A note on the extended kalman filter
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The extended Kalman filter (EKF), in the continuous time version, has to be interpreted in the Ito sense. Therefore, processing of the (EKF) algorithm is much more involved than has appeared to be the case. An additional n^2(n+1)2 differential equations have to be processed when the EKF is properly interpreted.
[1] A. Jazwinski. Stochastic Processes and Filtering Theory , 1970 .