Sequence sets having wide inter-subset zero-correlation zone and its applications to instrumentation

The present paper introduces the construction of a class of sequence sets with zero-correlation zones called zero-correlation zone sequence sets. The proposed zero-correlation zone sequence set can be constructed if there exist positive integers (T, L_b, N_d) and a non-negative integer m ≥ 0, S = ±1 that satisfy the criterion L_p = (Z + 1)N_d = (TL_b - S + Λ)N_d for the length L_p of the given perfect sequence p and there exists a Hadamard matrix of order (Z +1)m + L_b. The proposed sequence set has N_d subsets. 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 (Λ + 1) times that of the correlation function of the sequences of the same subset (intra-subset correlation function). This wider inter-subset zero-correlation enables the improvement in performance of applications of the proposed sequence set. The proposed scheme can improve radars using the zero-correlation property of the sequence set.