卫星位置误差条件下基于约束Taylor级数迭代的地面目标定位理论性能分析
摘要
The satellite orbit perturbations would seriously degrade the geolocation precision for the static emitter on the earth's surface. The mathematical analysis frame used to derive the constrained Taylor-series 252 iteration formula and its theoretical geolocation performances are systematically presented in the presence of satellite orbit perturbations. For convenience, the time difference of arrival (TDOA) measurement is taken as an example, and the geolocation algorithms as well as the theoretical geolocation performance are deduced for three different situations. Additionally, the theoretical performances are compared with the Cramér-Rao bound (CRB) corresponding to the three situations stated above. And several quantitative conclusions are also drawn. The three cases include: (Ⅰ) neither satellite orbit perturbations nor calibration sources exist; (Ⅱ) satellite orbit perturbations exis and there are no calibration sources; (Ⅲ) both satellite orbit perturbations and calibration sources exist. Finally, some satellite TDOA geolocation scenarios are devised to verify the effectiveness of the geolocation algorithms and the performance analysis of this paper.