Peak-to-average power ratio reduction in OFDM systems by the adaptive projected subgradient method

One of the main drawbacks of the OFDM modulation is the high peak-to-average power ratio (PAPR) of the transmitted signal. In this study, we devise a low-complexity transmitter that mitigates the PAPR problem and satisfies multiple requirements of a given system, such as error vector magnitude (EVM) constraints, minimum transmitted power of the data symbols, among others. To reduce the PAPR, we use the adaptive projected subgradient method to suppress a sequence of convex cost functions over closed convex sets describing desired properties of the transmitted signal. Numerical examples show that the proposed scheme reduces the PAPR to reasonable levels with few iterations.