A PAPR upper bound of generalized waveforms for multi-carrier modulation systems

The most common way to study the Peak-to-average Power Ratio (PAPR) distribution is limited to a single Orthogonal Frequency Division Multiplexing (OFDM) symbol, therefore it does not reflect the exact value of the PAPR, since we have more than one OFDM symbol in practice. In this paper, we consider the Generalized Waveforms for Multi-Carrier (GWMC) modulation system which is based on any family of modulation functions, and we derive an upper bound of its PAPR. To the best of our knowledge, this is the first work that interprets the behavior of the Complementary Cumulative Distribution Function (CCDF) of the PAPR for different number of GWMC symbols, and presents an asymptotic study for an infinite number of GWMC symbols.