New Construction of Mutually Orthogonal Binary Sequence Sets with Zero Correlation Zone

doi:10.13190/jbupt.201206.30.liuk

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2012, Vol. 35 ›› Issue (6): 30-33.doi: 10.13190/jbupt.201206.30.liuk

• Papers • Previous Articles Next Articles

New Construction of Mutually Orthogonal Binary Sequence Sets with Zero Correlation Zone

LIU Kai, YU Sai, LI Yu-bo, XU Cheng-qian

College of Information Science and Engineering, Yanshan University, Hebei Qinhuangdao 066004, China

Received:2012-01-12 Revised:2012-03-28 Online:2012-12-28 Published:2013-01-07
Supported by:
National Natural Science Foundation of China

Abstract

Abstract:

Based on a pair of Hadamard matrices of the same size, a new construction of mutually orthogonal binary sequence sets with zero correlation zone (ZCZ) is presented by interleaving recursion. The sequence sets proposed can achieve theoretical bound of binary ZCZ sequence sets. By interleaving recursion, ZCZ sequence sets can be constructed from Hadamard sequences weighted by the coefficient matrices, satisfying mutually orthogonality, in which the number of sequences doubles the size of Hadamard matrix. The construction results illustrate that the proposed method improves the number of mutually orthogonal binary sequence sets with ZCZ and obtains more new sequence sets, which are used in quasi-synchronous code division multiple access system and implemented conveniently in hardware, by means of different choices of the coefficient matrices.

Key words: Hadamard matrices, zero correlation zone, interleaving recursion, mutually orthogonal, coefficient matrices

CLC Number:

TN911.2

LIU Kai, YU Sai, LI Yu-bo, XU Cheng-qian. New Construction of Mutually Orthogonal Binary Sequence Sets with Zero Correlation Zone[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2012, 35(6): 30-33.

References

[1] Fan Pingzhi. Spreading sequence design and theoretical limits for quasisynchronous CDMA systems[J]. EURASIP Journal on Wireless Communications and Networking, 2004, 2004(1): 19-31.
[2] Deng Xinmin, Fan Pingzhi. Spread sequence sets with zero correlation zone[J]. Electron Lett, 2000, 36(11): 993-994.
[3] Hayashi T. A generalization of binary zero-correlation zone sequence sets constructed from hadamard matrices[J]. IEICE Trans Fundamentals, 2004, E87-A(1): 286-291.
[4] Torii H, Nakamura M, Suehiro N. A new class of zero-correlation zone sequences[J]. IEEE Trans Inf Theory, 2004, 50(3): 559-565.
[5] Hu Honggang, Gong Guang. New sequence families with zero or low correlation zone via interleaving techniques[J]. IEEE Trans Inf Theory, 2010, 56(4): 1702-1713.
[6] Tang Xiaohu, Fan Pingzhi, Matsufuji S. Lower bounds on the maximum correlation of sequence set with low or zero correlation zone[J]. Electron Lett, 2000, 36(6): 551-552.
[7] Rathinakumar A, Chaturvedi A K. Mutually orthogonal sets of ZCZ sequences[J]. Electron Lett, 2004, 40(18): 1133-1134.
[8] 曾祥勇, 程池, 胡磊, 等. 一类相互正交的零相关区序列集的构造[J]. 电子与信息学报, 2006, 28(12): 2347-2350. Zeng Xiangyong, Cheng Chi, Hu Lei, et al . Construction of mutually orthogonal sets of zero correlation zone sequences[J]. Journal of Electronics and Information Technology, 2006, 28(12): 2347-2350.
[9] Zeng Fanxin. New perfect polyphase sequences and mutually orthogonal ZCZ polyphase sequence sets[J]. IEICE Trans Fundamentals, 2009, E92-A(7): 1731-1736.
[10] Li Yubo, Xu Chengqian, Liu Kai. Construction of mutually orthogonal zero correlation zone polyphase sequence sets[J]. IEICE Trans Fundamentals, 2011, E94-A(4): 1159-1164.
[11] Zhang Zhenyu, Zeng Fanxin, Xuan Guixin. A class of complementary sequences with multi-width zero cross-correlation zone[J]. IEICE Trans Fundamentals, 2010, E93-A(8): 1508-1517.

New Construction of Mutually Orthogonal Binary Sequence Sets with Zero Correlation Zone

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 5

Recommended Articles

Metrics

Comments

[1]	. Construction Methods of ZCZ Punctured Sequence Pairs Set [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2011, 34(3): 17-20.
[2]	. Construction of ZCZ Sequence Pairs Set and ZCZ Sequence Pairs Set with Large Family Size [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2010, 33(5): 89-93.
[3]	Cheng-qian Xu. Binary Sequence Pair Sets with Zero Correlation Zone from Quadratic Difference Set and Difference Set Pair [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2009, 32(4): 50-53.
[4]	ZUO Hui-juan1,2, Tong Xin2 , WEN Qiao-yan2. Constructions of ZCZ Sequence Set from a Perfect Sequence [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2008, 31(4): 122-125.
[5]	BIE Zhisong,ZHANG Xiaolin,ZHANG Hanfeng,WU Weiling. Preamble Design for RACH and Research on Detection Algorithm in B3G systems [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2007, 30(4): 19-22.