A Novel Construction of Asymmetric ZCZ Sequence Sets from Interleaving Perfect Sequence

Families of asymmetric sequence pair set with zero‐correlation zone via interleaved technique

“…In recent years, the designs of ZCZ sequence set and ZCZ sequence pair set have been researched based on interleaved technique and perfect sequence or sequence pair [4][5][6][7][8][9][10]. Recently, the ZCZ sequence set that was composed of multiple sequence subsets, which also is said as asymmetric ZCZ (A-ZCZ) sequence set, has been proposed and obtained [11][12][13][14][15][16][17][18]. Tang et al [11] presented several types of binary A-ZCZ sequence set and Hayashi et al [12,13] constructed several types of binary and ternary A-ZCZ sequence set.…”

An asymmetric ZCZ sequence set with inter-subset uncorrelated property and flexible ZCZ length

“…0, for 0 ≤ t = t < 4, 0 ≤ k = l < 4 and 0 < |τ | < 3, 0, for 0 ≤ t = t < 4, 0 ≤ k = l < 4 and 0 ≤ |τ | < 3, 0, for 0 ≤ t = t < 4 and ∀τ. (14) For example, the ACF of c Figure 2. Periodic correlation properties of UA-ZCZ sequence set C. Table 2 lists the comparison of known constructions of A-ZCZ sequence sets.…”

“…In order to overcome the above shortcoming, a new class of zero correlation zone (ZCZ) sequence set referred as asymmetric ZCZ (A-ZCZ) sequence set has recently been proposed [10,4,5,12,15,14,11,13]. An A-ZCZ sequence set consists of multiple C-ZCZ sequence subsets, and the cross-correlation function (CCF) of two sequences which belong to different subsets has a wider ZCZ than that of arbitrary two sequences in the same subset.…”

“…In the literature, several construction methods for the A-ZCZ sequences have been proposed [4,5,12,11,14,15]. Hayashi et al improved two types of ternary A-ZCZ sequence sets from given Hadamard matrices and mutually orthogonal complementary sets [4,5].…”

“…Torii et al presented several types of polyphase A-ZCZ sequence sets from a given perfect sequence and a discrete Fourier transform (DFT) matrix [12,11]. In our previous works, a type of polyphase A-ZCZ sequence set [14] as well as two class of polyphase A-ZCZ sequence pair set [15] was introduced via interleaving a given perfect sequence. However, all of above schemes have two common shortcomings.…”