4.7 Article

A Markov Chain Approach for Myopic Multi-Hop Relaying: Outage and Diversity Analysis

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JSTSP.2021.3128810

Keywords

Relays; Protocols; Spread spectrum communication; Probability; Power system reliability; Diversity methods; Cooperative systems; Cooperative networks; multi-hop relaying; myopic strategy; outage probability; diversity-multiplexing tradeoff; Markov chain

Funding

  1. European Research Council (ERC) under European Union [819819]
  2. Marie Sklodowska-Curie Project PAINLESS under European Union's Horizon 2020 Research and Innovation Programme [812991]
  3. European Research Council (ERC) [819819] Funding Source: European Research Council (ERC)

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This paper investigates a cooperative protocol for a multi-hop network with relays of finite buffers, based on a myopic decode-and-forward strategy. The theoretical framework models the evolution of buffers and relay operations as a state Markov chain, analyzing performance in terms of outage probability and diversity-multiplexing tradeoff. Results show that the protocol outperforms conventional multi-hop relaying and performance depends on cooperation among neighboring nodes and communication models.
In this paper, a cooperative protocol is investigated for a multi-hop network consisting of relays with buffers of finite size, which may operate in different communication modes. The protocol is based on the myopic decode-and-forward strategy, where each node of the network cooperates with a limited number of neighboring nodes for the transmission of the signals. Each relay stores in its buffer the messages that were successfully decoded, in order to forward them through the appropriate channel links, based on its supported communication modes. A complete theoretical framework is investigated that models the evolution of the buffers and the transitions at the operations of each relay as a state Markov chain (MC). We analyze the performance of the proposed protocol in terms of outage probability and derive an expression for the achieved diversity-multiplexing tradeoff, by using the state transition matrix and the related steady state of the MC. Our results show that the proposed protocol outperforms the conventional multi-hop relaying scheme and the system's outage probability as well as the achieved diversity order depend on the degree of cooperation among neighboring nodes and the communication model that is considered for every relay of the network.

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