遗传算法在GPS快速定位病态方程解算中的应用

基金项目: 国家863计划资助项目(2006AA06Z355)

详细信息

Application of Genetic Algorithm to Solve Ill-Conditioned Equations for GPS Rapid Positioning

¹College of Resources and Safety Engineering,China University of Mining and Technology,D11 Xueyuan Road,Beijing 100083,China²School of Civil Engineering,Shandong Jianzhu University,Fengming Road,Jinan 250101,China

Funds: 国家863计划资助项目(2006AA06Z355)

摘要: 将GPS病态方程求解问题转化为一个函数优化问题,应用遗传算法求解,避免了法方程的求逆运算,从而可以得到参数的近似最优解。探讨了利用遗传算法得到模糊度浮点解、应用有偏估计的均方误差矩阵确定模糊度的搜索范围、结合Lambda方法快速确定整周模糊度的方法。
- GPS快速定位 /
- 病态方程 /
- 整周模糊度 /
- 遗传算法
Abstract: The normal equations of GPS single frequency rapid positioning are seriously ill-conditioned because of a few observational epochs,which causes the inversion of coefficient matrix of normal equations unstable.We converted the ill-conditioned normal equations of GPS rapid positioning into a function optimization problem,and used genetic algorithm to calculate parameters solutions,which avoided the inversion of coefficient matrix of normal equations and could approximately acquire best solutions.A method was developed,which use MSEM(mean square error matrix) matrix of biased estimation to determine the ambiguity search space and use GA(enetic algorithm) method combining with Lambda method to fix integer ambiguities.Experiment shows that the method can correctly fix integer ambiguities with a few several epochs.
- GPS rapid positioning /
- ill-conditioned equations /
- ambiguity /
- genetic algorithm