Peak-to-Mean Envelope Power Ratio Statistical Analysis of Continuous OFDM Signal

Peak-to-mean envelop power ratio (PMEPR) statistical analysis in continuous OFDM context is addressed. After having precisely defined this term which characterizes OFDM signal fluctuations, first statistical order derivation of PMEPR from two already developed distribution functions for continuous base-band OFDM signals is proposed. In literature, one of these two functions is simulation based and lacks any theoretical justifications. It is demonstrated that first statistical order of these two distributions is almost same which provides the analytical justification of the correctness of the simulation based distribution function. Moreover, it has been revealed that the second statistical order of the PMEPR valid for an oversampling factor of one (discrete signal), could also be adopted for continuous signals. PMEPR distribution function associated with continuous OFDM signal is proposed.