径向速度测量在Kalman滤波中的应用
Use of Radial Velocity Measurements in Kalman Filter
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摘要: 研究一种把径向速度测量引入 Kalm an滤波的新方法. 在分析传感器噪声特性以及测量方程结构的基础上, 提出优先处理位置测量数据, 然后利用位置矢量的滤波值改进对径向速度测量方程的伪线性表述, 从而得到一种序贯处理、伪线性结构的滤波算法. 从理论上分析了该算法的稳定性. 蒙特卡洛仿真说明该算法不仅克服了推广Kalman滤波 ( EKF)暂态性能差的缺陷, 而且其稳态性能也略优于 EKF.Abstract: A new algorithm is developed to incorporate the radial velocity measurement into Kalman filter. Based on the analysis of sensor noise and measurement equation structure, the pseudo linear formulation of radial velocity measurement equation can be improved after position measurement update and a sequential pseudo linear structure algorithm is obtained. A theoretical analysis is given about its stability. Monte Carlo simulation results show that the new algorithm can not only overcome the shortcomings in the inferior transient performance of exfended Kalman filtering but can also be slightly superior to it during the steady phase.
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