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Selected Mapping (SLM) is a promising technique dedicated to reduce the Peak-to-Average Power Ratio (PAPR) in OFDM systems. In this technique, different representations of OFDM symbols are generated by rotating the original frame using different phase sequences. Then, the signal having the minimum PAPR is selected and transmitted. To compensate the effect of the phase rotation at the receiver side, it is necessary to transmit the index of the selected phase sequence as an explicit Side Information (SI). In this paper, we propose a novel robust blind SLM technique that avoids sending any explicit (SI), where the selected signal index (SI) is embedded in the transmitted data by using an adequate transformation such as the Hadamard one. Furthermore, in order to recover the used (SI) index, we propose an optimized scheme which exploits mainly the higher-order statistics moments and cumulants of the …