A Brief Proof of General QAM Golay Complementary Sequences in Cases I-III Constructions

Fanxin ZENG
Zhenyu ZHANG

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E98-A    No.10    pp.2203-2206
Publication Date: 2015/10/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E98.A.2203
Type of Manuscript: LETTER
Category: Information Theory
Golay complementary sequences (GCSs),  QAM constellation,  offset,  generalized Boolean function,  standard QPSK GDJ CSs,  

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By investigating the properties that the offsets should satisfy, this letter presents a brief proof of general QAM Golay complementary sequences (GCSs) in Cases I-III constructions. Our aim is to provide a brief, clear, and intelligible derivation so that it is easy for the reader to understand the known Cases I-III constructions of general QAM GCSs.