Abstract:

A new approach to waveform selection for tracking the maneuver target which is described by a polynomial prediction model is proposed. Because the motion equation of the target is a polynomial function of the time, the polynomial prediction model can describe the motion state of the target accurately. If the polynomial prediction model is taken as the state equation of the Kalman filter, the Kalman filter can be used to track the position and velocity of the target and predict the prior uncertainty error ellipse of the tracking system. According  to the prior uncertainty error ellipse, the fractional Fourier transform (FrFT) is used to rotate the measurement error ellipse to make them orthogonal to each other. In this way, the optimal waveform is selected. The simulation results show that the proposed algorithm outperforms the constrast algorithms.