Pseudo-Random Binary phase Code and Linear Frequency Modulation(PRBC-LFM) has the advantages both of pseudo-random binary-phase code signal and linear FM signal, which has an excellent anti-jamming performance and broadband characteristics. A novel pulse compression method for PRBC-LFM is proposed based on dechirp receiver. The proposed method enables a low sampling rate for the wideband PRBC-LFM radar system, which simplifies the hardware system of wideband radar. Combining with stepped frequency technology, stepped PRBC-LFM signal is designed. The frequency domain synthesis method based on the pulse compression mentioned above is proposed to realize high range resolution. Computer simulation of point target’s range profile and ground moving target imaging experiment are conducted to verify the efficiency of the proposed method.