation results show that the performance of the proposed method reaches the CRLB. |
| Databáze: | OpenAIRE |
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