Constructions of Even-Period Binary Z-Complementary Pairs With Large ZCZs

Xie, Chunlei; Sun, Yujuan

doi:10.1109/lsp.2018.2848102

Cited by 40 publications

(20 citation statements)

References 13 publications

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“…Based on two ZCPs of length N and ZCZ width Z, in which one pair is a specific Zcomplementary mate of the other pair, Theorem 3.2 shows that the value of ZOCZ width of the sequence pair constructed in ( 7) is identical to the ZCZ width of used ZCPs. In Table 1, we list the parameters of the resultant ZCPs by Construction 1 from the ZCPs available in the literature [20,21,37]. In the following, we show some illustrative examples.…”

Section: New Construction Of Z-complementary Pairs With Zcz and Zoczmentioning

confidence: 99%

“…Chen et al presented a novel construction of ZCPs based on generalised Boolean functions, where the sequence length, the ZCZ width, and the constellation size are very flexible [3]. Very recently, by concatenating several different complementary pairs of length 2 m , Xie et al [37] proposed a construction of even-length binary ZCP with length N = 2 m+3 + 2 m+2 + 2 m+1 and ZCZ width Z = 2 m+3 . Inserting method is a useful method for constructing ZCPs proposed by Adhikary et al in [1].…”

Section: Introductionmentioning

confidence: 99%

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Z-complementary pairs with flexible lengths and large zero odd-periodic correlation zones

Yao¹,

Ren²,

Wang³

et al. 2023

AMC

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<p style='text-indent:20px;'>Z-complementary pairs (ZCPs) have been widely used in different communication systems. In this paper, we first investigate the odd-periodic correlation property of ZCPs, and propose a new class of ZCPs, called ZOC-ZCPs with zero correlation zone (ZCZ) width <inline-formula><tex-math id="M1">\begin{document}$ Z $\end{document}</tex-math></inline-formula> and zero odd-period correlation zone (ZOCZ) width <inline-formula><tex-math id="M2">\begin{document}$ Z_{odd} = Z $\end{document}</tex-math></inline-formula> by horizontal concatenation of a certain combination of some known ZCPs. Particularly, based on any known Golay pair, we can generate a class of GCPs of more flexible length whose ZOCZ width is larger than a quarter of the sequence length.</p>

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Section: New Construction Of Z-complementary Pairs With Zcz and Zoczmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Z-complementary pairs with flexible lengths and large zero odd-periodic correlation zones

Yao¹,

Ren²,

Wang³

et al. 2023

AMC

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show abstract

“…Like GCPs, one application of ZCPs is the reduction of peak-to-mean envelop power ratio of multicarrier signals [4], [19]. In this section, we discuss the PAPR of the proposed ZCPs.…”

Section: Papr Of the Proposed Zcpsmentioning

confidence: 99%

New Construction of Even-Length Binary Z-Complementary Pairs with Low PAPR

Yong

Yang

2021

IEICE Trans. Fundamentals

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This paper is focused on constructing even-length binary Z-complementary pairs (EB-ZCPs) with new length. Inspired by a recent work of Adhikary et al., we give a construction of EB-ZCPs with length 8N + 4 (where N = 2 α 10 β 26 γ and α, β, γ are nonnegative integers) and zero correlation zone (ZCZ) width 5N + 2. The maximum aperiodic autocorrelation sums (AACS) magnitude of the proposed sequences outside the ZCZ region is 8. It turns out that the generated sequences have low PAPR.

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“…e.g. [1], [3], [5], [10], [15], [16], [22], [27], [28]). In contrast, there are few constructions of 2-D ZCAPs.…”

Section: Introductionmentioning

confidence: 99%

New constructions of $q$-Ary 2-D Z-Complementary Array Pairs

Zhang,

Fan,

Mesnager

2021

Preprint

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This paper is devoted to sequences and focuses on designing new two-dimensional (2-D) Z-complementary array pairs (ZCAPs) by exploring two promising approaches. A ZCAP is a pair of 2-D arrays, whose 2-D autocorrelation sum gives zero value at all time shifts in a zone around the (0, 0) time shift, except the (0, 0) time shift. The first approach investigated in this paper uses a one-dimensional (1-D) Z-complementary pair (ZCP), which is an extension of the 1-D Golay complementary pair (GCP) where the autocorrelations of constituent sequences are complementary within a zero correlation zone (ZCZ). The second approach involves directly generalized Boolean functions (which are important components with many applications, particularly in (symmetric) cryptography). Along with this paper, new construction of 2-D ZCAPs is proposed based on 1-D ZCP, and direct construction of 2-D ZCAPs is also offered directly by 2-D generalized Boolean functions. Compared to existing constructions based on

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Constructions of Even-Period Binary Z-Complementary Pairs With Large ZCZs

Cited by 40 publications

References 13 publications

Z-complementary pairs with flexible lengths and large zero odd-periodic correlation zones

Z-complementary pairs with flexible lengths and large zero odd-periodic correlation zones

New Construction of Even-Length Binary Z-Complementary Pairs with Low PAPR

New constructions of $q$-Ary 2-D Z-Complementary Array Pairs

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