Large zero odd periodic autocorrelation zone of Golay sequences and QAM Golay sequences

Sequences with good correlation properties have been widely adopted in modern communications, radar and sonar applications. In this paper, we present that a single H-ary Golay sequence or 4^q-QAM Golay sequence has a large zone of zero odd periodic autocorrelation, where H ≡ 0 (mod 4) is a positive integer and q ≥ 2 is an arbitrary integer. The conditions on the permutations employed in the boolean functions are the same as those for the sequences with a large zone of zero (even) periodic autocorrelation. More importantly, sequences with large odd periodic autocorrelations centered around the origin could be used to reduce the multipath interference at the receiver end and thus improve the performance of the communication system.