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Clustered Network MIMO and Fractional Frequency 
Reuse for the Downlink in LTE-A Systems 
Ajay Thampiy, Simon Armoury, Zhong Fanz, Dritan Kaleshiy 
yCommunication Systems and Networks Research Group, University of Bristol, UK 
zToshiba Research Europe, Telecommunications Lab, Bristol, UK 
May 16, 2014 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 1 / 18
Thanks to... 
The U.K. Research Council and Toshiba for jointly funding my PhD under 
the Dorothy Hodgkin Postgraduate Awards. 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 2 / 18
The Problem 
Worldwide data trac to grow 7-fold in the next 3 years 
I 66% of that trac will be video 
Operators deploying 4G LTE Networks 
I Reduced cell size 
I Aggressive frequency reuse (Reuse factor ! 1) 
Major Performance Bottleneck: Inter-Cell Interference 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 3 / 18
Possible Solutions 
Network MIMO (aka CoMP) 
I Base stations pooled together to form a Virtual MIMO system 
F Data and channel states are shared 
I Interference channel becomes: 
F Broadcast channel on the downlink 
F Multiple-access channel on the uplink 
I Ideal solution if backhaul links have in
nite capacity 
I Realistically, global coordination is unscalable 
Fractional Frequency Reuse (FFR) 
I Split the spectrum into two bands: 
F Band 1: Cell-Centre (Reuse factor = 1) 
F Band 2: Cell-Edge (Reuse factor  1) 
I Cancels interference entirely but inecient use of spectrum 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 4 / 18
Clustered Network MIMO - System Model (1/2) 
Scalable Network MIMO 
C Clusters, each of size B (Here, C = 7 and B = 3) 
I Cluster 0: Home Cluster 
I Clusters 1 to C  1: Neighbouring Clusters 
R: Cell Radius 
Dc : Boundary between Cluster-Centre and Cluster-Edge 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 5 / 18
Cluster Network MIMO - System Model (2/2) 
NT : Number of transmit antennas (at the base station) 
NR: Number of receive antennas (for each user in the cell) 
K(c): Number of users in cluster c 
l (c) 
k : Length of data symbol for user k in cluster c 
I Assumption is that l (c) 
k = NR 8k; c 
x(c) 
k : NR  1 transmitted signal vector for user k in cluster c 
y(c) 
k : NR  1 received signal vector for user k in cluster c 
y(c) 
k = 
XB 
b=1 
H(c;b) 
k T(c;b) 
k x(c) 
k 
| {z } 
desired signal 
+ 
XB 
b=1 
H(c;b) 
k 
K(c) X 
i=1;i6=k 
T(c;b) 
i x(c) 
i 
| {z } 
intra-cluster interference 
+ 
CX1 
^c=0;^c6=c 
XB 
^b=1 
H(^c;^b) 
k 
K(^c) X 
j=1 
T(^c;^b) 
j x(^c) 
j 
| {z } 
inter-cluster interference 
+n(c) 
k 
(1) 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 6 / 18
Existing Approach - Helper Clusters 
Intra-Cluster Interference 
I Block diagonalisation (BD) precoding technique 
F More practical than DPC and provides interference-free channels [1] 
Inter-Cluster Interference 
I Get neighbouring clusters to help the edge users in the home cluster 
F Not guaranteed to cancel interference 
I Main idea is to increase the cluster size (B = 7 worked in [1]) 
Can we do better? 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 7 / 18
Proposed Approach - Network MIMO + FFR (1/3) 
Set cluster size B = 3 
FFR applied in cluster-scale to cancel inter-cluster interference 
I Bandwidth Partitioning is load-dependent 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 8 / 18
Proposed Approach - Network MIMO + FFR (2/3) 
Bandwidth Partitioning 
I Let: 
F M(i) 
c : Number of cluster-centre users in cluster i 
F M(i): Total number of users in cluster i 
F W: Total available bandwidth 
I Bandwidth allocated for cluster-centre users in cluster i : 
W(i) 
c = 
  
M(i) 
c 
M(i) 
! 
W 
' 
(2) 
I Bandwidth allocated for cluster-edge users in cluster i : 
W(i) 
e = 
$  
W W(i) 
c 
3 
!% 
(3) 
I Choose largest W(i) 
e and corresponding W(i) 
c for all clusters 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 9 / 18
Proposed Approach - Network MIMO + FFR (3/3) 
Network MIMO with conventional FFR [2] 
Proposed FFR scheme v/s Conventional FFR 
I 84% v/s 100% spectrum utilisation 
I 76.6% v/s 61.5% spectrum allocation for cluster-centre users (under 
high load) 
Location Classi
cation: Use logistic regression approach in [3] 
I Employ Minimisation of Drive Test (MDT) reports speci
ed in 3GPP 
TS37.320 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 10 / 18
The Setup 
Cell Parameters 
Number of Cells 21 
Cell Radius, R 1 km 
Coordination Distance, Dc 350 m 
MIMO Parameters 
Number of Transmit Antennas, NT 4 
Number of Receive Antennas, NR 2 
Channel Model 
Carrier Frequency 800 MHz 
Fading Narrowband, Rayleigh 
Power Allocation 
Total Power Constraint, P 46 dBm 
Algorithm Scaled Water Filling 
Scheduling 
Algorithm Proportional Fair 
Window Size 100 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 11 / 18
Results - Overall Sum Rate 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 12 / 18
Results - Cluster Edge Sum Rate 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 13 / 18
Results - Fairness 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 14 / 18
Results - Complexity 
Channel State Information (CSI) Reduction 
I 71% reduction when compared to global coordination 
I 14% reduction when compared to the helper approach 
Execution time (in milliseconds) 
B = 21 
(Global) 
B = 7 
(Helper) 
B = 3 
(FFR-Cell) 
B = 3 
(FFR- 
Cluster) 
239.75 10.43 3.37 2.01 
Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 15 / 18

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Clustered Network MIMO and Fractional Frequency Reuse for the Downlink in LTE-A Systems

  • 1. Clustered Network MIMO and Fractional Frequency Reuse for the Downlink in LTE-A Systems Ajay Thampiy, Simon Armoury, Zhong Fanz, Dritan Kaleshiy yCommunication Systems and Networks Research Group, University of Bristol, UK zToshiba Research Europe, Telecommunications Lab, Bristol, UK May 16, 2014 Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 1 / 18
  • 2. Thanks to... The U.K. Research Council and Toshiba for jointly funding my PhD under the Dorothy Hodgkin Postgraduate Awards. Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 2 / 18
  • 3. The Problem Worldwide data trac to grow 7-fold in the next 3 years I 66% of that trac will be video Operators deploying 4G LTE Networks I Reduced cell size I Aggressive frequency reuse (Reuse factor ! 1) Major Performance Bottleneck: Inter-Cell Interference Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 3 / 18
  • 4. Possible Solutions Network MIMO (aka CoMP) I Base stations pooled together to form a Virtual MIMO system F Data and channel states are shared I Interference channel becomes: F Broadcast channel on the downlink F Multiple-access channel on the uplink I Ideal solution if backhaul links have in
  • 5. nite capacity I Realistically, global coordination is unscalable Fractional Frequency Reuse (FFR) I Split the spectrum into two bands: F Band 1: Cell-Centre (Reuse factor = 1) F Band 2: Cell-Edge (Reuse factor 1) I Cancels interference entirely but inecient use of spectrum Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 4 / 18
  • 6. Clustered Network MIMO - System Model (1/2) Scalable Network MIMO C Clusters, each of size B (Here, C = 7 and B = 3) I Cluster 0: Home Cluster I Clusters 1 to C 1: Neighbouring Clusters R: Cell Radius Dc : Boundary between Cluster-Centre and Cluster-Edge Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 5 / 18
  • 7. Cluster Network MIMO - System Model (2/2) NT : Number of transmit antennas (at the base station) NR: Number of receive antennas (for each user in the cell) K(c): Number of users in cluster c l (c) k : Length of data symbol for user k in cluster c I Assumption is that l (c) k = NR 8k; c x(c) k : NR 1 transmitted signal vector for user k in cluster c y(c) k : NR 1 received signal vector for user k in cluster c y(c) k = XB b=1 H(c;b) k T(c;b) k x(c) k | {z } desired signal + XB b=1 H(c;b) k K(c) X i=1;i6=k T(c;b) i x(c) i | {z } intra-cluster interference + CX1 ^c=0;^c6=c XB ^b=1 H(^c;^b) k K(^c) X j=1 T(^c;^b) j x(^c) j | {z } inter-cluster interference +n(c) k (1) Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 6 / 18
  • 8. Existing Approach - Helper Clusters Intra-Cluster Interference I Block diagonalisation (BD) precoding technique F More practical than DPC and provides interference-free channels [1] Inter-Cluster Interference I Get neighbouring clusters to help the edge users in the home cluster F Not guaranteed to cancel interference I Main idea is to increase the cluster size (B = 7 worked in [1]) Can we do better? Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 7 / 18
  • 9. Proposed Approach - Network MIMO + FFR (1/3) Set cluster size B = 3 FFR applied in cluster-scale to cancel inter-cluster interference I Bandwidth Partitioning is load-dependent Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 8 / 18
  • 10. Proposed Approach - Network MIMO + FFR (2/3) Bandwidth Partitioning I Let: F M(i) c : Number of cluster-centre users in cluster i F M(i): Total number of users in cluster i F W: Total available bandwidth I Bandwidth allocated for cluster-centre users in cluster i : W(i) c = M(i) c M(i) ! W ' (2) I Bandwidth allocated for cluster-edge users in cluster i : W(i) e = $ W W(i) c 3 !% (3) I Choose largest W(i) e and corresponding W(i) c for all clusters Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 9 / 18
  • 11. Proposed Approach - Network MIMO + FFR (3/3) Network MIMO with conventional FFR [2] Proposed FFR scheme v/s Conventional FFR I 84% v/s 100% spectrum utilisation I 76.6% v/s 61.5% spectrum allocation for cluster-centre users (under high load) Location Classi
  • 12. cation: Use logistic regression approach in [3] I Employ Minimisation of Drive Test (MDT) reports speci
  • 13. ed in 3GPP TS37.320 Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 10 / 18
  • 14. The Setup Cell Parameters Number of Cells 21 Cell Radius, R 1 km Coordination Distance, Dc 350 m MIMO Parameters Number of Transmit Antennas, NT 4 Number of Receive Antennas, NR 2 Channel Model Carrier Frequency 800 MHz Fading Narrowband, Rayleigh Power Allocation Total Power Constraint, P 46 dBm Algorithm Scaled Water Filling Scheduling Algorithm Proportional Fair Window Size 100 Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 11 / 18
  • 15. Results - Overall Sum Rate Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 12 / 18
  • 16. Results - Cluster Edge Sum Rate Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 13 / 18
  • 17. Results - Fairness Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 14 / 18
  • 18. Results - Complexity Channel State Information (CSI) Reduction I 71% reduction when compared to global coordination I 14% reduction when compared to the helper approach Execution time (in milliseconds) B = 21 (Global) B = 7 (Helper) B = 3 (FFR-Cell) B = 3 (FFR- Cluster) 239.75 10.43 3.37 2.01 Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 15 / 18
  • 19. Possible Future Directions Performance study with imperfect CSI and better precoding techniques Clustered Network MIMO + FFR in a heterogeneous network Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 16 / 18
  • 20. Thank you! Q A ajay.thampi@bristol.ac.uk http://ajaythampi.net @thampiman Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 17 / 18
  • 21. References [1] J.Zhang; et al (2009) Networked MIMO with Clustered Linear Precoding IEEE Transactions on Wireless Communications, vol. 8, no. 4, pp. 1910-1921. [2] L.C.Wang; et al (2011) 3-cell network MIMO architectures with sectorization and FFR IEEE Journal on Selected Areas in Communications, vol. 29, no. 6, pp. 1185-1199. [3] A.Thampi; et al (2013) A Logistic Regression Approach to Location Classi
  • 22. cation in OFDMA-based FFR Systems IEEE WoWMoM, pp. 1-9. Ajay Thampi (University of Bristol) Clustered Network MIMO and FFR May 16, 2014 18 / 18