Closed-form approximations of the peak-to-average power ratio distribution for multi-carrier modulation and their applications

Marwa Chafii, Jacques Palicot, Rémi Gribonval

Research output: Contribution to journalArticlepeer-review

Abstract

The theoretical analysis of the peak-to-average power ratio (PAPR) distribution for an orthogonal frequency division multiplexing (OFDM) system, depends on the particular waveform considered in the modulation system. In this paper, we generalize this analysis by considering the generalized waveforms for multi-carrier (GWMC) modulation system based on any family of modulation functions, and we derive a general approximate expression for the cumulative distribution function (CDF) of its PAPR, for both finite and infinite integration time. These equations allow us to directly find the expressions of the PAPR distribution for any particular functions and characterize the behaviour of the PAPR distribution associated with different transmission and observation scenarios. In addition to that, a new approach to formulating the PAPR reduction problem as an optimization problem, is presented in this study.

Original languageEnglish (US)
Article number121
Pages (from-to)1-13
Number of pages13
JournalEurasip Journal on Advances in Signal Processing
Volume2014
Issue number1
DOIs
StatePublished - 2014

Keywords

  • Distribution
  • Generalized waveforms for multi-carrier (GWMC)
  • Multi-carrier modulation (MCM)
  • Optimization
  • Orthogonal frequency division multiplexing (OFDM)
  • Peak-to-average power ratio (PAPR)

ASJC Scopus subject areas

  • Signal Processing
  • Hardware and Architecture
  • Electrical and Electronic Engineering

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