一种固定基线单频整周模糊度求解方法

A Single Frequency Ambiguity Calculation Algorithm in Fixed Baseline

针对最小二乘方法求解单频多历元数据模糊度浮点解时需进行高阶矩阵运算,导致运算量过大的问题,提出了一种结合序贯平差和最小二乘模糊度去相关调整方法求解固定基线单频整周模糊度的算法。文中分别阐述序贯平差算法和最小二乘模糊度去相关调整方法的原理,以及序贯平差求解模糊度浮点解和协方差阵、最小二乘模糊度去相关调整方法搜索整数解的过程,最后通过残差比值和先验信息固定正确的模糊度。结果表明本方法计算量小,可以在实时嵌入式平台中运行,用低成本实现GPS高精度应用。

Generally,the fixed baseline＇s single frequency integer ambiguity resolution calculated by multiple epoch data,the first step is to calculate the ambiguity float solution-traditionally use least squares method.When dealing with multiple epoch data,this method requires high-order matrix operations,leading to excessive computation.Aiming this problem,the paper proposes a new algorithm of fixed baseline single frequency multi-epoch ambiguities resolution that be combined with sequential adjustment and the LAMBDA method.Each epoch data indirect adjust by sequential adjustment algorithm in sequence.Therewith,the float ambiguities and their variance covariance matrix computed.The LAMBDA method provides the integer least-squares estimate for the ambiguities.In the last,using ratio method and auxiliary information fix the precise integer ambiguities.The result indicate this method is a small amount of calculation and can run in real time embedded platform,and with low cost to achieve high precision GPS application.