LFM Pulse Compression Based on Pei Sampling-Type DFRFT Algorithm

Based on Pei sampling-type DFRFT algorithm, a novel method of linear frequency-modulated pulse compression is proposed. Through zero padding and prolongation, the time delay estimation of linear frequency-modulated (LFM) pulse is transformed into the center frequency estimation. In this way, the result approximate to the conventional LFM pulse compression can be obtained by utilizing the LFM pulse energy concentration of fractional Fourier transform. The analytic expression of discrete range-finding estimator is derived and the corresponding dispersion accuracy and the influence of Doppler shift are analyzed. It is found that the proposed method has strong robustness on Doppler shift, and reduces the computation complexity by half without the decline of range-finding accuracy. The simulations prove the above-mentioned theories.