New Constructions of Perfect 8-QAM+/8-QAM Sequences

Chengqian XU  Xiaoyu CHEN  Kai LIU  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E97-A    No.4    pp.1012-1015
Publication Date: 2014/04/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E97.A.1012
Type of Manuscript: LETTER
Category: Coding Theory
perfect sequence,  QAM+ constellation,  energy efficiency,  mapping,  

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This letter presents new methods for transforming perfect ternary sequences into perfect 8-QAM+ sequences. Firstly, based on perfect ternary sequences with even period, two mappings which can map two ternary variables to an 8-QAM+ symbol are employed for constructing new perfect 8-QAM+ sequences. In this case, the proposed construction is a generalization of the existing one. Then based on perfect ternary sequence with odd period, perfect 8-QAM sequences are generated. Compared with perfect 8-QAM+ sequences, the resultant sequences have no energy loss.