A New Construction of Optimal LCZ Sequence Sets

Yubo LI  Chengqian XU  Kai LIU  Gang LI  Sai YU  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E95-A   No.9   pp.1646-1650
Publication Date: 2012/09/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E95.A.1646
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Communication Theory and Signals
quasi-synchronous CDMA (QS-CDMA),  ternary sequence,  p-ary sequence,  low-correlation zone (LCZ) sequence set,  

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In this correspondence, we devise a new method for constructing a ternary column sequence set of length 3m+1-1 form ternary sequences of period 3m-1 with ideal autocorrelation, and the ternary LCZ sequence set of period 3n-1 is constructed by using the column sequence set when (m+1)|n. In addition, the method is popularized to the p-ary LCZ sequence. The resultant LCZ sequence sets in this paper are optimal with respect to the Tang-Fan-Matsufuji bound.