阻尼白化滤波及其在GPS模糊度快速解算中应用

针对矿区开采沉陷观测中存在的两次观测的变形值不大等特点,将其作为约束条件,结合改进的白化滤波算法,提出了一种适合单频GPS监测开采沉陷的阻尼白化滤波快速解算模糊度算法。针对一般白化滤波方法对白化处理后模糊度直接取整的做法,提出在假设检验通不过时,引入LAMBDA中的条件最小二乘方法进行搜索,可以有效提高模糊度解算成功率。这个算法为用GPS监测矿区开采沉陷、大坝、滑坡、大桥及高层建筑物等的变形时的模糊度解算提供一条有效途径。

Damped whitening filter and its application in GPS rapid ambiguity resolution

Considering unique characteristics such as deformation values between two different observations being not big in the subsidence of mining-area,a new damped whitening filter algorithm is presented with those above characteristics as constraints.Compared with common whitening filter,the improved one firstly uses the prior information of subsidence as constraints so as to improve ill-condition of normal equation and thus the rather precise real ambiguities can be obtained,then whenever the fixed ambiguities failed to pass the hypothetic test,a conditional least square search method employed in the famous LAMBDA method is utilized to find the correct ambiguities.Therefore,the success rate of fixing ambiguities is higher.This algorithm can provide an efficient approach for correctly fixing ambiguities when using single frequency GPS receiver monitoring subsidence,deformation of dam,landslide,bridge and high buildings.