A Generalized Construction of Zero-Correlation Zone Sequence Set with Sequence Subsets

摘要

The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of orders n_0 and n_1. The constructed sequence set consists of n_0n_1 ternary sequences, each of length n_0~(m+2)(n_1 + △), for a non-negative integer m and A > 2. The zero-correlation zone of the proposed sequences is τ ≤ n_0~(m+1) - 1, where t is the phase shift. The proposed sequence set consists of n_0 subsets, each with a member size n_1. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a zero-correlation zone with a width that is approximately △ times that of the correlation function of sequences of the same subset (intra-subset correlation function). The inter-subset zero-correlation zone of the proposed sequences is τ ≤ △n_0~(m+1), where t is the phase shift. The wide inter-subset zero-correlation enables performance improvement during application of the proposed sequence set.