Abstract:

A construction scheme of the zero correlation zone (ZCZ) sequence set based on correlation product is proposed, which can utilize the correlation product of an orthogonal submatrix and a ZCZ sequence set or two ZCZ sequence sets to construct a novel ZCZ sequence set. It is proved that extension of the ZCZ length is not less than that of the sequence length. When the optimal ZCZ sequence set is employed, the constructed sequence set is optimal or asymptotically optimal. This construction scheme reduces the requirements of the orthogonal matrix as well as the ZCZ sequence set and makes the generated sequence set flexible in dimensionality and length. Finally, the validity of the derived scheme is proved through numerical simulation.