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This letter is devoted to constructing new Type-II Z-complementary pairs (ZCPs). A ZCP of length *N* with ZCZ width *Z* is referred to in short by the designation (*N*, *Z*)-ZCP. Inspired by existing works of ZCPs, systematic constructions of (2*N*+3, *N*+2)-ZCPs and (4*N*+4, 7/2*N*+4)-ZCPs are proposed by appropriately inserting elements into concatenated GCPs. The odd-length binary Z-complementary pairs (OB-ZCPs) are Z-optimal. Furthermore, the proposed construction can generate even-length binary Z-complementary pairs (EB-ZCPs) with ZCZ ratio (i.e. ZCZ width over the sequence length) of 7/8. It turns out that the PMEPR of resultant EB-ZCPs are upper bounded by 4.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E106-A No.9 pp.1272-1276

- Publication Date
- 2023/09/01

- Publicized
- 2023/02/24

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.2022EAL2071

- Type of Manuscript
- LETTER

- Category
- Coding Theory

Xiaoyu CHEN

Yanshan University,Hebei Key Laboratory of Information Transmission and Signal Processing

Yihan ZHANG

Yanshan University,Hebei Key Laboratory of Information Transmission and Signal Processing

Lianfeng SUN

Yanshan University,Hebei Key Laboratory of Information Transmission and Signal Processing

Yubo LI

Yanshan University,Hebei Key Laboratory of Information Transmission and Signal Processing

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Xiaoyu CHEN, Yihan ZHANG, Lianfeng SUN, Yubo LI, "New Constructions of Type-II Binary Z-Complementary Pairs" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 9, pp. 1272-1276, September 2023, doi: 10.1587/transfun.2022EAL2071.

Abstract: This letter is devoted to constructing new Type-II Z-complementary pairs (ZCPs). A ZCP of length *N* with ZCZ width *Z* is referred to in short by the designation (*N*, *Z*)-ZCP. Inspired by existing works of ZCPs, systematic constructions of (2*N*+3, *N*+2)-ZCPs and (4*N*+4, 7/2*N*+4)-ZCPs are proposed by appropriately inserting elements into concatenated GCPs. The odd-length binary Z-complementary pairs (OB-ZCPs) are Z-optimal. Furthermore, the proposed construction can generate even-length binary Z-complementary pairs (EB-ZCPs) with ZCZ ratio (i.e. ZCZ width over the sequence length) of 7/8. It turns out that the PMEPR of resultant EB-ZCPs are upper bounded by 4.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2022EAL2071/_p

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@ARTICLE{e106-a_9_1272,

author={Xiaoyu CHEN, Yihan ZHANG, Lianfeng SUN, Yubo LI, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={New Constructions of Type-II Binary Z-Complementary Pairs},

year={2023},

volume={E106-A},

number={9},

pages={1272-1276},

abstract={This letter is devoted to constructing new Type-II Z-complementary pairs (ZCPs). A ZCP of length *N* with ZCZ width *Z* is referred to in short by the designation (*N*, *Z*)-ZCP. Inspired by existing works of ZCPs, systematic constructions of (2*N*+3, *N*+2)-ZCPs and (4*N*+4, 7/2*N*+4)-ZCPs are proposed by appropriately inserting elements into concatenated GCPs. The odd-length binary Z-complementary pairs (OB-ZCPs) are Z-optimal. Furthermore, the proposed construction can generate even-length binary Z-complementary pairs (EB-ZCPs) with ZCZ ratio (i.e. ZCZ width over the sequence length) of 7/8. It turns out that the PMEPR of resultant EB-ZCPs are upper bounded by 4.},

keywords={},

doi={10.1587/transfun.2022EAL2071},

ISSN={1745-1337},

month={September},}

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TY - JOUR

TI - New Constructions of Type-II Binary Z-Complementary Pairs

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 1272

EP - 1276

AU - Xiaoyu CHEN

AU - Yihan ZHANG

AU - Lianfeng SUN

AU - Yubo LI

PY - 2023

DO - 10.1587/transfun.2022EAL2071

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E106-A

IS - 9

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - September 2023

AB - This letter is devoted to constructing new Type-II Z-complementary pairs (ZCPs). A ZCP of length *N* with ZCZ width *Z* is referred to in short by the designation (*N*, *Z*)-ZCP. Inspired by existing works of ZCPs, systematic constructions of (2*N*+3, *N*+2)-ZCPs and (4*N*+4, 7/2*N*+4)-ZCPs are proposed by appropriately inserting elements into concatenated GCPs. The odd-length binary Z-complementary pairs (OB-ZCPs) are Z-optimal. Furthermore, the proposed construction can generate even-length binary Z-complementary pairs (EB-ZCPs) with ZCZ ratio (i.e. ZCZ width over the sequence length) of 7/8. It turns out that the PMEPR of resultant EB-ZCPs are upper bounded by 4.

ER -