Section: New Results

Activities on Waveform Design for Telecommunications

Peak to Average Power Ratio (PAPR), Orthogonal Frequency Division Multiplexing (OFDM), Generalized Waveforms for Multi Carrier (GWMC), Adaptive Wavelet Packet Modulation (AWPM)

Multi-carrier waveform systems with optimum PAPR

Participant : Rémi Gribonval.

Main collaboration: Marwa Chafii, Jacques Palicot, Carlos Bader (SCEE team, CentraleSupelec, Rennes)

In the context of the TEPN (Towards Energy Proportional Networks) Comin Labs project (see Section 9.1.1.2), in collaboration with the SCEE team at Supelec (thesis of Marwa Chafii [63], defended in October 2016 and co-supervised by R. Gribonval, and awarded with the GDR ISIS/GRETSI/EEA thesis prize, see Section 5.1.1), we investigated a problem related to dictionary design: the characterization of waveforms with low Peak to Average Power Ratio (PAPR) for wireless communications. This is motivated by the importance of a low PAPR for energy-efficient transmission systems.

A first stage of the work consisted in characterizing the statistical distribution of the PAPR for a general family of multi-carrier systems, [67], [65], [66]. We characterized waveforms with optimum PAPR [68], [64] as well as the tradeoffs between PAPR and Power Spectral Density properties of a wavelet modulation scheme [70]. Our design of new adaptive multi-carrier waveform systems able to cope with frequency-selective channels while minimizing PAPR gave rise to a patent [69] and was published this year [22], [13].