A novel construction of zero-correlation zone sequence set with wide inter-subset zero-correlation zone

The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone (ZCZ). The proposed sequence construction generates a ZCZ sequence set from a perfect sequence pair or a single perfect sequence. The member size of the proposed sequence set approaches the theoretical bound. The proposed sequence set consists of L_g subsets, where a Hadamard matrix of order L_g is used in the sequence construction. The correlation function of the sequences of a pair of different subsets, inter-subset correlation function, has a ZCZ with a width that is (Λ + 1) times that of the intra-subset correlation function for a positive integer Λ ≥ 1. The wide inter-subset zero-correlation improves the performance of the applications of the proposed sequence set.