A General Construction of Sequences with Good Autocorrelation over the 16-QAM Constellation

Xuan ZHANG  Jing QIN  Qiaoyan WEN  Jie ZHANG  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E95-A   No.10   pp.1801-1805
Publication Date: 2012/10/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E95.A.1801
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Coding Theory
Keyword: 
16-QAM,  binary sequences,  interleaved sequences,  multiple sequences,  Gray mapping,  autocorrelation,  

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Summary: 
In this paper, we introduce a construction of 16-QAM sequences based on known binary sequences using multiple sequences, interleaved sequences and Gray mappings. Five kinds of binary sequences of period N are put into the construction to get five kinds of new 16-QAM sequences of period 4N. These resultant sequences have 5-level autocorrelation {0, ±8, ±8N}, where ±8N happens only once each. The distributions of the periodic autocorrelation are also given. These will provide more choices for many applications.