Trellis Shaping with Flexible Control of Peak and Average Power for Single-Carrier High-Order QAM

We extend our trellis shaping approach of reducing peak-to-average power ratio (PAR) of single-carrier PSK systems to high-order quadrature amplitude modulations (QAMs). Simulation results show that, with only one-bit redundancy per transmitted symbol, significant PAR reduction can be achieved. For example, band-limited transmission with PAR below 3 dB can be achieved with a square 64-QAM after pulse shaping with a roll off factor of as low as 0.1. Furthermore, the newly developed shaping metric offers a capability of simultaneously reducing the average power. The reduction of the PAR and average power can be flexibly controlled by adjusting a parameter associated with the shaping metric.