多个相关测量的融合算法及其最优性

Multiple Correlated Measurements Fusion Algorithm and Its Optimality

将不相关测量融合算法推广到了相关测量的融合.对两种方法进行了比较:第一种是先用本文提出的融合算法将多个相关测量进行融合,然后将融合后的测量用于Kalm an滤波;第二种是直接将多个相关的测量用于Kalm an滤波.理论分析证明两种方法是等价的,因而也证明了本文融合方法的最优性.仿真结果表明了理论分析的正确性.*

The fusion algorithm of uncorrelated measurements is extended to the case of correlated measurements. Two methods are compared. One method uses the proposed algorithm to fuse multiple correlated measurements, then uses the fused measurement in the Kalman filtering. The other uses multiple correlated measurements directly in the Kalman filtering. Equivalence of the two methods are analyzed, and the optimality of the first method is then proved. Simulation result confirms the correotness of the theoretical analysis.