Outage probability analysis of multi-relay delay-limited hybrid-ARQ channels

Behrouz Maham; Are Hjørungnes; Mérouane Debbah

doi:10.1109/VETECF.2010.5594138

Outage probability analysis of multi-relay delay-limited hybrid-ARQ channels

Behrouz Maham, Are Hjørungnes, Mérouane Debbah

Department of Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

7 Citations (Scopus)

Abstract

We consider a wireless relay network with with hybrid-automatic retransmission request (HARQ) and Rayleigh fading channels. In this paper, we analyze the outage probability of the multi-relay delay-limited HARQ system with opportunistic relaying scheme in decode-and-forward mode. A simple and distributed relay selection strategy is proposed for multi-relay HARQ channels. Then, we analyze the performance of the system. We first derive the cumulative density function (CDF) and probability density function (PDF) of the selected relay channels. Then, the CDF and PDF are used to determine the outage probability in the l-th round of HARQ. The packet delay constraint is represented by L, the maximum number of HARQ rounds. Furthermore, closed-form upper-bounds on outage probability are derived, which are used to investigate the diversity order of the system. Based on the derived upper-bound expressions, it is shown that the proposed schemes achieve the full spatial diversity order of N + 1, where N is the number of potential relays. Our analytical results are confirmed by simulation results.

Original language	English
Title of host publication	2010 IEEE 72nd Vehicular Technology Conference Fall, VTC2010-Fall - Proceedings
DOIs	https://doi.org/10.1109/VETECF.2010.5594138
Publication status	Published - Dec 1 2010
Event	2010 IEEE 72nd Vehicular Technology Conference Fall, VTC2010-Fall - Ottawa, ON, Canada Duration: Sep 6 2010 → Sep 9 2010

Publication series

Name	IEEE Vehicular Technology Conference
ISSN (Print)	1550-2252

Other

Other	2010 IEEE 72nd Vehicular Technology Conference Fall, VTC2010-Fall
Country	Canada
City	Ottawa, ON
Period	9/6/10 → 9/9/10

ASJC Scopus subject areas

Computer Science Applications
Electrical and Electronic Engineering
Applied Mathematics

Access to Document

10.1109/VETECF.2010.5594138

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Cite this

Maham, B., Hjørungnes, A., & Debbah, M. (2010). Outage probability analysis of multi-relay delay-limited hybrid-ARQ channels. In 2010 IEEE 72nd Vehicular Technology Conference Fall, VTC2010-Fall - Proceedings [5594138] (IEEE Vehicular Technology Conference). https://doi.org/10.1109/VETECF.2010.5594138

Maham, B, Hjørungnes, A & Debbah, M 2010, Outage probability analysis of multi-relay delay-limited hybrid-ARQ channels. in 2010 IEEE 72nd Vehicular Technology Conference Fall, VTC2010-Fall - Proceedings., 5594138, IEEE Vehicular Technology Conference, 2010 IEEE 72nd Vehicular Technology Conference Fall, VTC2010-Fall, Ottawa, ON, Canada, 9/6/10. https://doi.org/10.1109/VETECF.2010.5594138

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title = "Outage probability analysis of multi-relay delay-limited hybrid-ARQ channels",

abstract = "We consider a wireless relay network with with hybrid-automatic retransmission request (HARQ) and Rayleigh fading channels. In this paper, we analyze the outage probability of the multi-relay delay-limited HARQ system with opportunistic relaying scheme in decode-and-forward mode. A simple and distributed relay selection strategy is proposed for multi-relay HARQ channels. Then, we analyze the performance of the system. We first derive the cumulative density function (CDF) and probability density function (PDF) of the selected relay channels. Then, the CDF and PDF are used to determine the outage probability in the l-th round of HARQ. The packet delay constraint is represented by L, the maximum number of HARQ rounds. Furthermore, closed-form upper-bounds on outage probability are derived, which are used to investigate the diversity order of the system. Based on the derived upper-bound expressions, it is shown that the proposed schemes achieve the full spatial diversity order of N + 1, where N is the number of potential relays. Our analytical results are confirmed by simulation results.",

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N2 - We consider a wireless relay network with with hybrid-automatic retransmission request (HARQ) and Rayleigh fading channels. In this paper, we analyze the outage probability of the multi-relay delay-limited HARQ system with opportunistic relaying scheme in decode-and-forward mode. A simple and distributed relay selection strategy is proposed for multi-relay HARQ channels. Then, we analyze the performance of the system. We first derive the cumulative density function (CDF) and probability density function (PDF) of the selected relay channels. Then, the CDF and PDF are used to determine the outage probability in the l-th round of HARQ. The packet delay constraint is represented by L, the maximum number of HARQ rounds. Furthermore, closed-form upper-bounds on outage probability are derived, which are used to investigate the diversity order of the system. Based on the derived upper-bound expressions, it is shown that the proposed schemes achieve the full spatial diversity order of N + 1, where N is the number of potential relays. Our analytical results are confirmed by simulation results.

AB - We consider a wireless relay network with with hybrid-automatic retransmission request (HARQ) and Rayleigh fading channels. In this paper, we analyze the outage probability of the multi-relay delay-limited HARQ system with opportunistic relaying scheme in decode-and-forward mode. A simple and distributed relay selection strategy is proposed for multi-relay HARQ channels. Then, we analyze the performance of the system. We first derive the cumulative density function (CDF) and probability density function (PDF) of the selected relay channels. Then, the CDF and PDF are used to determine the outage probability in the l-th round of HARQ. The packet delay constraint is represented by L, the maximum number of HARQ rounds. Furthermore, closed-form upper-bounds on outage probability are derived, which are used to investigate the diversity order of the system. Based on the derived upper-bound expressions, it is shown that the proposed schemes achieve the full spatial diversity order of N + 1, where N is the number of potential relays. Our analytical results are confirmed by simulation results.

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