On the Phase Sequences for Selected Mapping OFDM System

The peak to average power ratio (PAPR) distribution of orthogonal frequency division multiplexing (OFDM) symbol sequences is evaluated and it is shown that an OFDM symbol sequence with short period is expected to have high PAPR. The PAPR relationship of two input symbol sequences with Hamming distance D is also derived. Using these two results, we derive two conditions for the optimal phase sequence set of the selected mapping (SLM) OFDM system and propose rows of a cyclic Hadamard matrix constructed by an m-sequence as a near optimal phase sequence set for the SLM OFDM system, which has the best performance to reduce the PAPR of OFDM signals with small redundancy and no signal distortion.