blind interference alignment for small cells
TRANSCRIPT
![Page 1: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/1.jpg)
Blind Interference Alignmentfor
Small CellsFurkan Can Kavasoglu
Yichao Huang
2/28/13
![Page 2: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/2.jpg)
Outlineโข Background
โข Related Papers in Literatureโข Blind Interference Alignmentโข Small Cells
โข Initial Stepsโข BIA Design Based on Clustered Small Cells (Intra vs Inter-cell Interference)โข Problem Definition and System Modelโข Rate Equationsโข Simulation Results
โข Further Stepsโข Power Controlโข Scheduling / Code Assignmentโข Performance with non constant channel assumptionโข Super-symbol design at Transmitter Sideโข Partial Connectivity / Threshold Designโข Soft Clustering / Graph Model
![Page 3: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/3.jpg)
BACKGROUNDโข Related Papers in Literatureโข Blind Interference Alignmentโข Small Cells
![Page 4: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/4.jpg)
Related Papers In Literature2010 :
โExploiting Channel Correlations โSimple Interference Alignment Schemes with no CSITโSyed Ali Jafar. Globecom 2010
2011:
โAiming Perfectly in the Dark โBlind Interference Alignment Through Staggered Antenna Switchingโ Tiangao Gou, Chenwei Wang , Syed Ali Jafar. IEEE Trans on Signal Processing June 2011
โDesign and Operation of Blind Interference Alignment in Cellular and Cluster Based Systemsโ Chenwei Wang, Haralabos C. Papadopulos, Sean A. Ramprashad, Giuseppe CaireITA 11
โImproved Blind Interference Alignment in a Cellular Environment using Power Allocation and Cell Based Clustersโ Chenwei Wang, Haralabos C. Papadopulos, Sean A. Ramprashad, Giuseppe Caire. ICC 11
2012:
โBlind Interference Alignmentโ Syed Ali Jafar. IEEE JSAC June 2012
โElements of Cellular Blind Interference Alignment Aligned Frequency Reuse, Wireless Index Coding and Interference Diversityโ Syed Ali Jafar arXiv March 2012
โData Sharing Coordination and Blind Interference Alignment for Cellular Networksโ Salam Akoum, Chung Shue Chen, Merouane Debbah, Robert W. Heath Jr. Globecom 2012
2013:
โTopological Interference Management through Index Codingโ Syed Ali Jafar. arXiv January 2013
![Page 5: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/5.jpg)
Blind Interference Alignment
โข Blind Interference Alignment Scheme for vector broadcast channel:โข Transmitter with M antennasโข K receivers each equipped with a reconfigurable antenna can switch among
M preset modesโข Key Insight: BIA is achieved because of the ability of the receivers to switch
between reconfigurable antenna modes to create short term channel fluctuations patterns that are exploited by the transmitter
![Page 6: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/6.jpg)
Blind Interference Alignment
โข System Model:
โข 2x1 MISO BC
![Page 7: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/7.jpg)
Blind Interference Alignment
โข K User 2x1 MISO BC
![Page 8: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/8.jpg)
Blind Interference Alignment
โข 2 User 3x1 MISO BC
![Page 9: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/9.jpg)
Blind Interference Alignment
โข 3 User 3x1 MISO BC
![Page 10: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/10.jpg)
Small Cells
![Page 11: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/11.jpg)
INITIAL STEPSโข BIA Design Based on Clustered Small Cells (Intra vs Inter-
cell Interference)โข Problem Definition and System Modelโข Rate Equationsโข Simulation Results
![Page 12: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/12.jpg)
BIA Design on Clustered Small Cells
โข BIA is firstly designed for K user MISO Broadcast Channels
โข It completely removes the intra cell interference
โข Then for cellular network consideration of BIA:โข Synchronized same BIA code usage across all cells (assume reaming
interference as noise)โข Network coordination (clustering and data sharing) and deal with all cellular
network as one MISO Channel
โข Some problems may arise for small cell scenario. Note that each small cell serves very limited number of users
![Page 13: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/13.jpg)
Synchronized BIA Across All Cells
โข The main problem is that since the number of users in each cell is small, then the
ratio of ๐ ๐๐๐๐๐๐ ๐ผ๐๐ก๐๐๐๐๐๐๐๐๐
๐๐๐ก๐๐ ๐ผ๐๐ก๐๐๐๐๐๐๐๐๐still be high
โข Then how to deal with the inter-cell interference for small cells ?
![Page 14: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/14.jpg)
Network Coordination and Clustering
โข Consider network as a clustered /coordinated big cellโข No inter-cell interferenceโข Cost:
โข Data Exchangeโข Super symbol structure become long
![Page 15: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/15.jpg)
Proposed Transmission Scheme
โข Aim is as follows:โข Use BIA code so that nobody in the neighboring small cells do not
use the same code.
โข By doing this we will cope with the inter-cell interfering users (unlike Synchronized BIA)
โข Still we need to design a transmission scheme across all small cells (that may have some inter-cell interference effect to each other) so that :
โข We can use Mx1 MISO BIA code for NK user over N small cells
![Page 16: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/16.jpg)
Comparison
![Page 17: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/17.jpg)
Rate Equations โ Sync BIA
โข Normalized rate for user k (C = cluster size, N=number of cells)
๐๐ฆ๐๐ ๐ต๐ผ๐ด =๐ โ 1 ๐พโ1
๐ โ 1 ๐พ + ๐พ ๐ โ 1 ๐พโ1 E ๐๐๐๐๐๐ก ๐ผ +๐พ +๐ โ 1 ๐
๐2๐พ๐ป1
๐๐ป1
๐ +
๐ ๐งโ1
๐ ๐ง = ๐๐๐ผ + ๐=2๐ถ ๐ ๐พ+๐โ1
๐2๐พ๐ป๐
๐๐ป๐
๐ ++ ๐=1,๐โ๐ถ
๐ ๐( ๐ป๐๐ ๐ป๐
๐ +)
๐ป๐๐= ๐(๐๐,๐)
1
๐พโ๐
๐(1)
1
๐พโ๐
๐(2)
โฎ1
๐พโ๐
๐(๐ โ 1)
โ๐๐(๐)
๐ป๐๐= ๐(๐๐,๐)
โ๐๐(1)
โ๐๐(2)
โฎ
โ๐๐(๐ โ 1)
โ๐๐(๐)
![Page 18: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/18.jpg)
Rate Equations โ Prop BIA
๐๐๐๐. ๐ต๐ผ๐ด =๐ โ 1 ๐ถ๐พโ1
๐ โ 1 ๐ถ๐พ + ๐ถ๐พ ๐ โ 1 ๐ถ๐พโ1 E ๐๐๐๐๐๐ก ๐ผ +๐ถ๐พ +๐ โ 1 ๐
๐2๐ถ๐พ๐ป1
๐๐ป1
๐ +
๐ ๐งโ1
๐ป๐๐= ๐(๐๐,๐)
1
๐ถ๐พโ๐
๐(1)
1
๐ถ๐พโ๐
๐(2)
โฎ1
๐ถ๐พโ๐
๐(๐ โ 1)
โ๐๐(๐)
๐ ๐ง = ๐๐๐ผ + ๐=1,๐โ๐ถ๐ ๐( ๐ป๐
๐ ๐ป๐๐ +
)
๐ป๐๐= ๐(๐๐,๐)
โ๐๐(1)
โ๐๐(2)
โฎ
โ๐๐(๐ โ 1)
โ๐๐(๐)
![Page 19: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/19.jpg)
Rate Equations โNetwork BIA
๐๐๐ก๐ค ๐ต๐ผ๐ด =๐ถ๐ โ 1 ๐ถ๐พโ1
๐ถ๐ โ 1 ๐ถ๐พ + ๐ถ๐พ ๐ถ๐ โ 1 ๐ถ๐พโ1E ๐๐๐๐๐๐ก ๐ผ +
๐ถ๐พ + ๐ถ๐ โ 1 ๐
(๐ถ๐)2๐ถ๐พ๐ป ๐ ๐ป ๐ +
๐ ๐งโ1
๐ป ๐ =
๐(๐1,๐)
๐ถ๐พโ1
๐1
๐(๐2,๐)
๐ถ๐พโ2
๐1 โฏ
๐(๐๐ถ,๐)
๐ถ๐พโ๐ถ
๐1
๐(๐1,๐)
๐ถ๐พโ1
๐2
๐(๐2,๐)
๐ถ๐พโ2
๐2 โฏ
๐(๐๐ถ,๐)
๐ถ๐พโ๐ถ
๐2
โฎโฎ
๐(๐1,๐)
๐ถ๐พโ1
๐(๐ถ๐ โ 1)
๐(๐2,๐)
๐ถ๐พโ2
๐๐ถ๐ โ 1 โฏ
๐(๐๐ถ,๐)
๐ถ๐พโ๐ถ
๐๐ถ๐ โ 1
๐(๐1,๐)
๐ถ๐พโ1
๐๐ถ๐
๐(๐2,๐)
๐ถ๐พโ2
๐๐ถ๐ โฏ
๐(๐๐ถ,๐)
๐ถ๐พโ๐ถ
๐๐ถ๐
๐ ๐ง = ๐๐๐ผ + ๐=1,๐โ๐ถ๐ ๐( ๐ป๐
๐ ๐ป๐๐ +
)
๐ป๐๐= ๐(๐๐,๐)
โ๐๐(1)
โ๐๐(2)
โฎ
โ๐๐(๐ถ๐ โ 1)
โ๐๐(๐ถ๐)
![Page 20: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/20.jpg)
Simulation
โข (M=2 , K=2, C = 1-9, N=100)โข Over 2D model of small cells 10x10 gridโข 2 transmit antenna at each base station, each user has one receive
antennaโข Cluster size from 1 cell to 9 cells.โข Small cell power P=20dBmโข Cell range 30mโข Path loss 15.3+37.6*log(d)โข Noise No= -104dBmโข Users located (2 user at each base station) at distance d symmetrically
(horizontally), change d from 1 to 30m.โข Calculate rate for one user and multiply with CN (Each user is
symmetric). Total Cluster Network Rate (Normalized for each time slot)
![Page 21: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/21.jpg)
Simulation
200 250 300 350
180
200
220
240
260
280
300
320
340
360
0 5 10 15 20 25 3020
25
30
35
40
45
50
Distance (meters)
Tota
l N
etw
ork
Rate
N=1 / Rate is normalized for each time slot
Sync BIA
Proposed Solution
Network Coordination
0 5 10 15 20 25 3015
20
25
30
35
40
45
50
55
60
Distance (meters)
Tota
l N
etw
ork
Rate
N=2 / Rate is normalized for each time slot
Sync BIA
Proposed Solution
Network Coordination
200 250 300 350
180
200
220
240
260
280
300
320
340
360
![Page 22: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/22.jpg)
Simulation
0 5 10 15 20 25 3010
20
30
40
50
60
70
80
90
Distance (meters)
Tota
l N
etw
ork
Rate
N=3 / Rate is normalized for each time slot
Sync BIA
Proposed Solution
Network Coordination
200 250 300 350
180
200
220
240
260
280
300
320
340
360
200 250 300 350
180
200
220
240
260
280
300
320
340
360
0 5 10 15 20 25 300
20
40
60
80
100
120
140
Distance (meters)
Tota
l N
etw
ork
Rate
N=5 / Rate is normalized for each time slot
Sync BIA
Proposed Solution
Network Coordination
![Page 23: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/23.jpg)
Simulation
0 100 200 300 400 500 6000
100
200
300
400
500
600
0 5 10 15 20 25 300
5
10
15
20
25
Distance (meters)
Tota
l N
etw
ork
Rate
N=1 / Rate is normalized for each time slot
Sync BIA
Proposed Solution
Network Coordination
0 5 10 15 20 25 300
10
20
30
40
50
60
70
Distance (meters)
Tota
l N
etw
ork
Rate
N=3 / Rate is normalized for each time slot
Sync BIA
Proposed Solution
Network Coordination
0 100 200 300 400 500 6000
100
200
300
400
500
600
![Page 24: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/24.jpg)
FURTHER STEPSโข Power Controlโข Scheduling / Code Assignmentโข Performance with non constant channel assumptionโข Super-symbol design at Transmitter Sideโข Partial Connectivity / Threshold Designโข Soft Clustering / Graph Model
![Page 25: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/25.jpg)
Super Symbol Design At Transmitter Side
โข Using Random unitary matrix at transmitter side
๐ =๐1๐10
๐ฅ11
๐ฅ21 +
๐20๐2
๐ฅ12
๐ฅ22
๐ฆ1(1)
๐ฆ1(2)
๐ฆ1(3)
=โ๐1โ๐10
๐ฅ11
๐ฅ21 +
โ๐20โ๐2
๐ฅ12
๐ฅ22
๐ฆ2(1)
๐ฆ2(2)
๐ฆ2(3)
=
๐๐20
๐๐2
๐ฅ12
๐ฅ22 +
๐๐1๐๐10
๐ฅ11
๐ฅ21
Rank 1 Interference to be canceled
๐ =๐1๐20
๐ฅ11
๐ฅ21 +
๐20๐2
๐ฅ12
๐ฅ22 -Again one user still have rank 1 instead of full rank
-Super-symbol design should be longer if we want to create the diversity at transmitter side
![Page 26: Blind Interference Alignment for Small Cells](https://reader030.vdocuments.site/reader030/viewer/2022012409/616a527811a7b741a3513c0e/html5/thumbnails/26.jpg)
THANK YOU