Systematic reducing the PAPR of OFDM by cyclic coding

This paper presents a new systematic method that combines parity check and cyclic coding technology to reduce the peak to mean envelope power ratio (PMEPR) of multicarrier transmission system. According our study, this new systematic method is much efficient than detail search method to find a set of good code word. The first procedure of the proposed method is to use parity check technology to reduce the peak power by more than half and generate a set of M-ary code words. The second procedure is to create a polynomial generator matrix from Galois fields, and than using a linear code set, multiplied by the matrix, to generate an m-ary cyclic codes set. Finally, the m-ary set of cyclic code is mapped into an M-ary set of cyclic codes to produce final PEP distribution. The results of this mapping reveal that PMEPR is reduced. We simulate this new method by the specific example of an eight-carriers multicarrier transmission system.