The Theory of ZCZ Array Pairs

A new discrete array signal with good periodic correlation property is discussed, which is ZCZ array pairs. The invariant transformation properties of it were presented. Based on perfect array pair and orthogonal matrix, ZCZ array pairs set with certain volume, family size and zero correlation zone can be synthesized through row or column interleaved technique. Except the binary case, this technique can also be applied to synthesize polyphase ZCZ array pairs set. The research results show that ZCZ array pair extend the selectable scope of two-dimension discrete array signal and are feasible for engineering applications such as multi-user signal.