A new PAPR reduction scheme for OFDM signals based on GDFT signal processing theory

Peak-to-average-power ratio (PAPR) is a key design concern of an orthogonal frequency division multiplexing (OFDM) system as it determines the system's power efficiency. In this paper, we propose a PAPR reduction method for an OFDM system based on the Generalized Discrete Fourier Transform (GDFT) signal processing theory proposed by AH N. Akansu. GDFT is a generalized framework for DFT with nonlinear phase by exploiting the phase space. There are infinitely many possible GDFT sets available in the phase space with constant power where one can design the optimal basis for the desired figure of merit. Our proposed GDFT-OFDM combines the advantage of GDFT with the traditional OFDM system, providing a new way to solve the problem of PAPR reduction in OFDM system. In simulation results, the PAPR performance of GDFT-OFDM is proved to be well improved with different form of GDFT.