16-QAM Sequences with Good Periodic Autocorrelation Function

Fanxin ZENG  Yue ZENG  Lisheng ZHANG  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.1697-1700
Publication Date: 2019/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E102.A.1697
Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)
Category: Sequences
16-QAM sequences,  periodic autocorrelation function,  smallest possible absolute sidelobe,  quaternary sequences,  

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Sequences that attain the smallest possible absolute sidelobes (SPASs) of periodic autocorrelation function (PACF) play fairly important roles in synchronization of communication systems, Large scale integrated circuit testing, and so on. This letter presents an approach to construct 16-QAM sequences of even periods, based on the known quaternary sequences. A relationship between the PACFs of 16-QAM and quaternary sequences is established, by which when quaternary sequences that attain the SPASs of PACF are employed, the proposed 16-QAM sequences have good PACF.