Odd Perfect Sequences and Sequence Sets with Zero Odd Correlation Zone over the 8-QAM+ Constellation

Yubo LI  Kai LIU  Chengqian XU  Gang LI  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E97-A   No.1   pp.425-428
Publication Date: 2014/01/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E97.A.425
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Information Theory
Keyword: 
odd perfect sequence,  Zero odd correlation zone (ZOCZ),  8-QAM+ constellation,  ternary odd perfect sequence,  

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Summary: 
In this letter, constructions of sequences with perfect odd autocorrelation and sequence sets with zero odd correlation zone (ZOCZ) over the 8-QAM+ constellation are presented. Based on odd perfect ternary sequences, odd perfect sequences and ZOCZ sequence sets over the 8-QAM+ constellation are constructed by using shift vectors and mappings. These odd perfect sequences and ZOCZ sequence sets over 8-QAM+ constellation can be used in communication systems to achieve high transmission data rate (TDR) and low interference.