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FISTA-Based PAPR Reduction Method for Tone Reservation’s OFDM System

One of the major drawbacks of orthogonal frequency division multiplexing (OFDM) signals is the high peak to average power ratio (PAPR) of the transmitted signal. Among many PAPR reduction techniques proposed in the literature, tone reservation (TR) technique has received much attention. In TR some reserved subcarriers are used to generate a peak-cancelled signal to reduce the PAPR of the time domain OFDM signal. However, obtaining an optimized peak-cancelled signal is a quadratically constrained quadratic program, which has a prohibitively computational cost. In this letter, a novel method based on fast iterative shrinkage-thresholding algorithm (FISTA) is proposed to solve the optimal peak-cancelled signal. Simulation results show that the FISTA algorithm not only reduces the PAPR significantly, but also gets the better bit error ratio.