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

Xuan ZHANG; Jing QIN; Qiaoyan WEN; Jie ZHANG

doi:10.1587/transfun.E95.A.1801

Regular Section

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

Xuan ZHANG, Jing QIN, Qiaoyan WEN, Jie ZHANG

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Keywords: 16-QAM, binary sequences, interleaved sequences, multiple sequences, Gray mapping, autocorrelation

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2012 Volume E95.A Issue 10 Pages 1801-1805

DOI https://doi.org/10.1587/transfun.E95.A.1801

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Abstract

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.

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