A Weighted Inner Product Estimator in the Geometric Algebra of Euclidean 3-Space for Source Localization Using an EM Vector-sensor |
| |
Authors: | JIANG Jingfei ZHANG Jianqiu |
| |
Affiliation: | * Department of Electronic Engineering, Fudan University, Shanghai 200433, China |
| |
Abstract: | In this paper, the source localization by utilizing the measurements of a single electromagnetic (EM) vector-sensor is investigated in the framework of the geometric algebra of Euclidean 3-space. In order to describe the orthogonality among the electric and magnetic measurements, two multivectors of the geometric algebra of Euclidean 3-space (G3) are used to model the outputs of a spatially collocated EM vector-sensor. Two estimators for the wave propagation vector estimation are then formulated by the inner product between a vector and a bivector in the G3. Since the information used by the two estimators is different, a weighted inner product estimator is then proposed to fuse the two estimators together in the sense of the minimum mean square error (MMSE). Analytical results show that the statistical performances of the weighted inner product estimator are always better than its traditional cross product counterpart. The efficacy of the weighted inner product estimator and the correctness of the analytical predictions are demonstrated by simulation results. |
| |
Keywords: | cross product electromagnetic geometric algebra geometric algebra of Euclidean 3-space minimum mean square rule direction finding vector-sensor |
本文献已被 CNKI ScienceDirect 等数据库收录! |
| 点击此处可从《中国航空学报》浏览原始摘要信息 |
|
点击此处可从《中国航空学报》下载全文 |