Labeling diversity of the superposition coding modulation (SCM) of dual-carrier modulation (DCM) of a coded orthogonal frequency-division multiplexed (COFDM) signal is used to reduce its peak-to-average-power ratio (PAPR). The reduction of data throughput owing to DCM is compensated for by squaring the number of lattice points in SCM mappings of the quadrature amplitude modulation (QAM) of the carriers of the COFDM signal. The labeling diversity can be such as to minimize PAPR or such as to reduce PAPR less, but improve signal-to-noise (SNR) for reception of the COFDM signal transmitted via an additive-white-Gaussian-noise (AWGN) channel.