Analysis of the ambiguity function for phase-coded waveforms

The phase codes is one of important pulse compression waveform methods. This paper shows and compares the PSLR (Peak Sidelobe Ratio), ISLR (Integrated Sidelobe Ratio) and doppler tolerance for different phase codes. At first, a presentation of the ambiguity function is given, as well as some measures to evaluate it. Then we define some existed phase code and plot their ambiguity function. We consider the best sequence, the sequence that has low PSLR, ISLR and low sidelobe in the presence of large doppler shift. The comparison results have shown that for zero doppler, the golay complementary pair is the best. However, the P3, P4 and Chu codes are the best in the case of large doppler shift.