Novel 16-QAM and 64-QAM Near-Complementary Sequences with Low PMEPR in OFDM Systems

TL;DR

This paper introduces novel constructions of 16-QAM and 64-QAM near-complementary sequences with low PMEPR for OFDM systems, enhancing code rate and reducing peak power.

Contribution

It presents the first proven construction of 64-QAM near-complementary sequences with low PMEPR, and improves 16-QAM sequences by utilizing nonlinear offsets.

Findings

16-QAM sequences have PMEPR ≤ 2.4

64-QAM sequences have PMEPR ≤ 3.62 or 2.48

Constructed sequences have large family sizes for high code rate

Abstract

In this paper, we firstly propose a novel construction of $16$-quadrature amplitude modulation (QAM) near-complementary sequences with low peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM) systems. The proposed $16$-QAM near-complementary sequences can be constructed by utilizing novel nonlinear offsets, where the length of the sequences is $n=2^m$. The family size of the newly constructed $16$-QAM near-complementary sequences is $8\times (\frac{m!}{2})\times 4^{m+1}$, and the PMEPR of these sequences is proven to satisfy ${\textrm{PMEPR}}\leq 2.4$. Thus, the proposed construction can generate a number of $16$-QAM near-complementary sequences with low PMEPR, resulting in the improvement of the code rate in OFDM systems. Furthermore, we also propose a novel construction of $64$-QAM near-complementary sequences with low PMEPR, which is the first proven construction of $64$-QAM near-complementary sequences. The PMEPRs of two types of the proposed $64$-QAM near-complementary sequences are proven to satisfy that ${\textrm{PMEPR}}\leq 3.62$ or ${\textrm{PMEPR}}\leq 2.48$, respectively. The family size of the newly constructed $64$-QAM near-complementary sequences is $64\times (\frac{m!}{2})\times 4^{m+1}$.