Families of Sequence Pairs with Zero Correlation Zone

Authors:
Shinya Matsufuji
Affiliations:
The author is with the Faculty of Engineering, Yamaguchi University, Ube-shi, 755--8611 Japan. E-mail: matsufuj@csse.yamagucih-u.ac.jp
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2006

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Abstract

A family of sequences with zero correlation zone, which is shortly called a ZCZ set, can provide CDMA system without co-channel interference nor influence of multipath. This paper presents two types of ZCZ sets of non-binary sequence pairs, which achieve the upper bound of family size for length and zero correlation zone. One, which is produced by use of a perfect complementary pair and an orthogonal code, can change zero correlation zone, while the upper bound is kept. The other, which is generated by use of a newly defined orthogonal pair and an orthogonal code, can offer such CDMA system as a binary ZCZ set seems to be used.