New statistical studies on OFDM-QAM peak-to-mean-envelope-power ratio

In this work, we study the statistical behavior of the peak-to-mean-envelope-power ratio (PMEPR) for orthogonal frequency-division multiplexing (OFDM) signals both theoretically and empirically. First, the relationship is mathematically established between the PMEPR upper-bound of OFDM-QPSK (quadrature phase-shift keying) sequences and the clipping probability for moderate sequence lengths n (i.e. n < 100). Then, the empirical study of the PMEPR distributions is carried out to rectify the preliminary theoretical results. Finally, we theoretically prove that the analysis for OFDM-QPSK sequences can be extended to OFDM-QAM (quadrature amplitude modulation) sequences as well.