A novel construction of zero-correlation zone sequence set with wide inter-subset zero-correlation zone

A New Construction of Asymmetric ZCZ Sequence Sets

“…For example, in [15], the period of initial perfect sequences L were required to be L = Nq (2k + 1), which means that perfect sequences with prime lengths cannot satisfy the condition. Moreover, total number of the A-ZCZ sequence sets obtained by [11], [12], [14], [15] cannot exceed the period of the perfect sequences, which have been resolved in [16]. Based on interleaved technique and uncorrelated ZCZ sequence sets, uncorrelated A-ZCZ sequence sets can be generated by [13].…”

“…In addition, the obtained A-ZCZ sequence sets were optimal when M = P/N . In [8], [19]- [21], several types of binary and ternary A-ZCZ sequence sets were proposed by Tang and Hayashi et al However, most resultant sequence sets are quasi-optimal [8], [12]- [16], [19]- [21]. A new construction of optimal polyphase A-ZCZ sequence sets were proposed Copyright © 2022 The Institute of Electronics, Information and Communication Engineers based on DFT matrices and non-repeated frequency-hopping sequence (FHS) sets with no-hit zone (NHZ) in [22].…”

“…(6,7,8,12,16,2, 0,7,14,6,16,8,12,7,2, 0,16,14) x 3 = (9, 10, 11, 15, 1, 5, 3, 10, 17, 9, 1, 11, 15, 10, 5, 3, 1, 17)x 4 = (12, 13, 14, 0, 4, 8, 6, 13, 2, 12, 4, 14, 0, 13, 8, 6, 4, 2)x 5 =(15,16,17,3,7,11,9,16,5,15,7,17,3,16,11,9,7,5) …”

“…(3,4,5,9,13,17,15,1,8, 0,10,20,6,19,11,12,7,2,18,16,14) x 2 = (6, 7, 8,12,16,20,18,4,11,3,13,2,9,1,14,15,10,5, 0,19,17) …”

Optimal Polyphase Asymmetric ZCZ Sequence Sets Including Uncorrelated Sequences

“…Tang et al proposed several types of binary A-ZCZ sequence sets [18], [20], and Hayashi et al proposed several types of binary and ternary A-ZCZ sequence sets [17], [22], [23], [25], [28], In addition, Hayashi et al proposed a method for constructing A-ZCZ sequence sets that can be regarded as optimal ZCZ sequence sets [26]. Zhang et al proposed complementary A-ZCZ sequence sets [21].…”