基于ESMF算法的GPS信号多普勒频率估计

Estimated doppler frequency of GPS signal based on ESMF

针对GPS接收机对载波信号的跟踪性能受到不同类型噪声的影响,且这些噪声的统计特性很难得到的问题,提出一种基于扩展集员滤波(ESMF)的解决方法.该方法根据载波信号中噪声统计特性未知但有界(UBB)的特点,设定合理的噪声边界,将UBB噪声包含在椭球集合内;利用集员的思想实现载波信号多普勒频率的在线非线性估计,且估计过程中同时能够检测系统坏值的发生时刻.仿真中,模型选取三维空间运动的载体.仿真结果表明,ESMF在处理该模型时是一种有效的鲁棒估计算法.

For the problem that GPS receivers tracking performance of the carrier signal is affected by different types of noises, and the statistical properties of the noises are difficult to obtain, a solution method based on the extended set-membership filter（ESMF） is proposed. According to the characteristics of the noise in the carrier signal which is unknown but bounded（UBB）, a reasonable noise boundary contained in the ellipsoid set is set. Then the idea of set-membership is used to achieve online nonlinear estimation of the Doppler frequency of the carrier signal. In the process of estimation, it can detect the moment that bad values occurred simultaneously. Three-dimensional space movement of the carrier is selected as the simulation model. Simulation results show that, when dealing with this model, ESMF is an effective robust estimation algorithm.