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 = (TLb - S + Lambda) 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 (Lambda + 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.