Joint optimization of peak-to-average power ratio and spectral leakage in 5G multicarrier waveforms

High peak-to-average-power ratio (PAPR) and spectral leakage are two main drawbacks of multicarrier systems, such as in orthogonal frequency division multiplexing (OFDM), in future 5G wireless communications. For generating optimized waveforms for 5G communications, this paper proposes an iterative scheme combining time-domain N-continuous OFDM (TD-NC-OFDM) and serial peak cancellation (SPC). Based on the theory of projection onto convex sets (POCS), the effectiveness of the proposed scheme is proved, and the optimized time-frequency domain multicarrier waveforms are analyzed in terms of a balanced tradeoff between out-of-band spectral leakage and PAPR. Both theoretical analysis and simulation results show that the proposed scheme can jointly optimize both the PAPR and out-of-band radiation, with moderate computational complexity.