A New Proposed Peak-to-Average Power Reduction Parameter to Evaluate SLM and PTS as OFDM PAPR Reduction Schemes

Abstract — Two techniques of the most known ones for peak to average power ratio (PAPR) reduction of orthogonal frequency division multiplexing (OFDM) are selected mapping (SLM) and partial transmit sequence (PTS). Both schemes were proposed as distortion less PAPR reduction algorithms. However, it has been an argument to prove which scheme is the most efficient. In this paper, we propose a new PAPR reduction efficiency parameter which will be applied on the complementary cumulative distribution function (CCDF) of each technique to compare the results. We show as well how the performance of the system reacts when increasing the probability of getting high PAPR values. Using the proposed efficiency formula, we show that PTS system performance improves when increasing the probability, whereas the SLM system performance gets impaired when increasing the probability within the same range. Keywords—Orthogonal frequency division multiplexing (OFDM); Peak to average power ratio (PAPR); Complementary cumulative distribution function (CCDF); Selected mapping (SLM); Partial transmit sequences(PTS). I