PAPR Reduction in OFDM Systems Using Constellation Shaping

This work considers the problem of Peak to Average Power Ratio (PAPR) reduction in an Orthogonal Frequency Division Multiplexing system. We design a cubic constellation, called Hadamard constellation, whose boundary is along the bases defined by the Hadamard matrix in the transform domain and then we further reduce the PAPR by applying the Selective Mapping technique. The encoding algorithm is based on a decomposition known as Smith Normal Form and has a minimal complexity. The proposed scheme significantly outperforms the other PAPR reduction techniques reported in the literature (offering about to lower PAPR compared to some recent techniques without any additional cost in terms of energy and/or spectral efficiency) and has a small computational complexity.