Managing interference through space-time codes, lattice reduction and network coding

This paper studies the problem of providing a link between network coding and the signal space for interference management. The main idea is to find a correspondence at the relays, between the binary flows (at the network coding level) and the signal flows (at the physical layer), that is, to find a linear relation at the binary level that mimics the linear relation at the signal level. This has already been done but by neglecting the channel coefficients/matrices or considering some “perfect power control”. We show, in this paper how to find such a relation with any kind of channel by using an efficient channel quantization. As a corollary, such result can also be transposed to the so-called deterministic model of [1].