Closed-form Approximations of the PAPR Distribution for Multi-Carrier Modulation Systems

Marwa Chafii (1) , Jacques Palicot (1) , Rémi Gribonval (2)

1 IETR - Institut d'Électronique et des Technologies du numéRique
2 PANAMA - Parcimonie et Nouveaux Algorithmes pour le Signal et la Modélisation Audio

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 continuous and discrete time PAPR. These equations allow us to directly find the expressions of the PAPR distribution for any particular family of modulation functions, and they can be applied to control the PAPR performance by choosing the appropriate functions.

Mots clés: Multi-Carrier Modulation (MCM); Distribution; Peak-to-Average Power Ratio (PAPR); Orthogonal Frequency Division Multiplexing (OFDM); Generalized Waveforms for Multi-Carrier (GWMC); Multi-Carrier Modulation (MCM).

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Marwa Chafii, Jacques Palicot, Rémi Gribonval. Closed-form Approximations of the PAPR Distribution for Multi-Carrier Modulation Systems. EUSIPCO 2014 - European Signal Processing Conference, Sep 2014, Lisbonne, Portugal. ⟨hal-01054126⟩