函数极值法求解三频GNSS最优载波相位组合观测量  

Optimal Carrier-phase Combinations for Triple-frequency GNSS Derived from an Analytical Method

作　　者：李金龙[1] 杨元喜[2] 何海波[3] 徐君毅[1] 郭海荣[3] 

机构地区：[1]信息工程大学地理空间信息学院,河南郑州450052 [2]西安测绘研究所,陕西西安710054 [3]北京环球信息应用开发中心,北京100094

出　　处：《测绘学报》2012年第6期797-803,共7页Acta Geodaetica et Cartographica Sinica

基　　金：国家自然科学基金(41020144004;41104022);第2届中国卫星导航学术年会青年优秀论文获奖者资助课题(CSNC2011-QY-13)

摘　　要：将载波相位组合观测量的噪声放大系数表示为与组合观测量波长和电离层延迟影响系数相关参数的函数,提出基于函数极值法求解特定波长和电离层延迟影响系数下的噪声最优线性组合系数。理论推导和计算结果表明,波长较长且以周为单位噪声放大系数较小的三频载波相位组合观测量,以周为单位的电离层延迟放大系数随组合系数之和的增大而增大,约为线性组合系数之和的2.3倍,而电离层延迟影响较小且以周为单位噪声放大系数较小的三频载波相位组合观测量,其波长随线性组合系数之和的增大而减小。The noise amplification factor of GNSS carrier-phase combinations is expressed as the function of two parameters which are related to the wavelength and ionospheric scale factor of combinations respectively. Then an analytical method for solving optimal linear coefficients with minimal noise amplification factor is presented, when the wavelength and ionospheric scale factor of combinations are given. Ft is shown that the ionospheric amplification factor of combinations with long wavelength and low noise increased when the sum of the linear coefficients increased, and the ionospheric amplification factor is about 2.3 times of the sum. Furthermore, the wavelength of combinations with small ionospheric amplification factor and low noise decreased when the sum of linear coefficients increased.

关 键 词：全球卫星导航系统 北斗卫星导航系统 三频 函数极值法 最优组合 

分 类 号：P227[天文地球—大地测量学与测量工程]