Complementary sequences with quadrature amplitude modulation (QAM) symbols have important applications in OFDM communication systems. The objective of this paper is to present two constructions of 16-QAM complementary sequence sets of size 4. The first construction generates four complementary sequences of length L = 2^m− 1 + 2^v, where m and v are two positive integers with 1 ≤ v ≤ m − 1. The second one leads to four complementary sequences of length L = 2^m− 1 + 1. It turns out that the peak-to-mean envelope power ratios (PMEPRs) of constructed complementary sequence sets are upper bounded by 4.

中文翻译：

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非二次幂长度的16-QAM互补序列集的两种构造

具有正交幅度调制（QAM）符号的互补序列在OFDM通信系统中具有重要的应用。本文的目的是提出两个大小为4的16-QAM互补序列集的结构。第一个结构生成长度为L = 2 ^{m − 1} + 2 ^v的四个互补序列，其中m和v是两个正整数，且其值为1 ≤ v ≤米- 1。第二个引线长度四个互补序列大号= 2^{米- 1} +1。事实证明，构建的互补序列集的峰均包络功率比（PMEPR）上限为4。