基于正则化的陆基伪卫星整周模糊度解算方法

摘要

针对特殊地理环境下陆基伪卫星系统整周模糊度解算精度不足的问题,提出了基于 TIKHONOV 正则化方法的陆基伪卫星定位系统整周模糊度在线解算的方法.该方法根据陆基伪卫星定位系统所处的环境,使用TIKHONOV正则化方法对观测方程的法方程进行处理,对法方程的病态性进行削弱.仿真验证结果表明,使用TIKHONOV正则化方法削弱法方程的病态性后,整周模糊度浮点解的解算误差缩小了数十倍,据此搜索出的整周模糊度整数解与真值相同.由此可得出结论,该方法能够提高陆基伪卫星定位系统整周模糊度的解算精度.%To solve the problem of insufficient accuracy of carrier phase ambiguity which based on land-based pseudolite system in the special geographical environment,a new approach,which based on TIKHONOV regu-larization,of online resolution of carrier phase ambiguity which based on land-based pseudolite system was pro-posed in this paper.In this approach,TIKHONOV regularization was used to deal with the normal equation of observation equation and weakened the ill-conditioning of normal equation.The consequence of simulation showed that the resolution error of the float solution of carrier phase ambiguity shrank for dozens of times after TIKHONOV regularization was used to deal with the normal equation of observation equation.The integer solu-tion of carrier phase ambiguity which searched in terms of the float solution was absolutely equal to the truth-value.The problem of insufficient accuracy of carrier phase ambiguity based on land-based pseudolite system could be solved by this approach.