Construction of Capacity-Achieving Lattice Codes: Polar Lattices

  title={Construction of Capacity-Achieving Lattice Codes: Polar Lattices},
  author={Yanfei Yan and Ling Liu and Cong Ling and Xiaofu Wu},
In this paper, we propose a new class of lattices constructed from polar codes, namely polar lattices, to achieve the capacity 1 2 log(1+ SNR) of the additive white Gaussian-noise (AWGN) channel for any signal-to-noise ratio (SNR). Our construction follows the multilevel approach of Forney et al., where on each level we construct a capacityachieving polar code. The component polar codes are natural ly nested, thereby fulfilling the requirement of the multilevel lattice construction. We prove… CONTINUE READING
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