Shining a Light into the Darkness: How
Cooperative Relay Communication Mitigates
Correlated Shadow Fading
Tingting Lu, Pei Liu, Shivendra Panwar
NYU Polytechnic School of Engineering
Brooklyn, New York, 11201
Email: tl984@nyu.edu, peiliu@gmail.com, panwar@catt.poly.edu
Abstract—In a cellular network, connections between the Base
Station (BS) and Mobile Stations (MS) may fail when the
channel is in a deep fade. Shadow fading is large-scale fading
which can cause significant received power loss for a wide area.
This will lead to lost connections and/or packet loss which is
harmful to mobile users, especially to those who are using
real-time applications such as video conferencing. Cooperative
communication is an efficient way to reduce outage and provide
better Quality of Service (QoS) support for delay sensitive
applications. A third station, which is often referred as a relay,
can be used to forward signals between the BS and the MS.
This paper focuses on a study of the performance of relay
deployments under correlated shadow fading. We consider the
downlink direction in a single cell deployment, for which the
shadowing effect is modeled as an angle and distance based
correlated shadowing. The received signal-to-noise ratio (SNR)
is then calculated by assuming jointly Gaussian shadow fading
at the MS. Simulation results show channel variations over time
with fixed user speed under different relay deployments. These
results demonstrate that a modest number of relays can improve
the performance of real-time applications significantly.
I. I NTRODUCTION
In a cellular communication system, the connection between
the base station and a mobile station may be dropped when
the mobile enters a deeply shadowed area. Shadow fading due
to buildings, mountains or even trees significantly reduces the
power of the received signal. In most cases, shadow fading is
assumed to be temporally and spatially independent [1]. In [2]
and [3], the effects of correlated shadowing in connectivity is
demonstrated, which indicates that reliable connectivity will be
much more difficult to maintain than indicated by independent
fading shadow models. In a cellular system, for a downlink,
the transmitter is a Base Station (BS) and the receiver is a
Mobile Station (MS). For real-time applications (e.g. video
conferencing), which require high bandwidth and are delay
sensitive, the session may get dropped. In general, within a
speed limit, the faster the MS moves, the more frequently
the channel condition changes and the higher the connection
loss frequency. The focus of this paper is to study channel
variations due to correlated shadow fading, and provide a
solution to reduce the frequency and duration of dropped
connections by employing relays when the MS is moving.
Cooperative communication has been proven to be an effi-
cient way to mitigate fast fading and increase the robustness of
Base Station
Relay
Mobile User
Fig. 1. Cooperative Communication Example
data connections [4, 5]. However, cooperative communication
can also efficiently maintain the connection whenever the
channel condition experiences a sudden deterioration due to
shadow fading by switching to different relays. Figure 1 is an
example of cooperative communication where relays and BS
are placed on the top of buildings. In this case, when the MS
moves to the area behind a tall building, with a high probability
the signal transmitted from the BS will be obstructed by
the building, and consequently the MS will encounter deep
shadow fading. The channel between BS and MS will degrade
and data rate will drop suddenly. In the worst case scenario,
the connection with the BS may be totally lost. To combat
this effect and enhance the signal received by the MS in this
case, relays can be deployed on the top of tall buildings to
relay the signals from the BS to MS to maintain good channel
conditions between the BS and MS.
Cooperative communication has been a topic of research
for several years. Madan et al. [6] studied multi-user spatial
diversity in a shadow-fading environment. Other work [7–9],
studied relay selection and cooperative relaying over different
fading channels in different systems. Patwari et al. [10] studied
relay placement in realistic deployments and confirmed that
Rayleigh fading alone is not an appropriate assumption for
evaluating network performance in a real deployment. In
[11, 12], the authors analyzed outage probability and its
duration with cooperative relaying. In an 4G-LTE network,
which is strongly resilient to multipath fading, shadow fading
becomes the most important fading factor [1]. Given the
presence of relays, the channel variation experienced by an
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