16-QAM Sequences with Zero Correlation Zone from the Known Binary ZCZ Sequences and Gray Mapping

Fanxin ZENG  Xiaoping ZENG  Zhenyu ZHANG  Guixin XUAN  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E94-A   No.11   pp.2466-2471
Publication Date: 2011/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.2466
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Information Theory
16-QAM sequence,  zero correlation zone (ZCZ),  binary sequence,  Gray mapping,  theoretical bound,  

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The approximately synchronized code-division multiple-access (CDMA) communication system, using the QAM sequences with zero correlation zone (ZCZ) as its spreading sequences, not only can remove the multiple access interference (MAI) and multi-path interference (MPI) synchronously, but also has a higher transmission data rate than the one using traditional ZCZ sequences with the same sequence length. Based on Gray mapping and the known binary ZCZ sequences, in this letter, six families of 16-QAM sequences with ZCZ are presented. When the binary ZCZ sequences employed by this letter arrive at the theoretical bound on the binary ZCZ sequences, and their family size is a multiple of 4 or 2, two of the resultant six 16-QAM sequence sets satisfy the bound referred to above as well.