Optimal Balanced Almost 8-QAM Sequences with Three-Level Autocorrelation

Fanxin ZENG  Xiping HE  Guixin XUAN  Zhenyu ZHANG  Yanni PENG  Linjie QIAN  Li YAN  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E102-A    No.12    pp.1691-1696
Publication Date: 2019/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E102.A.1691
Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)
Category: Sequences
almost 8-QAM sequences,  balance sequences,  out-of-phase autocorrelation,  sidelobes,  cyclotomy,  

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Based on the number of cyclotomy of order eight, a class of balanced almost 8-QAM sequences with odd prime periods is presented. The resultant sequences have low two-level nontrivial autocorrelation values, and their distribution is determined. Furthermore, the smallest possible absolute sidelobes (SPASs) of autocorrelation functions of balanced almost 8-QAM sequences are derived. Compared with the obtained SPASs, some of the proposed sequences is optimal or suboptimal.