一种新的GNSS相对定位解算模型
New Mathematical Model for GNSS Relative Positioning Resolving

摘要： 为克服传统模型在全球导航卫星系统(GNSS)相对定位解算中存在的不足,提出了一种新的解算模型.与传统的一阶泰勒展开式不同,该模型利用参考站坐标事先已知,可使最小二乘解算过程中系数矩阵保持不变,从而能够清晰地描述最小二乘解算的收敛过程,有利于定位结果的误差分析和提高模糊度函数法等坐标域搜索方法的效率.实验结果显示,新模型与传统的一阶泰勒展开式的定位精度一致,验证了模型的有效性和可靠性,可以在相对定位解算中代替一阶泰勒展开式使用.
Abstract: In order to overcome the problem of the traditional model, a new model was proposed for relative positioning resolving of global navigation satellite system (GNSS). With the coordinates of reference station known in advance, this model is different from the traditional model that its coefficient matrix remains unchanged in resolving, so it is convenient to describe the converging process of the least squares and benefit for error analysis and improving search efficiency in coordinate domain, and this model has certain application potentiality. The experimental results show that the proposed model has the same position accuracy as the traditional model, i.e., the first-order Taylor series expansion, to verify its validity and reliability, so it can be used to replace the traditional model in relative positioning