Lattice decoding can achieve 1/2 log(1+SNR) on the AWGN channel using nested codes
Uri Erez, Ram Zamir · 2002
We demonstrate that using dithering techniques the power constrained AWGN channel can be transformed into a module lattice additive noise channel, effectively increasing the SNR by one. This allows lattice decoding to be optimal for SNRs for which a pair of "good" nested lattices exist.