Abstract

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.

Highlights

  • The initial deployment and standardization of 5G networks has recently emerged, while research in academia and industry has already made some first steps towards the beyond 5G (B5G)/6G-era [2]

  • For the analysis of the system in terms of outage probability, we model the evolution of the considered network as a state Markov chain (MC), by taking into account the transitions that take place at the buffers and the communication modes of the relays

  • The path loss exponent is equal to η = 2, the variance of the additive white Gaussian noise (AWGN) is normalized to σ2 = 1 and the energy of the channel coefficients is normalized to E |hi,j|2 = 1

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Summary

INTRODUCTION

The initial deployment and standardization of 5G networks has recently emerged, while research in academia and industry has already made some first steps towards the beyond 5G (B5G)/6G-era [2]. In [25], the on-off transmission policy for a buffer aided EH node was studied in terms of outage probability and average throughput, where the EH node transmits information only if the stored energy exceeds a certain value, otherwise it remains silent It is, an important and challenging problem to understand how the utilization of relaying nodes with different communication capabilities affects the performance of a multihop network with limited cooperation. An example of this topology is presented, for k = 2 hops and N = 3 relays

Channel model
Relay communication model
A k-HOP MYOPIC-BASED PROTOCOL
A STATE MARKOVIAN MODEL APPROACH
Definition of MC states
State transition matrix and stationary distribution
Diversity-multiplexing tradeoff
Multi-branch multi-hop network
NUMERICAL RESULTS
CONCLUSIONS
Proof of Lemma 1
Proof of Theorem 1
Proof of Theorem 2
Proof of Proposition 2
Full Text
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