A Class of Complementary Sequences with Multi-Width Zero Cross-Correlation Zone
Summary :
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
Authors
Keyword
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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 -
English
