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Concurrent Transmission versus Time Sharing in Gaussian Interfer...
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A key to efficient mobile communication networks is an efficient utilization of scarce resources, which includes mechanisms<br>for resource allocation and interference management. In practice, time sharing methods such as Time Division Multiple<br>Access (TDMA) are often exploited to create orthogonal connections. TDMA schemes however are inflexible and not suitable for decentralized implementation. In this context, approaches based on concurrent transmissions in the same frequency spectrum
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Concurrent Transmission versus Time Sharing in
Gaussian Interference Channels
Meng Zheng
†‡
, Jafar Mohammadi
★⋄
, Sławomir Sta
´
nczak
★⋄
,HaibinYu
†
†
Lab of Industrial Control Network and System, Shenyang Institute of Automation
Chinese Academy of Sciences, Shenyang, 110016 China
‡
Graduate School of Chinese Academy of Sciences, Beijing, 100039 China
★
Fraunhofer Heinrich Hertz Institute, Berlin, 10587 Germany
⋄
Heinrich-Hertz-Lehrstuhl f
¨
ur Informationstheorie und Theoretische Informationstechnik
Technische Universitat Berlin, Einsteinufer 27, 10587 Germany
Abstract—A key to efficient mobile communication networks is
an efficient utilization of scarce resources, which includes mech-
anisms for resource allocation and interference management. In
practice, time sharing methods such as Time Division Multiple
Access (TDMA) are often exploited to create orthogonal connec-
tions. TDMA schemes however are inflexible and not suitable for
decentralized implementation. In this context, approaches based
on concurrent transmissions in the same frequency spectrum
admitting the interference offer a promising and attractive
alternative. Yet their performances deteriorate dramatically if the
underlying interference coefficients are relatively large. Assuming
a Gaussian Interference Channel (GIC), this paper characterizes
the so-called TDMA region which is defined as a set of all
interference coefficient matrices for which TDMA outperforms
concurrent transmissions. We use the dimensional lifting method
to prove the convexity and monotonicity of the TDMA region,
which provides some insights into the scheduling design under
uncertainty with respect to the interference coefficients. Finally,
the analysis is used to develop strategies for resource allocation
in STDMA-based wireless networks.
I. INTRODUCTION
Interference is a prominent phenomenon in wireless net-
works where multiple uncoordinated users share a common
channel. Concurrent transmission with power control [1]-[4]
and orthogonal transmission in time or frequency [5]-[8] are
two widely-considered schemes for interference management
in wireless networks. Each of these two schemes has its own
drawbacks.
Orthogonal transmission schemes such as TDMA methods
neglect potential opportunities for transmission when the in-
terference is very weak. Furthermore, they are either inflexible
or to a large extent not suitable for decentralized wireless
networks because, in such networks, the maintenance of
orthogonality requires extensive coordination/synchronization,
which in turn causes a lot of signaling overhead. In contrast,
concurrent transmission may lead to poor throughput perfor-
mance when the interference is relatively strong. Therefore,
we believe that quantitative study on the ”watershed” of inter-
ference level between concurrent transmission and orthogonal
transmission is highly valuable in both academy and industry.
However, to the best of our knowledge, there is still vacancy
in the study on this topic.
The basic model for investigating this problem is the Gaus-
sian interference channel (GIC) shown in Fig. 1, where each
user (link) is a source-destination pair where the source signal,
the interference from other users, and the Gaussian noise are
collected at its receiver [9]. The GIC capacity remains an open
problem except for the strong and very strong interference
cases [10]-[11]. A lot of existing contributions devote to
the derivation for outer bounds of the GIC capacity(see for
example [12]-[14] and references therein). The lack of under-
standing of the capacity has motivated a pragmatic approach
whereby we simply assume that communication pairs in Fig. 1
are coded separately and the interference is treated as noise. In
this paper TDMA is chosen as a representative of orthogonal
transmission schemes to compare with concurrent transmission
in terms of maximal throughput. For given transmit powers
of users, the TDMA region, which is the set of interference
matrices for which TDMA scheme outperforms concurrent
transmission, is for the first time characterized. Then by
the dimensional lifting method we prove the convexity and
monotonicity of the TDMA region, which provides quite
useful insights for practical engineering. Finally, we exploit
this work to develop strategies for the resource allocation
in STDMA-based wireless networks. More specifically, the
whole resource allocation problem is heuristically decomposed
into two subproblems: building active sets and resource alloca-
tion among active sets; while the analysis gained above helps
to design the building block, which conducts admission control
of potential interfering users, of the former subproblem.
II. G
AUSSIAN INTERFERENCE CHANNEL
We consider a continuous alphabet interference channel
corrupted by the Gaussian noise (see Fig. 1). The inputs X
i
and outputs Y
i
of the GIC are real numbers related by
Y
i
= X
i
+
n
∑
j=1, j∕=i
√
a
ji
X
j
+ Z
i
, 1 ≤ i ≤n
where
√
a
ji
and Z
i
are nonnegative interference coefficients
and and independent Gaussian noise random variables with
zero mean and unit variance, respectively. The transmit power
of the input X
i
is P
i
, i = 1,...,n. In what follows, let A =
978-1-4673-0971-4/12/$31.00 ©2012 IEEE
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