3-D near field source localization using second order statistics

K. Abed-Meraim, Y. Hua
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引用次数: 48

Abstract

Passive localization of narrowband sources in the spherical coordinates (azimuth, elevation, and range) is considered. A new method which proceeds in two steps and uses only the second order statistics (SOS) of the observations collected from a centro-symmetric cross-array is introduced. The first step is a signal pre-processing which consists in the computation of some properly chosen spatial correlation sequences of the observed signal. The correlation coefficients are shown to be superimposed exponential sequences and their frequencies are nonlinear functions of azimuths, elevations and the ranges of the source signals. The second step consists in the estimation of the frequency components using the subspace rotation invariance (also known as ESPRIT and matrix pencils) technique. This method, however requires a correct parameter pairing (or eigenvalue association) to achieve a consistent estimation of the signal parameters. Several pairing techniques are considered. The source azimuths, elevations, and ranges are then calculated from the estimated frequency components. The effectiveness of the proposed method is illustrated by some numerical simulations.
基于二阶统计量的三维近场源定位
考虑了球面坐标(方位角、仰角和距离)下窄带源的被动定位。介绍了一种分两步进行的新方法,该方法只使用中心对称交叉阵列观测数据的二阶统计量(SOS)。第一步是信号预处理,包括计算一些适当选择的观测信号的空间相关序列。相关系数表现为叠加的指数序列,其频率是源信号方位角、高程和距离的非线性函数。第二步包括使用子空间旋转不变性(也称为ESPRIT和矩阵铅笔)技术估计频率分量。然而,这种方法需要正确的参数配对(或特征值关联)来实现对信号参数的一致估计。考虑了几种配对技术。然后根据估计的频率分量计算源的方位角、高度和范围。数值模拟结果表明了该方法的有效性。
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