Because of the high Peak to Average Power Ratio(PAPR) in Orthogonal Frequency Division Multiplexing(OFDM) system, a union algorithm for PAPR reduction, combined with modified Active Constellation Extension Smart Gradient-Project(ACE-SGP) algorithm and adaptive clipping algorithm, is proposed in this paper. First of all, an adaptive strategy is used to control the size of clipping level A. Secondly, a novel step factor m is adopted to complete iterative computations in order to increase the convergence speed greatly. Simulation results show that the modified algorithm has reduced the PAPR and improved the convergence speed significantly without side information and any processing at the receiver end.
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