Optimal filter design for GFDM that minimizes PAPR under performance constraints

Generalized frequency division multiplexing (GFDM) is a promising candidate of the fifth generation of wireless communication systems. Though featuring low out-of-band (OOB) radiation and relaxed requirements of time and frequency synchronization, GFDM may suffer from high peak-to-average power ratio (PAPR), which degrades the performance of data transmission. To tackle the PAPR problem, we propose a novel prototype filter optimization algorithm for GFDM with the PAPR minimization toward GFDM data blocks and the characterization of GFDM systems, while maintaining the performance of OOB radiation and symbol error rate (SER). Simulation results show that the optimal filter can best strike a balance among PAPR, OOB radiation and SER, compared to orthogonal frequency division multiplexing (OFDM) systems and several prototype filters existing in the literature. The results also reveal a trade-off between the PAPR and OOB radiation.