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Generalised precoding method for PAPR reduction with low complexity in OFDM systems

High peak-to-average power ratio (PAPR) is one of the major drawbacks of orthogonal frequency-division multiplexing (OFDM) systems. The precoding method is famous for providing a flexible way to reduce PAPR efficiently via adjustable precoding matrix (PM) but it also leads to high computational complexity. This study proposes a generalised precoding method that uses a generalised PM to provide a flexible scheme to generate precoded data with low PAPR and complexity. As compared to the OFDM system, the proposed generalised precoding OFDM systems achieve close bit-error ratio (BER) performance with lower PAPR reduction. Moreover, the BER performance of generalised precoding-based OFDM system is superior to that of OFDM system at low signal-to-noise ratio. The well known single-carrier frequency-division multiple access is a special case of discrete Fourier transform (DFT)-based generalised precoding method; therefore, the proposed method is promising in OFDM systems for achieving low PAPR and complexity with better BER performance.