A Method to Overcome Divergence of Radar Extended Kalman Track Filter
A technology for extending Kalman and radar, applied in the field of Kalman track filtering data processing, can solve the problem of target filtering track divergence, the target motion equation model cannot accurately describe the target motion characteristics for a long time, etc. Increased system complexity and improved accuracy
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[0048](1) System modeling: Carry out system modeling according to the conventional extended Kalman filter method, set the motion equation of the radar detection target and the radar system measurement equation, the motion model of this system adopts the constant acceleration model, according to the formula , ,
[0049] Get: transition matrix , the noise matrix .
[0050] (2) State prediction: In the radar detection target system, the state elements generally include position coordinates, attitude angle, and three-way velocity. Assume that the previous time of radar track filtering is k, and the state of the filtering system at time k is X(k| k), the covariance matrix is P(k|k), and the state transition function is F(k), then the state prediction value X(k+1|k) at time k+1 can be obtained, namely .
[0051] (3) Covariance prediction: due to the transfer of the system, it is necessary to predict the covariance and obtain the covariance matrix P(k+1|k), namely
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