On the existence of codes with constant bounded PMEPR for multicarrier signals

It has been shown that with probability one the peak to mean envelope power ratio (PMEPR) of any random codeword chosen from a symmetric QAM/PSK constellation is log n where n is the number of subcarriers (M. Sharif, et al., 2003). In this paper, the existence of codes with nonzero rate and PMEPR bounded by a constant is established.