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This paper presents an efficient technique for reducing the bit error rate (BER) of orthogonal frequency-division multiplexing (OFDM) signals transmitted over nonlinear solid-state power amplifiers (SSPAs). The proposed technique is based on predicting the distortion power that an SSPA would generate due to the nonlinear characteristics of such devices. Similar to the selective-mapping or partial-transmit-sequence (PTS) schemes, the predicted distortion is used to select a set of phases that minimize the actual SSPA distortion. Simulation results confirmed that the signal-to-noise ratio that is required to obtain a BER of ~ 10-4 using the proposed technique is less by about 8 dB when it is compared to the standard PTS utilizing 16 partitions. Moreover, complexity analysis demonstrated that the proposed system offers a significant complexity reduction of about 60% compared to state-of-the-art methods.