A Necessary Condition for Designing Waveforms with better PAPR than OFDM

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

This paper analyses the behaviour of the peak-to-average power ratio (PAPR) in multi-carrier modulation (MCM) systems regarding to the modulation waveform. The study gives a necessary condition of improving the PAPR performance compared with the conventional orthogonal frequency division multiplexing (OFDM) system based on Fourier transform and rectangular filter. In addition, we show in which conditions on the waveform, OFDM is optimal in terms of PAPR performance, and we define an infinite family of optimal MCM systems for the given modulation conditions. To illustrate our results, we present simulations of the PAPR behaviour for different MCM systems.

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

Domaines: Sciences de l'ingénieur [physics]

Marwa Chafii, Jacques Palicot, Rémi Gribonval. A Necessary Condition for Designing Waveforms with better PAPR than OFDM. 2015. ⟨hal-01128714v2⟩