Abstract

This paper investigates the outage probability and rate performance of multi-hop full duplex (FD) and half duplex (HD) decode-and-forward (DF)-based relay networks. First of all, we derive new closed form equation for the end-to-end outage probability of multi-hop FDR system taking into account the inter-relay interference (IRI), i.e., interference caused by simultaneous transmissions by the nodes in non-orthogonal frequency bands, and the residual self-interference (RSI) present at the full duplex relay (FDR) nodes, in independent non-identical Nakagami-m fading channels. We also derive an approximate expression for the outage probability which is found to be highly accurate. Further, we provide an asymptotic expression as well, for Rayleigh fading channels. Furthermore, we derive exact and approximate expression for the outage probability of multi-hop spectral efficient HDR network that employ two-phase relaying. We then consider optimal power allocation (OPA) for multi-hop FDR and HDR networks that maximizes the end-to-end transmission rate with individual peak power constraint at the nodes. Since the optimization problem is non-convex, we develop an efficient, low-complex and fast-converging iterative algorithm for power allocation based on sequential convex programming. Secondly, we consider OPA for multi-hop FDR and HDR networks that minimizes the end-to-end outage probability with individual peak power constraints at the nodes. We devise geometric programming (GP) to obtain the OPA vector. The results demonstrate that OPA can significantly improve the outage and end-to-end rate performance of both FDR and HDR networks as compared to uniform power allocation policy. The results from the analytical model are validated by extensive Monte Carlo simulations.

Highlights

  • In multi-hop wireless relay networks, communication between the source node and destination node is facilitated with the help of a number of relay nodes in cascade [1, 2]

  • The results further demonstrate that optimal power allocation (OPA) can significantly improve the end-to-end outage performance and transmission rate of both half duplex relaying (HDR) and full duplex relaying (FDR) systems as compared to uniform power allocation (UPA) policy

  • 4 Optimal power allocation we address two power allocation problems that optimize the performance of multi-hop FDR and HDR systems

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Summary

Introduction

In multi-hop wireless relay networks, communication between the source node and destination node is facilitated with the help of a number of relay nodes in cascade [1, 2]. In conventional multi-hop relay networks, the relay nodes operate in half duplex mode. In [4], the authors analyzed the outage probability of dual-hop FDR system assuming Rayleigh fading environment. This model was extended to a multi-hop FDR system in [12], while the authors of [13] have considered a dual-hop FDR system in Nakagami-m fading channel. From the detailed survey of related work, it is observed that an exact closed-form analytical expression for the outage probability of multi-hop FDR system has not appeared in the literature so far considering Nakagami fading channels. It is observed that there are no results available for asymptotic outage probability considering Rayleigh/Nakagami fading channels

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