Due to the effect of range-Doppler coupling between the time delay and shifted frequency of an LFM waveform, LFM radar is particularly susceptible to shift frequency jamming. A new deceptive jamming method, the Preceded Frequency-shift False Target (PFFT), has a similar signature to real radar targets, which indicates that conventional ECCM, such as leading-edge tracking, could be invalid when countering it. In this paper, the basic principle of PFFT is introduced and its signatures analyzed. Then, a new method for discrimination between a preceded false target generated by Digital Radio Frequency Memory (DRFM) and a radar target is proposed. By comparing the echo arrival time at the radar receiver front end with that estimated after a matched filter, the new method can extract the frequency modulation jamming signature and make a correct judgment. Simulation results are presented to verify the validity of the proposed method.