附有约束的BDS单频单历元改进型Par Lambda算法

Modified Par Lambda algorithm of BDS single epoch and single frequency data with constraint

根据建筑物变形监测的特点,在部分模糊度解算(Par Lambda)算法基础上提出了一种基于北斗卫星导航系统(BDS)的单频单历元附有基线约束的改进型Par Lambda算法,该方法采用BDS单历元测码伪距和单频载波相位观测值组成的双差观测方程与基线长度约束方程进行最小二乘解算,获得模糊度浮点解方差-协方差阵,根据模糊度浮点解精度对双差模糊度进行(2,1,1,…,1)分级处理,基于Lambda算法分批次固定双差模糊度.采用该方法对BDS系统的B1和B2频段的1,5和10s短基线数据进行单频单历元解算.结果表明:采用BDS单频单历元模糊度解算时采用该方法的成功率较传统方法高,其成功率达到98%以上.

Based on the characteristics of deformation monitoring of buildings, a modified Par Lambda algorithm of BDS （BeiDou Navigation Satellite System,BDS） single epoch and single frequency data with baseline constraint was proposed. The least square method was applied to solve the baseline length constraint equation and the double difference observation equations composed of single frequency BDS pseudorange observations and carrier phase observations, so as to compute float solution of double difference ambiguities and the corresponding variance-co- variance matrix. Based on the precision of double difference ambiguities, the ambiguities can be divided into different levels （2,1,1,…, 1） and then be fixed progressively based on the Lambda method. The 1,5 and 10 s short baseline data of B1 and B2 bands of BDS single epoch and sin- gle frequency were computed by this method. The results show that the success rate of apply- ing this method to resolve ambiguity of BDS single epoch and single frequency is higher than the traditional methods, which is more than 98%.