Efficient initialisation of lattice multicarrier modulation

Recently, a novel transmission technique was proposed for delay-spread channels that guarantees a low peak-to-average power ratio while also having low computational complexity. In this paper, we extend the technique to systems where the symbol length or number of parallel channels is large, such as in very high speed digital subscriber line (VDSL) or multiple-input multiple-output (MIMO) systems respectively. While operational complexity is low, the computational cost of initialisation in a VDSL or MIMO channel appears, at first sight, to be prohibitive. We show that initialisation can be carried out efficiently. Having so enabled the technique, we present simulation results in a MIMO-VDSL environment which demonstrate its superiority in comparison to other popular techniques such as V-DMT and DMMT when clipping in the transmit power amplifier is a dominant consideration