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A novel construction of complementary sequences with multi-width zero cross-correlation zone (ZCCZ) is presented based on the interleaving iteration of a basic kernel set. The presented multi-width ZCCZ complementary (MWZC) sequences can be divided into multiple sequence groups, the correlation functions of which possess one-width intragroup ZCCZ and multi-width intergroup ZCCZ. When an arbitrary orthogonal sequence set with set size equal to sequence length is used as a basic kernel set, the constructed MWZC sequence set and the combination sets of specific subsets with each subset including several groups can be optimal with respect to the theoretical bound on set size. In addition, the MWZC sequence set includes complementary sequence sets with one-width or two-width ZCCZ as special subsets, and allows a more flexible choice of sequence parameters.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.8 pp.1508-1517

- Publication Date
- 2010/08/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.E93.A.1508

- Type of Manuscript
- PAPER

- Category
- Coding Theory

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Zhenyu ZHANG, Fanxin ZENG, Guixin XUAN, "A Class of Complementary Sequences with Multi-Width Zero Cross-Correlation Zone" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 8, pp. 1508-1517, August 2010, doi: 10.1587/transfun.E93.A.1508.

Abstract: A novel construction of complementary sequences with multi-width zero cross-correlation zone (ZCCZ) is presented based on the interleaving iteration of a basic kernel set. The presented multi-width ZCCZ complementary (MWZC) sequences can be divided into multiple sequence groups, the correlation functions of which possess one-width intragroup ZCCZ and multi-width intergroup ZCCZ. When an arbitrary orthogonal sequence set with set size equal to sequence length is used as a basic kernel set, the constructed MWZC sequence set and the combination sets of specific subsets with each subset including several groups can be optimal with respect to the theoretical bound on set size. In addition, the MWZC sequence set includes complementary sequence sets with one-width or two-width ZCCZ as special subsets, and allows a more flexible choice of sequence parameters.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.1508/_p

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@ARTICLE{e93-a_8_1508,

author={Zhenyu ZHANG, Fanxin ZENG, Guixin XUAN, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={A Class of Complementary Sequences with Multi-Width Zero Cross-Correlation Zone},

year={2010},

volume={E93-A},

number={8},

pages={1508-1517},

abstract={A novel construction of complementary sequences with multi-width zero cross-correlation zone (ZCCZ) is presented based on the interleaving iteration of a basic kernel set. The presented multi-width ZCCZ complementary (MWZC) sequences can be divided into multiple sequence groups, the correlation functions of which possess one-width intragroup ZCCZ and multi-width intergroup ZCCZ. When an arbitrary orthogonal sequence set with set size equal to sequence length is used as a basic kernel set, the constructed MWZC sequence set and the combination sets of specific subsets with each subset including several groups can be optimal with respect to the theoretical bound on set size. In addition, the MWZC sequence set includes complementary sequence sets with one-width or two-width ZCCZ as special subsets, and allows a more flexible choice of sequence parameters.},

keywords={},

doi={10.1587/transfun.E93.A.1508},

ISSN={1745-1337},

month={August},}

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TY - JOUR

TI - A Class of Complementary Sequences with Multi-Width Zero Cross-Correlation Zone

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 1508

EP - 1517

AU - Zhenyu ZHANG

AU - Fanxin ZENG

AU - Guixin XUAN

PY - 2010

DO - 10.1587/transfun.E93.A.1508

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E93-A

IS - 8

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - August 2010

AB - A novel construction of complementary sequences with multi-width zero cross-correlation zone (ZCCZ) is presented based on the interleaving iteration of a basic kernel set. The presented multi-width ZCCZ complementary (MWZC) sequences can be divided into multiple sequence groups, the correlation functions of which possess one-width intragroup ZCCZ and multi-width intergroup ZCCZ. When an arbitrary orthogonal sequence set with set size equal to sequence length is used as a basic kernel set, the constructed MWZC sequence set and the combination sets of specific subsets with each subset including several groups can be optimal with respect to the theoretical bound on set size. In addition, the MWZC sequence set includes complementary sequence sets with one-width or two-width ZCCZ as special subsets, and allows a more flexible choice of sequence parameters.

ER -