Corrections to "Achieving AWGN Channel Capacity With Lattice Gaussian Coding"

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.