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Reed-Muller codes are studied for peak power control in multicarriercode-division multiple access (MC-CDMA) communication systems. In a codedMC-CDMA system, the information data multiplexed from users is encoded by aReed-Muller subcode and the codeword is fully-loaded to Walsh-Hadamardspreading sequences. The polynomial representation of a coded MC-CDMA signal isestablished for theoretical analysis of the peak-to-average power ratio (PAPR).The Reed-Muller subcodes are defined in a recursive way by the Booleanfunctions providing the transmitted MC-CDMA signals with the bounded PAPR aswell as the error correction capability. A connection between the code ratesand the maximum PAPR is theoretically investigated in the coded MC-CDMA.Simulation results present the statistical evidence that the PAPR of the codedMC-CDMA signal is not only theoretically bounded, but also statisticallyreduced. In particular, the coded MC-CDMA solves the major PAPR problem ofuncoded MC-CDMA by dramatically reducing its PAPR for the small number ofusers. Finally, the theoretical and statistical studies show that theReed-Muller subcodes are effective coding schemes for peak power control inMC-CDMA with small and moderate numbers of users, subcarriers, and spreadingfactors.

Reed-Muller Codes for Peak Power Control in Multicarrier CDMA