Flight track extraction method based on probability hypothesis density filter associated with global time and space
A technology of probability hypothesis density and space-time correlation, which is applied to navigation calculation tools and other directions, can solve the problem of not using global space-time information at the same time, and achieve the effect of improving the effect of track extraction and the accuracy of track extraction
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[0056] Simulation scenario: the target detection probability is Pd=0.98, and the survival probability is Pe=0.99. The target is moving in two-dimensional space, and its state equation is
[0057] X(k+1)=F(k)X(k)+v(k)
[0058] Among them, the state vector X ( k ) = x x · y y · ' , State transition matrix F ( k ) = 1 T 0 1 ⊗ I 2 , The process noise covariance is Q = Φ Q 2 T 4 4 T 3 2 T 3 2 T 2 ⊗ I 2 , Among them, the sampling time is T=1s, and the process noise is Gaussian white noise and is independent of the measurement noise. Φ Q =0.25, I 2 It is a 2×2 identity matrix.
[0059] The measurement equation is
[0060] Z(k)=h[X(k)]+ω(k)
[0061] Among them, Z(k)=[ρ(k)θ(k)]', and ω is Gaussian white noise. h [ X ( k ) ] = x 2 ( k ) + y 2 ( k ) arctan ...
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