A general design of orthogonal sequences with alternate periodic correlation values equal to zero

Based on the interleaving technique, a general design of orthogonal sequences with alternate periodic correlation values equal to zero is proposed. The proposed sequence set can be divided into two groups. In addition to traditional orthogonal properties, the periodic auto-correlation functions (ACFs) and intra-group cross-correlation functions (CCFs) of the designed sequences take zero at any odd shift while the inter-group CCFs take zero at any even shift. As a special case of the sequences with zero correlation zone (ZCZ), the designed sequences have the fixed ZCZ widths of 1 and 2, and can achieve the theoretical bound of set size for sequence length and ZCZ width.