计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (14): 207-210.

• 信息与信号处理 • 上一篇    下一篇

广义容积卡尔曼滤波

刘  洋,黄  盼   

  1. 电子科技大学 电子科学与技术研究院,成都 611731
  • 出版日期:2015-07-15 发布日期:2015-08-03

A more general class of cubature Kalman filters

LIU Yang, HUANG Pan   

  1. Research Institute of Electronic Science and Technology, University of Electronic Science and Technology of China, Chengdu 611731, China
  • Online:2015-07-15 Published:2015-08-03

摘要: 传统CKF采用三阶球面径向容积定律来计算非线性积分,该定律将球面数值积分与径向积分相结合,难以构造高阶CKF算法。此外,CKF在许多非线性问题上表现出估计精度低等问题。为了解决以上问题,提出了一种广义CKF族,所提算法彻底抛弃了球面径向积分定律。进一步指出,传统CKF是这种滤波算法的特殊形式。实验结果表明,高阶CKF比传统的非线性滤波器准确性更高。

关键词: 非线性滤波, 容积卡尔曼滤波, 状态估计, 目标跟踪

Abstract: The conventional CKF uses third-degree spherical-radial cubature rule to compute nonlinear integrals, which combines the spherical cubature rule and radial rule, making it difficult to construct higher-degree CKF. Moreover, the 3rd-degree cubature Kalman filter yields low level estimations in many nonlinear problems. In order to solve these problems, the paper presents a more general class of the CKFs which completely abandons the spherical-radial cubature rule. The paper further points out that the conventional CKF is a special case of the proposed algorithm. The experimental result demonstrates that the higher-degree CKF outperforms the conventional nonlinear filters in terms of accuracy.

Key words: nonlinear filtering, cubature Kalman filters, state estimation, target tracking