Constructions of ZCZ Sequence Set from a Perfect Sequence

doi:10.13190/jbupt.200804.122.021

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2008, Vol. 31 ›› Issue (4): 122-125.doi: 10.13190/jbupt.200804.122.021

• Reports • Previous Articles Next Articles

Constructions of ZCZ Sequence Set from a Perfect Sequence

ZUO Hui-juan1,2, Tong Xin2 , WEN Qiao-yan2

1. Institute of Mathematics and Information, Hebei Normal University, Shijiazhuang 050016,China; 2. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China)

Received:2007-12-16 Revised:1900-01-01 Online:2008-08-30 Published:2008-08-30
Contact: ZUO Hui-juan

Abstract

Abstract:

Two new methods for constructing zero correlation zone (ZCZ) sequence set from an arbitrary perfect sequence and unitary matrices are presented．The key of this method is to spread a perfect sequence by correlation product of the shift sequences set of the perfect sequence and corresponding unitary matrix. The new sequence sets are approximately optimal and optimal respectively with respect to the mathematical bound by using different choice of shift sequences set of perfect sequence．

Key words: perfect sequence, zero correlation zone sequence set, correlation product, unitary matrix

CLC Number:

TN918.1

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.

References

[1] 孙伟, 杨义先. GMW-几何序列的相关函数研究(一)[J]. 北京邮电大学学报, 1999, 22(2): 6-10. Sun Wei, Yang Yixian. Correlation function s of GMW-geometric sequences (1). Journal of Beijing University of Posts and Telecommunications, 1999, 22(2): 6-10.
[2] 孙伟, 杨义先. GMW-几何序列的相关函数研究(二)[J]. 北京邮电大学学报, 1999, 22(3): 44-49. Sun Wei, Yang Yixian. Correlation function s of GMW-geometric sequences (2). Journal of Beijing University of Posts and Telecommunications, 1999, 22(3): 44-49.
[3] Tang Xiaohu, Fan Pingzhi, Matsufuji S. Lower bounds on correlation of spreading sequence set with low or zero correlation zone[J]. IEEE Electron Lett, 2000, 36(6): 551-552.
[4] Deng Xinmin, Fan Pingzhi. Spreading sequences sets with zero correlation zone[J]. IEEE Electron Lett, 2000, 36(11): 993-994.
[5] Fan Pingzhi, Hao Li. Generalized orthogonal sequences and their applications in synchronous CDMA systerms[J]. IEICE Trans Fundamentals, 2000, E83-A: 2054-2069.
[6] Matsufuji S, Suehiro N, Kuroyanagi N, et al. Two types of polyphase sequence sets for approximately synchronized CDMA systems[J]. IEICE Trans Fundamentals, E86-A(1): 229-234.
[7] Torii H, Nakamura M, Suehiro N. A new class of zero correlation zone sequences[J]. IEEE Trans Theory, 2004, 50(3): 559-565.
[8] Peng Dayuan, Fan Pingzhi, Suehiro N. Construction of sequences with large zero correlation zone[J]. IEICE Trans Fundamentals, 2005, E88-A(11): 3256-3259.
[9] Fan Pingzhi, Suehiro N, Kuroyanagi N, et al. Class of binary sequences with zero correlation zone[J]. IEEE Electron Lett, 1999, 35(10): 777-779.
[10] 江文峰, 曾祥勇, 胡磊, 等. 一类零相关区序列集构造方法的改进[J]. 电子学报, 2005, 33(8): 1476-1479. Jiang Wenfeng, Zeng Xiangyong, Hu Lei, et al. An improved method for constructing ZCZ sequence sets[J]. Acta Electronic Sinaca, 2005, 33(8): 1476-1479.
[11] Takafumi H. Zero-correlation sequence set constructed from a perfect sequence[J]. IEICE Trans Fundamentals, 2007, E90-A(5): 1107-1111.
[12] Takafumi H. Zero-correlation sequence set onstruction using an even-perfect sequence and an odd-perfect sequence[J]. IEICE Trans Fundamentals, 2007, E90-A(9): 1871-1875.
[13] Takafumi H. Optimal zero-correlation sequence set constructed from a perfect sequence//Proceedings of the 7th IEEE International Conference on Computer and Information Technology. CIT: IEEE Computer Society, 2007: 475-479.
[14] Tang Xiaohu, Fan Pingzhi, Li Daoben, et al. Binary array set with zero correlation zone[J]. IEEE Electron Lett, 2001, 37(13): 841-842.

Constructions of ZCZ Sequence Set from a Perfect Sequence

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 5

Recommended Articles

Metrics

Comments

[1]	LIU Yuan-hui, XU Cheng-qian, ZHAO Bing. Constructions of Gaussian Integer Sequences of Degree-(p-1) [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2017, 40(1): 53-56.
[2]	ZHUANG Yu-feng, WANG Pin. Analysis on the Displacement Mechanism of Spatial Five-Link RCRCR [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2013, 36(3): 108-112.
[3]	. Construction Methods of ZCZ Punctured Sequence Pairs Set [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2011, 34(3): 17-20.
[4]	. 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.
[5]	ZHUO Ze-peng, XIAO Guo-zhen. CrossCorrelation Properties of Perfect Binary Sequences [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2010, 33(2): 78-81.