Abstract: This paper presents the computation results of the minimum peak sidelobe filter (LP filter) for the 15bit m-sequence phase coded waveform with feedback connection [4, 3, 0] and initial condition 1001. The design of the filter resorts to linear programming method. The peak sidelobe level of LP filter of length 15 is reduced to －21.47 dB, and is 7.49 dB lower than that of matched filter. The LP filter can suppress the peak sidelobe even more as increasing its length. The minimum peak sidelobe filter for 15 bit m-sequence phase coded waveform (initial condition 1001) has been implemented with surface acoustic wave (SAW) device. experiments show that the peak sidelobe level of the manufactured filter is －19dB and thus differs from the theoretical value (－21.47 dB) by 2.47 dB.