Ternary sequence set having periodic and aperiodic zero-correlation zone
A new class of ternary sequence with a zero-correlation zone is introduced. The proposed sequence sets have a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of size n(0) x n(0) and a Hadamard matrix of size n(1) x n(1). The constructed sequence set consists of n(0)n(1) ternary sequences, and the length of each sequence is n(0)((m+1)) (n(1) + 1) for a non-negative integer m. The zero-correlation zone of the proposed sequences is \tau\ <= n(o)(m) - 1, where tau is the phase shift. The sequence member size of the proposed sequence set is equal to n(1)/n(1)+1 times that of the theoretical upper bound of the member size of a sequence set with a zero-correlation zone.
ternary sequence zero-correlation zone aperiodic correlation function finite-length sequence periodic correlation function