Tone reservation scheme based on |u|u + v| construction for PAPR reduction in OFDM systems

Orthogonal frequency division multiplexing (OFDM) is a popular transmission technique used in wireless communication systems. However, OFDM has deficiencies that must be improved, including a high peak-to-average power ratio (PAPR) in the transmission signal. The tone reservation (TR) scheme is an efficient PAPR reduction method used in OFDM systems. Although the TR scheme can achieve good PAPR performance, it does not have inherent error correction capability and requires extra channel coding to counteract the detrimental effect of channel interference. This paper proposes a TR scheme based on the |u|u+v| construction of Reed-Muller (RM) codes to reduce the PAPR of OFDM signals. The proposed TR-RM scheme uses the |u|u+v| construction to divide the RM code into the direct sum of a correcting subcode for encoding information bits and a scrambling subcode for assigning the number of peak reduction tones (PRTs). Numerical results show that the TR-RM scheme achieves better performance in PAPR reduction than the conventional TR scheme. The TR-RM scheme also has better error correction capability than the conventional TR scheme.