Corrections to "Achieving AWGN Channel Capacity With Lattice Gaussian Coding"
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Lemma 1 in the above-titled paper [1] only holds for a center $\mathbf {c}=\mathbf {0}$
. Therefore, Lemma 1 and its preceding paragraph should be replaced by:
[1] Cong Ling,et al. Achieving AWGN Channel Capacity With Lattice Gaussian Coding , 2014, IEEE Transactions on Information Theory.