Abstract

When linear frequency modulation (LFM) waveforms are utilised to estimate target range, the error due to the velocity effect on range estimation must be reduced. This error, which is caused by the Doppler effect of target velocity, can be decreased using a Kalman filter. However, as the computational work of Kalman filters is so much, steady-state filters are applied. In this study, in order to reduce range estimation error, the coefficients of steady-state filters are calculated using two methods: first, it is computed considering the velocity Doppler error and with the purpose of improving the steady-state response of the filters. In this method, by omitting the velocity Doppler Effect, the bias value and the root-mean-square error of the range estimation are diminished considerably. In the second method, a transfer function is obtained in order to estimate the range using Z- transform, and the coefficients are calculated with the aim of improving the transient response of the filters, and it is observed that the overshoot value and the fluctuations of the transient response of the filters reduce significantly. Furthermore, in this method, unlike the previous one, there is no need for the data of acceleration and the variations of the movement acceleration along the path.

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