Low complexity algorithm for PAPR reduction in GFDM system

In order to reduce the peak-to-average power ratio (PAPR) and the implementation complexity of generalized frequency division multiplexing (GFDM) system, the TSLM algorithm based on T-transform and selective mapping (SLM) was proposed.The design idea of the TSLM algorithm was to use the SLM algorithm to increase the number of GFDM time-domain alternative signals to reduce the PAPR, and to use the T-transform to realize the joint operation of the Walsh-Hadamard transform and the inverse discrete Fourier transform to reduce the complexity of the system.To further reduce the PAPR of the GFDM system, the TCSLM algorithm combining the TSLM algorithm and the conversion vector (CV) was proposed, and the CV vector was used to increase the number of GFDM time-domain alternative signals.The results show that when the number of subcarriers is 64, the number of sub symbols is 3 and the number of phase sequences is 2, compared with the SLM algorithm, the implementation complexity of the TSLM and TCSLM algorithm decreases by about 21.9% and 60.9%, respectively.When the complementary cumulative distribution function (CCDF) is 10-3, the PAPR of the TSLM and TCSLM algorithm decreases by about 0.6 dB and 1 dB, respectively.The error performance of the TSLM and the TCSLM algorithm is improved by about 2 dB when the bit error rate is 10-3.