Performance analysis of ARQ cooperative diversity system
with multiple two-hop relays over Rayleigh fading channels
q
Haixia Cui
a,
⇑
, Gang Wei
b
, Gaoyong Luo
c
, Yongcong Yu
b
, Wenlou Li
c
a
School of Physics and Telecommunication Engineering, South China Normal University, 510006 Guangzhou, China
b
School of Electronic and Information Engineering, South China University of Technology, 510640 Guangzhou, China
c
School of Physics and Electronic Engineering, Guangzhou University, 510006 Guangzhou, China
article info
Article history:
Received 16 June 2011
Received in revised form 13 April 2013
Accepted 16 April 2013
Available online 21 May 2013
abstract
Cooperative communication systems can exploit spatial diversity by opportunistically
choosing relays to forward information to the destination. In this paper, we investigate
the statistical performance analysis of a general cross-layer automatic repeat request coop-
erative diversity (ACD) system by focusing on the scenario in which decode-and-forward
relaying protocol and multiple two-hop relays are employed over Rayleigh fading channel
environments. To obtain the theoretical closed-form formulas for end-to-end performance
parameters, we develop a time division multiple access (TDMA)-based absorbing Markov
model to help find all possibl e transition probabilities of each transmission process. Based
on this proposed model and statistical analysis, we derive two tight closed-form expres-
sions in terms of end-to-end packet delivery failure probability and end-to-end packet
delivery delay distribution. In addition, an optimal power allocation scheme under a tight
power constraint for the ACD system is proposed for further enhancing the symbol error
rate (SER) performance, which outperforms the equal power allocation scheme obviously.
Simulation results by Monte Carlo simulations demonstrate the correctness of our analysis
eventually.
Ó 2013 Elsevier Ltd. All rights reserved.
1. Introduction
Cooperative diversity has shown to play a major role in the next-generation mobile communication networks based on
recent work on IEEE802.11s and IEEE802.16j [1]. With low complexity terminals, it is beneficial in enhancing data transmis-
sion performance by exploiting the broadcast nature and location dependent fading characteristics of wireless channels.
Basically, a transmitting source node can be assisted by its surrounding nodes, if the direct transmission fails. By doing
so, multiple copies of independent fading signal paths are provided at the destination, which brings spatial diversity [1,2].
Among the set of cooperative techniques, one most popular strategy for such cooperative diversity systems is the decode-
and-forward (DF) relaying protocol [2,3] where each cooperative node decodes and re-encodes the received signal before
forwarding it to the destination. The very early paper on DF cooperative diversity appeared in the single relay over physical
layer [2–5]. Most of them have addressed the performance analysis in terms of symbol error rate, outage probability, and
capacity. In [6], Lee et al. considered the true error probability for decode-and-forward cooperative communications with
multiple relays over Nakagami-m fading channels. However, they dealt with one-layer symbol error rate analysis without
considering upper layers. Recent research work [7–9] has shown that automatic repeat request (ARQ) can improve the mul-
tiplexing diversity tradeoff significantly by the retransmission round. In fact, a code division multiple access (CDMA)-based
0045-7906/$ - see front matter Ó 2013 Elsevier Ltd. All rights reserved.
http://dx.doi.org/10.1016/j.compeleceng.2013.04.004
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Reviews processed and approved for publication by Editor-in-Chief Dr. Manu Malek.
⇑
Corresponding author.
E-mail address: cuicuihang0715@gmail.com (H. Cui).
Computers and Electrical Engineering 39 (2013) 1399–1408
Contents lists available at SciVerse ScienceDirect
Computers and Electrical Engineering
journal homepage: www.elsevier.com/locate/compeleceng
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