Preferred Z-complementary pairs and their application in doppler resilient waveform design

Z-complementary pairs (ZCPs) are well-known, but few work has dedicated to their aperiodic cross-correlation. One objective of this paper is to propose a novel class of sequence pairs, called “preferred Z-complementary pairs (PZCPs)”, where each sequence pair has Z-complementary property, and the aperiodic cross-correlation between the two sequences in each pair are zeros within a certain region. Some constructions of PZCPs from Golay complementary pairs (GCPs) are presented. Another objective of this paper is to apply PZCPs to design Doppler resilient waveforms combined with equal sums of powers (ESPs). Simulation results show that the proposed waveform has good Doppler tolerance.