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The goal of this paper is to establish the rate region of a wireless multi-hop, one-sender, two-receiver transmission chain. The authors examine and evaluate the advantages of utilizing directional antennas in this context. In particular, they consider a two-dimensional communication network with a single source node S, two destination nodes D1, D2, and 2 X (N - 1) intermediate nodes placed equidistantly between them. Multi-hop transmission is an extension of single-hop transmission that can take advantage of the reduced attenuation between closely spaced relay nodes, as well as the opportunity of spatial reuse. In two-dimensional multi-hop half-duplex transmission, each node utilizes capacity-achieving point-to-point codes to forward the most recently decoded message to its nearest neighbor in the direction of D1 or D2.
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