Zero-cross-correlation properties of asymmetric ZCZ sequence sets

The present paper proposes a new formula for the zero-cross-correlation zone length between sequences belonging to different sequence subsets in asymmetric zero-correlation zone (ZCZ) sequence sets. An asymmetric ZCZ sequence set is composed of multiple sequence subsets, and the cross-correlation function between sequences that belong to different subsets gives an extremely large zero-cross-correlation zone length. However, the length of this zero-cross-correlation zone was not precisely clarified in previous studies. In the present paper, we clarify them. By using the proposed formula, we can enlarge the cell radius of an AS-CDMA system compared with that described in previous studies.