AWGN-Goodness Is Enough: Capacity-Achieving Lattice Codes Based on Dithered Probabilistic Shaping

@article{Campello2019AWGNGoodnessIE,
  title={AWGN-Goodness Is Enough: Capacity-Achieving Lattice Codes Based on Dithered Probabilistic Shaping},
  author={Antonio Campello and Daniel Dadush and Cong Ling},
  journal={IEEE Transactions on Information Theory},
  year={2019},
  volume={65},
  pages={1961-1971}
}
  • Antonio Campello, Daniel Dadush, Cong Ling
  • Published 2019
  • Computer Science, Mathematics
  • IEEE Transactions on Information Theory
  • In this paper, we show that any sequence of infinite lattice constellations which is good for the unconstrained Gaussian channel can be shaped into a capacity-achieving sequence of codes for the power-constrained Gaussian channel under lattice decoding and non-uniform signaling. Unlike previous results in the literature, our scheme holds with no extra condition on the lattices (e.g., quantization-goodness or vanishing flatness factor), thus establishing a direct implication between AWGN… CONTINUE READING

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