Construction of the Near Optimal PRT Set using the Cyclic Difference Set in TR Scheme

In the tone reservation (TR) scheme, it is known that the set of randomly selected peak reduction tones (PRT´s) performs better than the contiguous PRT set and the interleaved PRT set in the PAPR reduction of orthogonal frequency division multiplexing (OFDM) signals. It is also known that finding the optimal PRT set is equivalent to solving the secondary peak minimization problem in the TR scheme. However, this problem cannot be solved for the practical number of tones because choosing k tones out of N subcarriers requires O(k) computational complexity. In this paper, the near optimal PRT set of the TR scheme is proposed, which is constructed from the cyclic difference set.