Practical Network Coding for Two Way Relay
Channels in LTE Networks
Hassan Hamdoun, Pavel Loskot, Timothy O’Farrell and Jianhua He
School of Engineering
Swansea University, Swansea,United Kingdom, SA2 8PP
Email: {476506,p.loskot,t.ofarrell,j.he}@swansea.ac.uk
Abstract— In this paper, the implementation aspects and con-
straints of the simplest network coding (NC) schemes for a
two-way relay channel (TWRC) composed of a user equipment
(mobile terminal), an LTE relay station (RS) and an LTE base
station (eNB) are considered in order to assess the usefulness of
the NC in more realistic scenarios. The information exchange rate
gain (IERG), the energy reduction gain (ERG) and the resource
utilization gain (RUG) of the NC schemes with and without
subcarrier division duplexing (SDD) are obtained by computer
simulations. The usefulness of the NC schemes are evaluated for
varying traffic load levels, the geographical distances between
the nodes, the RS transmit powers, and the maximum numbers
of retransmissions. Simulation results show that the NC schemes
with and without SDD, have the throughput gains 0.5% and 25%,
the ERGs 7 - 12% and 16 - 25%, and the RUGs 0.5 - 3.2%,
respectively. It is found that the NC can provide performance
gains also for the users at the cell edge. Furthermore, the ERGs
of the NC increase with the transmit power of the relay while
the ERGs of the NC remain the same even when the maximum
number of retransmissions is reduced.
I. I NTRODUCTION
The ever increasing energy costs and the stringent govern-
ment climate policies are forcing the radio access network
(RAN) operators to search for innovative techniques that
can achieve significant energy and power savings. At the
same time, the energy savings must be provided without
significantly sacrificing the required quality-of-service (QoS).
Recently, network coding (NC) protocols have been introduced
to enhance the throughput of wireless networks [1]. The
results on how to employ NC in orthogonal frequency division
multiple access (OFDMA) based wireless networks are scarce
[2], [3], and more importantly, practical implementation con-
straints of NC are rarely considered. Since the hybrid ARQ
(HARQ) retransmission unit is a transport block (TB), in
the authors’ opinion, the most suitable implementation of the
NC is a binary exclusive-or (XOR) of the TBs at the MAC
sublayer of the link layer [4]. The NC of the TBs at the MAC
sublayer is followed by the packet scheduling, the HARQ
retransmissions, and link adaptation. The LTE standard defines
physical resource blocks (PRBs) of 180kHz bandwidth over a
subframe of 1ms to carry the TBs. The LTE downlink is based
on OFDMA, however, the LTE uplink employs a single carrier
frequency division multiple access (SC-FDMA). In both the
uplink and the downlink, the spectral resources allocation can
be changed every subframe for each of the PRBs.
The results in literature on network coding (NC) indicate
that the usefulness of NC strongly depends on the conceptual
system model adopted. In this paper, we investigate NC
schemes for TWRCs in LTE networks assuming the time
division duplex (TDD) option as well as the subcarrier division
duplexing (SDD) option. The TWRC consists of a base station
(eNB), a relay station (RS) and the user equipment (UE).
We note that we use the term ‘network coding’ in the sense
of a distributed encoding among the network nodes. In the
distributed encoding, the packets from several source nodes
are encoded in one or more relay nodes. For example, the NC
schemes for TWRCs considered in this paper generate a single
parity bit at the RS for each of the two source bits transmitted
from the eNB and the UE, respectively. We quantify the energy
savings due to saved resource blocks in an LTE cell due to
the NC used at the RS relaying a bidirectional traffic between
the eNB and the UE. We also evaluate the usefulness of the
NC in terms of the utilization of the radio resources and the
cell throughput.
We adopt several realistic implementation assumptions
that most significantly influence the performance of the NC
schemes in LTE networks. The first assumption is a non-zero
packet error rate (PER) of communication links which, in our
case, corresponds to the transport block error rate (TBLER).
The second realistic assumption is the link adaptation that
determines the Modulation and Coding Scheme (MCS), and
hence, the number of bits transmitted by a given PRB. In
addition, the link adaption implies that the network coded
TB should be broadcasted from the RS using the smaller of
the signal-to-noise ratios (SNRs) of the two incoming links.
Lastly, we also consider the the impact of the maximum
number of retransmissions of the HARQ, the impact of the
geographical distance between the RS, the eNB and the UE,
and the impact of the transmission power of the RS.
The remainder of this paper is organized as follows. Section
II provides details on how to employ NC at the LTE link layer.
The system model and simulation methodology are discussed
in Section III. Simulation results are presented in Section IV.
Conclusions are given in Section V.
II. PRACTICAL NC FOR A TWRC IN LTE CELL
The 3GPP standard requires orthogonality of all transmis-
sions within the single LTE cell. Hence, we only consider
XOR based NC schemes. Such NC schemes reduce the
number of transmissions, or equivalently, reduce the traffic
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