On the Peak-to-Average Power Ratio of Pre-Equalized OFDM Based on Base-Field Hartley Transform

We show by the analytical and simulation results that pre-equalized OFDM based on base-field Hartley transform (BHT-OFDM) provides significantly better PAPR performance than conventional OFDM systems. We develop a tractable analytical closed-form expression of the statistical distribution of PAPR of pre-equalized BHT-OFDM based on correlated multivariate Rayleigh distributions and verify the result with comprehensive simulation studies. Comparisons show that the analytical and simulation results are consistent. Our study suggests that preequalized BHT-OFDM is not only favorable due to its inherent error correction capability but is also highly recommendable for its superiority in energy efficiency for future wireless communication systems.