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Compute-and-Forward on a Multi-User Multi-Relay Channel

2014/09/04 by Mohieddine El Soussi, Soussi, Mohieddine El, Abdellatif Zaidi +3
Computer Science · Engineering · Mathematics · #Cooperative Communication and Network Coding #Energy Harvesting in Wireless Networks #FOS: Computer and information sciences #Information Theory (cs.IT) #Mobile Ad Hoc Networks #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1409.1427

openalex publication_date 2014/09/04 · arxiv created 2014/10/17 · arxiv updated 2014/10/20 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider a system in which multiple users communicate with a destination with the help of multiple half-duplex relays. Based on the compute-and-forward scheme, each relay, instead of decoding the users' messages, decodes an integer-valued linear combination that relates the transmitted messages. Then, it forwards the linear combination towards the destination. Given these linear combinations, the destination may or may not recover the transmitted messages since the linear combinations are not always full rank. Therefore, we propose an algorithm where we optimize the precoding factor at the users such that the probability that the equations are full rank is increased and that the transmission rate is maximized. We show, through some numerical examples, the effectiveness of our algorithm and the advantage of performing precoding allocation at the users. Also, we show that this scheme can outperform standard relaying techniques in certain regimes.

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