Root-Raised Cosine filter influences on PAPR distribution of single carrier signals

This article addresses a theoretical analysis of the Peak to Average Power Ratio (PAPR) of single carrier modulations when Root-Raised Cosine (RRC) filters are considered. It is shown that two different behaviors occur for RRC filters when PAPR is derived, depending on the roll off factor, greater or not than a value around 0.4. This analysis leads to an upper bound of the PAPR. Then, the influence of some parameters on the PAPR is analyzed, as the roll off, the filter length, the oversampling or the number of symbols. This study shows that PAPR distribution of single carrier signals weighted by a RRC filter is mainly influenced by the roll off factor, what has to be considered for efficient high power amplification.