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

Special Section on Information Theory and Its Applications

Fanxin ZENG, Xiping HE, The Communication NCO Academy, Army Engineering University of PLA">Guixin XUAN, Zhenyu ZHANG, Yanni PENG, Linjie QIAN, Li YAN

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Keywords: almost 8-QAM sequences, balance sequences, out-of-phase autocorrelation, sidelobes, cyclotomy

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2019 Volume E102.A Issue 12 Pages 1691-1696

DOI https://doi.org/10.1587/transfun.E102.A.1691

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Abstract

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.

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