动态非线性滤波模型非线性强度的曲率度量及其应用  

Curvature Measures of the Nonlinearity Degree of the Nonlinear Filtering and Its Application

作　　者：宫轶松 归庆明[2] 李保利[1,2] 边少峰[3] 

机构地区：[1]总参测绘局,北京市北三环中路69号100088 [2]信息工程大学测绘学院,郑州市陇海中路66号450052 [3]海军工程大学导航工程系,武汉市解放大道717号430033

出　　处：《武汉大学学报（信息科学版）》2011年第8期904-908,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(40974009;10903032);郑州市科技攻关计划资助项目(0910SGYG21198);中国卫星导航学术年会青年优秀论文资助课题

摘　　要：基于微分几何的两种曲率——参数影响曲率和固有曲率,给出了定量描述非线性滤波问题的非线性强度的方法,分别采用扩展Kalman滤波方法和Unscented Kalman滤波方法进行了模拟实验。结果验证了这些曲率确实能够度量非线性滤波问题的非线性强度,且能够评估非线性滤波算法的状态估计性能。A quantitative measure approach to the degree of nonlinearity of the nonlinear filtering problems using the differential geometry based measures of nonlinearity such as parameter-effect curvature and intrinsic curvature is given.The simulation test using the extended Kalman filtering and the unscented Kalman filtering is implemented.The results verify that these curvatures indeed can measure the degree of the nonlinearity of the nonlinear filtering problem,and simultaneously can tell the state estimation performance of the nonlinear filtering algorithms.

关 键 词：非线性滤波 曲率度量 唯方位跟踪 扩展Kalman滤波 Unscented KALMAN滤波 

分 类 号：P207.2[天文地球—测绘科学与技术]