A Family of New 16-QAM Golay Complementary Sequences without Higher PEP Upper Bounds

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

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E103-A   No.2   pp.547-552
Publication Date: 2020/02/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2019EAL2099
Type of Manuscript: LETTER
Category: Information Theory
Keyword: 
complementary sequence pair,  16-QAM constellation,  generalized Boolean function,  peak envelope power,  binary signal,  

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Summary: 
In an OFDM communication system using quadrature amplitude modulation (QAM) signals, peak envelope powers (PEPs) of the transmitted signals can be well controlled by using QAM Golay complementary sequence pairs (CSPs). In this letter, by making use of a new construction, a family of new 16-QAM Golay CSPs of length N=2m (integer m≥2) with binary inputs is presented, and all the resultant pairs have the PEP upper bound 2N. However, in the existing such pairs from other references their PEP upper bounds can arrive at 3.6N when the worst case happens. In this sense, novel pairs are good candidates for OFDM applications.