北斗三频整系数线性组合优化模型

Linear combination optimization model of BeiDou triple-frequency integral coefficient carrier phase observation

针对北斗三频观测量的应用需求,该文在对北斗三频载波相位线性组合观测模型进行误差分析的基础上,从几何的角度对削弱或消除误差的实系数无电离层组合、无对流层组合和最小噪声组合进行空间分析,更为直观地描述了无电离层平面、无对流层平面和最小噪声线的关系。在此基础之上,引出北斗整系数线性组合,并对长波长组合、弱电离层组合和弱观测噪声组合进行分析,以巷数、电离层延迟系数和噪声放大系数作为三频最优整系数线性组合的判断指标,得到了以(-1,-5,6)、(0,-1,1)和(1,4,-5)为代表的几组具有不同特性的最优三频整系数线性组合,并得出三频整系数优选线性组合模型的系数之和一般为S=0或者S=±1。

According to the application requirements of BeiDou triple-frequency observation,the linear combination observation model was established.Based on the error analysis of the model,a spatial analysis of the real coefficient ionosphere-free combination,troposphere-free combination and minimum noise combination that weakening or eliminating errors was made from a geometric perspective,and then the relationship between the ionosphere-free plane,the troposphere-free plane and the minimum noise line was more intuitively described.On this basis,the linear combination of the BeiDou integral coefficient was derived,and the combination of long-wavelength,weak ionospheric delay and weak observation noise was analyzed.Then,the lane number,the ionospheric delay coefficient and the noise amplification factor were used as the judgment indicators for the triple-frequency optimal integral coefficient linear combination.Finally,several sets of optimal triple-frequency integral coefficient linear combination with different characteristics,represented by(-1,-5,6),(0,-1,1)and(1,4,-5)are obtained,and the sum of the coefficients of the optimal linear combination model of the three-frequency integral coefficient is generally S=0or S=±1.