PAPR Performance of IDFT-Based Uncoded OFDM Signals with Null Subcarriers and Transmit Filtering

In this paper, the peak-to-average power ratio (PAPR) is evaluated for the uncoded orthogonal frequency division multiplexing (OFDM) signals generated by using the IDFT procedure. The power spectral density of the transmitted OFDM signal is derived, taking into account the effects of cyclic prefix, windowing, digital-to-analog converter, null-subcarriers, and analog transmit filter. The PAPR distribution is then analyzed based on the extreme value theory. It is shown that the PAPR distribution is parameterized only by the length of the observation interval and the root mean square bandwidth of the signal, whose computation requires the PSD of the transmitted signal. Numerical results confirm that the proposed analysis accurately predicts the PAPR distribution of practical OFDM signals.