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Optimal Relay-Subset Selection and Time-Allocation in Decode-and-Forward Cooperative Networks

2008/12/19 by Elzbieta Beres, Beres, Elzbieta, Raviraj Adve +1
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #Mobile Ad Hoc Networks #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.0812.3890

Submitted to IEEE Trans. on Wirless Comm., Dec. 19th 2008

arxiv created 2008/12/19 · openalex publication_date 2008/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the optimal relay-subset selection and transmission-time for a decode-and-forward, half-duplex cooperative network of arbitrary size. The resource allocation is obtained by maximizing over the rates obtained for each possible subset of active relays, and the unique time allocation for each set can be obtained by solving a linear system of equations. We also present a simple recursive algorithm for the optimization problem which reduces the computational load of finding the required matrix inverses, and reduces the number of required iterations. Our results, in terms of outage rate, confirm the benefit of adding potential relays to a small network and the diminishing marginal returns for a larger network. We also show that optimizing over the channel resources ensures that more relays are active over a larger SNR range, and that linear network constellations significantly outperform grid constellations. Through simulations, the optimization is shown to be robust to node numbering.

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