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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
Publication Date: 2019/12/01
Online ISSN: 1745-1337
Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)
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.