The modulo-lattice channel: the key feature in precoding schemes

Precoding for transmission over channels with interference known at the transmitter is reviewed. In contrast to what is usually discussed in literature, precoding employing higher-dimensional lattice quantization for generating the transmit signal is assessed. It is shown that thereby the gap between low-complexity schemes using scalar modulo reductions and theoretical asymptotic results assuming hypothetical optimum quantization operations can be bridged. In this paper, capacity curves obtained from numerical calculations, and approximations to the capacity are provided for various lattices. Moreover, the role of appropriate scaling at transmitter and receiver is discussed in detail.