Reed-Muller Codes for Peak Power Control in Multicarrier CDMA

TL;DR

This paper explores the use of Reed-Muller codes to effectively control peak power in multicarrier CDMA systems, reducing PAPR and improving performance for small to moderate user numbers.

Contribution

It introduces a recursive construction of Reed-Muller subcodes for PAPR reduction in coded MC-CDMA, linking code rates to maximum PAPR theoretically and statistically.

Findings

Reed-Muller codes bound the PAPR of MC-CDMA signals.

Coded MC-CDMA significantly reduces PAPR compared to uncoded systems.

Effective for small and moderate numbers of users and subcarriers.

Abstract

Reed-Muller codes are studied for peak power control in multicarrier code-division multiple access (MC-CDMA) communication systems. In a coded MC-CDMA system, the information data multiplexed from users is encoded by a Reed-Muller subcode and the codeword is fully-loaded to Walsh-Hadamard spreading sequences. The polynomial representation of a coded MC-CDMA signal is established for theoretical analysis of the peak-to-average power ratio (PAPR). The Reed-Muller subcodes are defined in a recursive way by the Boolean functions providing the transmitted MC-CDMA signals with the bounded PAPR as well as the error correction capability. A connection between the code rates and the maximum PAPR is theoretically investigated in the coded MC-CDMA. Simulation results present the statistical evidence that the PAPR of the coded MC-CDMA signal is not only theoretically bounded, but also statistically reduced. In particular, the coded MC-CDMA solves the major PAPR problem of uncoded MC-CDMA by dramatically reducing its PAPR for the small number of users. Finally, the theoretical and statistical studies show that the Reed-Muller subcodes are effective coding schemes for peak power control in MC-CDMA with small and moderate numbers of users, subcarriers, and spreading factors.