组合卫星接收机中的选星算法

分析了五阶矩阵的行列式值与5颗星GDOP(Geometry Dilution of Precision)值的关系,并由此提出了一种用于双卫星星座组合接收机(如GPS(Global Position System)和BD2(BeiDou2)组合接收机)中的选星算法--组合优选法.该方法首先选出行列式绝对值最大的几种组合,然后根据需要对每种组合从其余可见星中选出几颗最优星,最后根据GDOP最小原则从这几种组合中选取最终结果.计算机仿真结果显示该方法与直接利用GDOP选星相比,95％以上的GDOP相对比值小于5％,而计算量减小40％以上.

Satellite selection algorithm for combined satellite receivers

On the basis of the relationship between the determinant of a 5×5 matrix and five satellites- geometry dilution of precision(GDOP), a method of selecting satellites for double constellation combined receiver (e.g. GPS(global position system) and BD2(BeiDou2) combined receiver) was proposed. With this algorithm, firstly several combinations of the maximal determinant were computed, then some optimal satellites from other visible satellites for each combination were chosen according to need, lastly according to the least GDOP principle the final result was selected from previous combinations. Computer simulations indicate that compared to directly using GDOP to select satellites, more than 95% of relative ratio are lower than 5%, while computation burden reduces more than 40% with this method.