Upper Bounds on Achievable PMEPR through Subcarrier Sign Selection

In this paper, we derive two classes of upper bounds on the achievable peak-to-mean envelope power ratio (PMEPR) of multicarrier signals, using codes with rate 1-log_q(2) over a symmetric q-ary constellation. These bounds, derived by applying moment and exponential Markov inequalities of different orders to the derandomization algorithm for subcarrier sign adjustment, prove the existence of classes of codes with good PMEPR and fixed rate loss. For instance, in a multicarrier system with n = 512 subcarriers, we show that there exists a code with rate loss log_q(2) and PMEPR less than 11.95 dB, while the PMEPR of the uncoded system is 27.1 dB, i.e. an improvement of 15.15 dB.