Achieving 1/2 log (1+SNR) on the AWGN channel with lattice encoding and decoding

@article{Erez2004Achieving1L,
  title={Achieving 1/2 log (1+SNR) on the AWGN channel with lattice encoding and decoding},
  author={Uri Erez and Ram Zamir},
  journal={IEEE Transactions on Information Theory},
  year={2004},
  volume={50},
  pages={2293-2314}
}
We address an open question, regarding whether a lattice code with lattice decoding (as opposed to maximum-likelihood (ML) decoding) can achieve the additive white Gaussian noise (AWGN) channel capacity. We first demonstrate how minimum mean-square error (MMSE) scaling along with dithering (lattice randomization) techniques can transform the power-constrained AWGN channel into a modulo-lattice additive noise channel, whose effective noise is reduced by a factor of /spl radic/(1+SNR/SNR). For… CONTINUE READING
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