Sequence sets having wide inter-subset zero-correlation zone and its applications to instrumentation
Takafumi Hayashi, Shigeru Kanemoto, Takao Maeda · Society of Instrument and Control Engineers of Japan · 2012
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.