I. Introduction
Orthogonal frequency-division multiplexing (OFDM) signals suffer from the serious drawback of high peak-to-average power ratio (PAPR). Among all the existing techniques that have been proposed to reduce the PAPR in OFDM systems, selected mapping (SLM) [1]– [6] is among the most attractive ones due to its high performance without signal distortion. However, it requires the transmission of critical side information (SI) for correct data decoding at the receiver. The SI, which is the index of the selected phase rotation vector, is traditionally transmitted as several SI bits for every OFDM symbol. In practice, channel coding must be applied to protect the SI since an erroneous detection of the SI will corrupt a whole received OFDM symbol. This further reduces the data rate, makes the system more complex, and increases the transmission delay [7].