Closed-form approximations of the PAPR distribution for Multi-Carrier Modulation systems

Author

Chafii, Marwa ; Palicot, Jacques ; Gribonval, Remi

Author_Institution

IETR, SUPELEC, Cesson-Sévigné, France

fYear

2014

fDate

1-5 Sept. 2014

Firstpage

1920

Lastpage

1924

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 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.

Keywords

OFDM modulation; statistical distributions; GWMC modulation; OFDM system; PAPR distribution; closed form approximation; continuous time papr; cumulative distribution function; discrete time papr; generalized waveforms for multicarrier modulation; multicarrier modulation systems; orthogonal frequency division multiplexing; peak-to-average power ratio distribution; Approximation methods; Frequency division multiplexing; Modulation; Peak to average power ratio; Prototypes; Wavelet transforms; Distribution; Generalized Waveforms for Multi-Carrier (GWMC); Multi-Carrier Modulation (MCM); Orthogonal Frequency Division Multiplexing (OFDM); Peak-to-Average Power Ratio (PAPR);

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing Conference (EUSIPCO), 2014 Proceedings of the 22nd European

Conference_Location

Lisbon

Type

conf

Filename

6952704