Outage probability analysis and optimal transmit power allocation for multi-hop full duplex relay network over Nakagami-m fading channels

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 acc...

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Main Authors: Rambabu Katla, A. V. Babu
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:EURASIP Journal on Wireless Communications and Networking
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13638-018-1207-1
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author Rambabu Katla
A. V. Babu
author_facet Rambabu Katla
A. V. Babu
author_sort Rambabu Katla
collection DOAJ
description 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.
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spelling doaj.art-0630d0db500743e69447dfc4aa3be4c82022-12-22T03:20:22ZengSpringerOpenEURASIP Journal on Wireless Communications and Networking1687-14992018-08-012018111710.1186/s13638-018-1207-1Outage probability analysis and optimal transmit power allocation for multi-hop full duplex relay network over Nakagami-m fading channelsRambabu Katla0A. V. Babu1Department of Electronics and Communication Engineering, National Institute of Technology CalicutDepartment of Electronics and Communication Engineering, National Institute of Technology CalicutAbstract 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.http://link.springer.com/article/10.1186/s13638-018-1207-1Full duplex relayingDecode-and-forwardMulti-hop transmissionOutage probabilityNakagami-m fadingOptimal power allocation
spellingShingle Rambabu Katla
A. V. Babu
Outage probability analysis and optimal transmit power allocation for multi-hop full duplex relay network over Nakagami-m fading channels
EURASIP Journal on Wireless Communications and Networking
Full duplex relaying
Decode-and-forward
Multi-hop transmission
Outage probability
Nakagami-m fading
Optimal power allocation
title Outage probability analysis and optimal transmit power allocation for multi-hop full duplex relay network over Nakagami-m fading channels
title_full Outage probability analysis and optimal transmit power allocation for multi-hop full duplex relay network over Nakagami-m fading channels
title_fullStr Outage probability analysis and optimal transmit power allocation for multi-hop full duplex relay network over Nakagami-m fading channels
title_full_unstemmed Outage probability analysis and optimal transmit power allocation for multi-hop full duplex relay network over Nakagami-m fading channels
title_short Outage probability analysis and optimal transmit power allocation for multi-hop full duplex relay network over Nakagami-m fading channels
title_sort outage probability analysis and optimal transmit power allocation for multi hop full duplex relay network over nakagami m fading channels
topic Full duplex relaying
Decode-and-forward
Multi-hop transmission
Outage probability
Nakagami-m fading
Optimal power allocation
url http://link.springer.com/article/10.1186/s13638-018-1207-1
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