Large zero correlation zone of Golay pairs and QAM Golay pairs

摘要

Sequences with desirable correlation properties have wide applications in today's communication systems. In this paper, we first extend the known results on zero autocorrelation zone of Golay sequences to 4q-QAM Golay sequences and show three constructions of 4q-QAM Golay sequences with a large zero periodic autocorrelation zone, where q ≥ 2 is an arbitrary integer. We then determine the Golay pairs which have large zero periodic crosscorrelation zone.