Energy Efficient AS for AF MIMO Twoway IEEE ICC 2015 1 Is there a promising way Energy Efficient relay Antenna selection For AF MIMO Twoway relay channels Xingyu Zhou Bo Bai Wei Chen ID: 630873
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Slide1
X. Zhou, B. Bo, W. Chen
Energy Efficient AS for AF MIMO Two-way
IEEE ICC 2015
1
Is there a promising way?
Energy Efficient relay Antenna selection
For AF MIMO Two-way relay channels
Xingyu
Zhou
Bo
Bai
Wei Chen
Tsinghua National Laboratory for Information Science
and Technology
(TNList)Department of Electronic EngineeringTsinghua University
IEEE International Communications Conference 2015Slide2
Background & Problem Formulation
An iterative approachSimulation results
Conclusions
O
utline
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
2
Energy Efficient AS for AF MIMO Two-waySlide3
Background & Problem Formulation
An iterative approach
Simulation resultsConclusions
O
utline
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
3
Energy Efficient AS for AF MIMO Two-waySlide4
Higher spectral efficiency
Improved reliability
Better coverage
Advantages & Disadvantages
Costly multiple RF chains
High complexity of SP
Especially on the relay
Is there a promising way?
Two-way MIMO Relay
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
4
Energy Efficient AS for AF MIMO Two-waySlide5
A
ntenna
Selection
(AS)
IEEE ICC 2014
Optimal Method
Exhaustive Search
Complexity Prohibitive
Suboptimal Methods
H.Park
’12
J.-C Chen ‘12
J.Leithon
‘12
Low Complexity
Near-Optimal
Limitations of Suboptimal Methods
Number of RF chains is
given and fixed
.
Only
Transmission power
is considered
Capacity
maximization only.
NOT Energy Efficient.
Energy Efficient MIMO
Urgent and Important.
Holistic power model.
[S. Cui ’04]
Energy efficiency maximization.
[D.
Feng
’13]
Features
Definition:
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
5
Received
RF
RF
RF
AS
RF
RF
RF
AS
Amplify and
Forward
Signal
Transmitted
Signal
Energy efficient MIMO with AS?
Energy Efficient AS for AF MIMO Two-waySlide6
E
nergy
E
fficient MIMO
with
AS
X. Zhou, B. Bo, W. Chen
Optimization of RF
and
AS
simultaneously Number of active RF chains is dynamical
Features
Previous Work
EE maximization
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
6
SW
RF
RF
RF
AS
RF
RF
RF
AS
Amplify and
Forward
X. Zhou ’ICC 14 : p2p MIMO
X. Zhou ’GlobalSIP14: one-way relay
Energy Efficient AS for AF MIMO Two-way
Transmitted
Signal
Received
Signal
Energy efficient AS for Two-way AF MIMO?Slide7
P
roblem
F
ormulation
X. Zhou, B. Bo, W. Chen
Features
Holistic power model
Our problem
How to solve it efficiently ?
Performance metric:
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
7
Energy Efficient AS for AF MIMO Two-waySlide8
Background & Problem Formulation
An iterative approach
Simulation resultsConclusions
O
utline
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
8
Energy Efficient AS for AF MIMO Two-waySlide9
C
ore
i
dea
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
9
Our problem
Theorem 1
Proposed Algorithm
Optimize the power
for the
n
th step
AS at the
n
th step
Proposition 1
Fractional
Programming
Theorem 1
Greedy Selection
Energy Efficient AS for AF MIMO Two-way
Slide10
A
ntenna
s
election
p
rocess
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
10
Theorem 1
With the
relay antenna selection and given transmission power, the EE of AF MIMO TWRC
u
nder the holistic power model is given by the following iterative equation:
where
Main Idea of AS
At each step, select the
antenna pair at the relay
that brings the largest contribution to the energy efficiency.
It can be equivalent to this problem :
e
ffect of circuit power
EE increment when
is
selected
Energy Efficient AS for AF MIMO Two-waySlide11
Power Adaptation
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
11
Main Idea of PA
Remark
Energy Efficient AS for AF MIMO Two-way
Proposition
1
An optimization problem is pseudo
-concave when is concave and
is convex. It can be related to the following parametric problem
The maximum value can be achieved if and only if and satisfy
The root can be efficiently found by the
Dinkelbach
method.
Main Idea of
Power Adaptation
Transform a non-convex optimization problem into parametric convex optimization problem
It can be
solved with a
superlinear
convergence rate. Slide12
Background & Problem Formulation
An iterative approach
Simulation resultsConclusions
O
utline
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
12
Energy Efficient AS for AF MIMO Two-waySlide13
S
imulation
r
esults
(1/3)
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
13
Figure:
Energy efficiency VS. the transmission distance
Near-optimal
Significant Gain
Energy Efficient AS for AF MIMO Two-waySlide14
S
imulation
r
esults
(2/3)
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
14
Figure:
Optimal transmission power VS. the transmission distance.
Energy Efficient AS for AF MIMO Two-waySlide15
S
imulation
r
esults
(3/3)
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
15
Figure
:
Statistical results for the optimal number of active RF chains
V.S.
the distance when achieving the maximum EE
Energy Efficient AS for AF MIMO
Two-waySlide16
Background & Problem Formulation
An iterative approach
Simulation resultsConclusions
O
utline
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
16
Energy Efficient AS for AF MIMO Two-waySlide17
C
onclusions
X. Zhou, B. Bo, W. Chen
IEEE ICC 2015
17
Our proposed iterative algorithm enjoys a low complexity and achieves the near-optimal performance in
all transmission distances.
Our
algorithm is capable of simultaneously improving EE and reducing the transmission power.
Our work helps to design future energy efficient wireless communication systems.
Thank you very much!
All comments are welcomed ;-)
Energy Efficient AS for AF MIMO Two-way