Algebraic Polar Lattices for Fast Fading Channels

Polar lattices have been recently proposed to achieve the egodic capacity of i.i.d. fading channels. In this paper, we further improve the performance of polar lattices by using algebraic tools while keeping quasilinear encoding and decoding complexity. We focus on the design of polar lattices in the case of unlimited transmission power. The lattice Gaussian shaping technique can be applied to satisfy the power constraint.