New Codes for OFDM with Low PMEPR

TL;DR

This paper introduces a new family of codes for OFDM that effectively control PMEPR, based on sequences from complementary sets and a generalized Reed--Muller code framework, offering a compact description suitable for larger block lengths.

Contribution

It presents a novel code construction for OFDM with low PMEPR using a new sequence family within a generalized Reed--Muller code, improving scalability and unifying previous methods.

Findings

New sequence family within complementary sets

Codes applicable to larger block lengths

Previous constructions are special cases of the new framework

Abstract

In this paper new codes for orthogonal frequency-division multiplexing (OFDM) with tightly controlled peak-to-mean envelope power ratio (PMEPR) are proposed. We identify a new family of sequences occuring in complementary sets and show that such sequences form subsets of a new generalization of the Reed--Muller codes. Contrarily to previous constructions we present a compact description of such codes, which makes them suitable even for larger block lengths. We also show that some previous constructions just occur as special cases in our construction.