A polynomial phasing scheme to realize minimum crest factor for multicarrier transmission

High peak-to-average power ratio (PAPR) in multi-carrier systems such as OFDM can significantly reduce power efficiency and performance. Existing methods to mitigate this problem are known in three major categories, i.e. clipping /filtering, convex optimisation and stochastic approach. In this paper, a polynomial phasing scheme is proposed to achieve maximum P APR reduction for a multicarrier OFDM signal. Using this scheme, each subcarrier phase is adjusted by a polynomial function of the subcarrier index. The coefficients of such polynomial function can be determined at the transmitter by a search method, and can be conveyed using existing pilot tones. The scheme promising maximum P APR reduction with no distortion to the spectral mask or loss in data rate requires little change to existing OFDM standards.