A New Method for Constructing Asymmetric ZCZ Sequence Sets

New Constructions of Zero-Correlation Zone Sequences

“…Let u be a length-N perfect sequence of the form (17), N = n−1 k=0 M k = L 2 for some L, and H i be the ith submatrix defined by (15) and (16)…”

“…Some ZCZ sequence sets can be partitioned into smaller subsets so that the zero-CC zone of any two sequences drawn from different subsets are wider than that among intra-subset sequences. Ternary or polyphase sequences with such a property have been constructed via interleaving techniques [17], [18] and in [19], [20] quadrature amplitude-modulated (QAM) sequences are shown to be derivable from binary or ternary sequences.…”

Optimal Polyphase Asymmetric ZCZ Sequence Sets Including Uncorrelated Sequences

“…Integers, p, po, pi, T, To, and Ti, are defined as p=piM+po (20) T= TIM+ To (21) L OSpo,To SM-1 (22) O:Ell Pi•, Ti Sll P-1 (23) OS p,TS PM -1 (24) In addition, an integer, E, is defined as follows: po =o 'RfnoM+po,fniM+po+To-EM (Tl + C) (29) Now, we consider the folloinring two cases.…”

“…The proposed method can generate A-ZCZ sequence sets that cannot be obtained 492 using known methods. The proposed method was .obtained by improving our previouSly proposed methods [19], [24]. -Although our previous methods use perfect sequences and orthogonal codes in order to construct A-ZCZ sequence sets, the proposed method uses DFT matrices instead of perfect sequences, The A-ZCZ sequence sets obtained by 6ur previous methods can be regarded as quasi-optimal ZCZ sequence sets.…”

“…Zhang et al proposed complementary A-ZCZ sequence sets [21]. Moreover, we previously proposed a method for constructing polyphase A-ZCZ sequence sets that can be regarded as quasioptimal ZCZ sequence sets [19], [24].…”