Channel Coding for Interference Alignment Onto a Lattice for Real-Valued Channels

Abstract

 Interference is usually viewed as an obstacle to communication in wireless networks, so we developed a new methodology to quantize the channel coefficients in order to realize in- terference alignment onto a lattice. Our channel model is the same as the compute-and-forward strategy.  In this work, we suppose that our interference channel is real-valued and we describe a way to find a nested lattice partition chain, for any dimension n = 2r−2, where r ≥ 3, in order to quantize the channel coefficients.  For that, we make use of the maximal real subfield K of L = Q(ξ2r ), where r ≥ 3, ξ = ξ2r   is the 2r -th root of unity and K = Q(θ), with θ = ξ + ξ−1.