Abstract: |
Lattice network coding is employed in physical-layer network coding, with applications to two-way relay networks and multiple-access channels. The receiver wants to compute a linear combination of the source symbols, which are drawn from a finite alphabet equipped with some algebraic structure. In this talk, we construct lattice network codes from lattices such as the E8 lattice and the Barnes-Wall lattice, which have the best known packing density and shaping gain in dimension 8 and 16, respectively. Simulation results demonstrate that there is a significant performance gain in comparison to the baseline lattice network code with hyper-cube shaping. |