基于随机模型改正的有色状态噪声处理新方法  

An Alterative Approach for Colored State Noises by Correcting and the Random Model

作　　者：黄贤源[1] 隋立芬[1] 范澎湃[1] 曹轶之[1] 

机构地区：[1]信息工程大学测绘学院,河南郑州450052

出　　处：《测绘学报》2008年第3期361-366,共6页Acta Geodaetica et Cartographica Sinica

基　　金：国家自然科学基金项目(40474007);测绘学院硕士学位论文创新与创优基金资助项目

摘　　要：控制有色状态噪声影响除了通过状态向量扩展的方法外,也可以通过修正随机模型。提出采用多项式长除法将有色状态噪声模型展开成无穷级数,截断取其有限项,进而求取有色状态噪声方差。利用该方差对随机模型进行修正,再结合现代时间序列分析方法,构造出新的ARMA新息模型,并根据该新息模型设计状态最优滤波器。为了说明该方法的正确性和合理性,将它与标准的Kalman滤波和状态向量扩展法进行分析和比较。结果证明利用该方法能有效地控制有色状态噪声的影响。There are many theories and models which can control the influence of the colored state noises, for example state-vector-expand filter and in random model compensation filter etc. A new approach is presented by polynomial-quotient which translates colored state noises into infinite series, and chooses the finite series, calculates the variance of colored state noises. The random model can be corrected with this method. The ARMA innovation model and the state optimal filter are designed by combining the modern time series analysis method. In order to verify the validity and rationality of this method, comparisons between this method and the approach of classic Kalman filter and state-vector-expand filter are given. The result shows that the approach can control the influences of the colored state noises effectively.

关 键 词：有色状态噪声 无穷级数 现代时间序列分析 经典Kalman滤波 状态向量扩展法 

分 类 号：P207[天文地球—测绘科学与技术]