Two-unicast two-hop interference network: Finite-field model

Song-Nam Hong, Giuseppe Caire · 2013

In this paper we present a novel framework to convert the K-user linear deterministic multiple access channel (MAC) over Fpminto a K-user MAC over ground field Fpwith m multiple inputs/outputs (MIMO). This framework makes it possible to develop coding schemes for MIMO channels as done in symbol extension for time-varying channels. Using aligned network diagonalization based on this framework, we show that the sum-rate of (2m - 1)log p is achievable for a 2 × 2 × 2 interference channel over Fpm, under certain conditions on channel coefficients. We also provide some interesting relation between field extension and symbol extension.

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