Channel quantization in order to realize interference alignment onto a lattice

Interference is usually viewed as an obstacle to communication in wireless networks, so we develop a new methodology to quantize the channel coefficients in order to realize interference alignment onto a lattice and our channel model is the same as the compute-And-forward strategy. In this new methodology, we describe a way to find a doubly infinite nested lattice partition chain for any dimension n = 2r-2, where r ≥ 3, and, for that, we make use of the binary cyclotomic field Q(ϵe2r ), with r ≥ 3. Thus, for the complex case, we develop the generalization to obtain such doubly infinite nested lattice partition chains in order to realize interference alignment onto a lattice. This new methodology used to solve the problem is original and can contributes greatly to the area, that is, it can be very useful in future developments.