Voronoi Shaping for Lattices with Efficient Encoding

In this letter, we propose a Voronoi shaping method for shaping lattices, $\Lambda _{s}$ , and coding lattices, $\Lambda _{c}$ , satisfying $\Lambda _{s} \subseteq \textbf {K}\mathbb {Z}^{n} \subseteq \Lambda _{c} \subseteq \mathbb {Z}^{n}$ , with K being an integer diagonal matrix. This assumption is easily satisfied for lattices obtained from error-correcting codes. For these lattices, using ...