一种改进的距离差定位算法

针对近似平面布局的距离差测量定位系统,提出了一种改进SX(sphericalintersection)定位算法。该算法首先求解目标的高度,避免了方程系数矩阵病态,因而在算法量相当的情况下,可获得较好的目标定位精度。通过加权最小二乘估计来有效地利用系统的冗余信息。分析了它的定位性能并给出了加权估计的权矩阵近似公式,同现有的定位方法以及克拉美 罗下限(CRLB)进行了仿真比较。

Modified algorithm of location from range-difference measurements

A modified SX (spherical intersection) method is proposed for the target localization frogm rane-difference measurements when sensors are arranged in an approximate plane. This algorithm, which first solves target's altitude and avoids ill-conditioned system of equation, can improve the location accuracy with the same operating complexity. It also makes use of system's redundant information effectively by weighted least squares estimators.Its performance is compared with that of the existing techniques of spherical intersection, quadratic-correction least squares estimators, and the Cramer-Rho lower bound. Numerical studies demonstrate that the proposed algorithm is simple and effective.