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Resource Allocation Techniques
for Cellular Networks in TV
White Space Spectrum
Farzad Hessar, Sumit Roy
University of Washington
April 2014
Outline
Introduction
Primary/Secondary Network Architecture
Channel Allocation Formulation
Solutions
Greedy
Optimal
Numerical Results
Conclusion/Future Works
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Introduction
Dynamic Spectrum Access (DSA)
Database Approach
Spectrum Sensing Approach
Database Approach Requirements
Known Primary Users (PU)
Sharing PU Technical Details
Slow Variation of PU Specification
Practical Case: TV White Space Spectrum
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Database Approach DSA
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Primary/Secondary Network Architecture
Primary Network: Irregular Cells
Secondary Network: Regular cells overlaid with primary
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Primary Network Irregular Cells
Highly Directional Antennas
0
1
30
330
0.8
0.6
Variation of HAAT
60 )
𝚫𝑯(𝜽
𝟎
HAAT(𝜽𝟎 )
300
0.4
0.2
Variation of Δ𝐻
270
𝚫𝑯(𝜽𝟏 )
HAAT(𝜽𝟏 )
90
120
240
HAAT(𝜽
150 𝟐 )
210
180
Pattern
TV Broadcaster Antenna
𝚫𝑯(𝜽
𝟐)
Channel: 5, CallSign:K05KY
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FCC TVWS Regulations
Permissible Channels
Fixed: {2:51}\{3, 4, 37}
Portable: {21:51}\{37}
Power Limits
Antenna Height
Separation Distance (Height-dependent)
Co-channel Protection
Adj-channel Protection
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TVWS Characteristics
Irregular
Primary Cells
FCC
Regulations
- Spatial variation in No. of available
channels
- Location dependent channel quality
- Spatial variation of channel numbers
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TVWS Channel Quality
Location: Seattle, University of Washington
From: http://specobs.ee.washington.edu
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Problem Definition
Basic Question: How do we assign resources (channels)
23
to secondary users in TVWS?
30
47
18
Why is it important?
Why not setup as WiFi network?
23
50
Secondary
18
network in TVWS
are managed by DBA.
35
Regular Cellular Networks
Same set of channels are available
23
every where
30
47 among
difference
29
30
35
47
50
No quality
channels
Main goal is to color the graph based on
number of users.
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Channel Allocation in TVWS
Some Definitions
All permissible channels: 𝐶 = 2,3, … , 36,38, … , 51
Available channels at cell 𝐴𝑖 : Υ 𝐴𝑖 ⊆ 𝐶
For 𝑐 ∈ Υ 𝐴𝑖 specify 𝛾𝑖,𝑃 (𝑐) as the interference level. It
includes co/adjacent channel pollution from primary.
A minimum of one channels must be assigned to each
cell
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Formulate Channel Allocation
Problem formulation 1: For a set of N cells
{𝐴0 , … , 𝐴𝑁−1 }, with channel set Υ 𝐴0 , … , Υ 𝐴𝑁−1 a
channel selection function 𝑓 is desired 𝑓: Υ 𝐴𝑖 → 𝐶𝑖 ⊆
Υ 𝐴𝑖 so that:
Subject to:
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Problem Formulation 1
Pros and Cons for problem formulation-1
Threshold 𝛾𝑡 must be optimally found
Maximizing total number of channels does not necessarily
maximizes capacity
Objective function and Constraints are linear
Standard solver tools exist
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Formulate Channel Allocation
Problem formulation 2: For a set of N cells
{𝐴0 , … , 𝐴𝑁−1 }, with channel set {Υ 𝐴0 , … , Υ 𝐴𝑁−1 } a
channel selection function 𝑓 is desired 𝑓: Υ 𝐴𝑖 → 𝐶𝑖 ∈
Υ 𝐴𝑖 so that:
Subject to:
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Problem Formulation 2
Pros and Cons for Problem formulation-2
No threshold selection is required
Maximizing capacity is guaranteed
Objective function is nonlinear
Standard solver tools do not exist
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Solutions
Suboptimal Greedy Algorithm for Problem Definition-1
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Greedy Solution – Problem 1
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Greedy – Problem 1, cntd.
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Optimal Solution – Problem-1
Channel availability vector 𝐴𝑖𝐶 ×1 ∈ 0,1
𝐶 ×1
Channel assignment vector ℒ𝑖𝐶 ×1 ∈ 0,1
𝐶 ×1
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Optimal Solution – Problem-1
Integer Linear Programming:
Subject to:
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NLIP Solution – Problem 2
Non-linear IP:
Subject to:
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Greedy Solution – Problem 2
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Greedy Solution – Problem 2
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Numerical Results
Scenario
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Numerical Results ctd.
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Numerical Results ctd.
~13% loss
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Numerical Results ctd.
Problem 1 vs. Problem 2
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Conclusion
Resource allocation in secondary cellular networks
Main issues in TVWS spectrum
Variation in number of channels
Variation in channel quality
Problem Formulation
Maximize number of allocated channels IP
Maximize aggregate channel capacity NLIP
Solutions
Problem-1 Greedy / Optimal (complexity exponential)
Problem-2 Greedy / Optimal (work in progress)
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Future Works
Optimal solution to problem-2
Used for benchmarking other solutions
Integration of resource allocation with SpecObs
Real-time user data collection including channel quality
measurements
Real-time channel assignment in DBA server
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References
F. Hessar, S. Roy, Cloud Based Simulation Engine for TVWS. [Online]. Available:
http://specobs.ee.washington.edu
S. Im and H. Lee, “Dynamic spectrum allocation based on binary integer
programming under interference graph,” in Personal Indoor and Mobile Radio
Communications (PIMRC), 2012 IEEE 23rd International Symposium on, 2012,
pp. 226–231.
L. Cao, L. Yang, X. Zhou, Z. Zhang, and H. Zheng, “Optimus: SINR driven
spectrum distribution via constraint transformation,” in New Frontiers in
Dynamic Spectrum, 2010 IEEE Symposium on, 2010, pp. 1–12.
A. Subramanian, M. Al-Ayyoub, H. Gupta, S. Das, and M. Buddhikot, “Nearoptimal dynamic spectrum allocation in cellular networks,” in New Frontiers
in Dynamic Spectrum Access Networks, 2008. DySPAN 2008. 3rd IEEE
Symposium on, 2008, pp. 1–11.
D. Li and J. Gross, “Distributed TV Spectrum Allocation for Cognitive Cellular
Network under Game Theoretical Framework,” in Proc. IEEE International
Symposium on Dynamic Spectrum Access Networks DYSPAN’12, 2012, pp. 327–
338.
F. Hessar and S. Roy, “Capacity Considerations for Secondary Networks in TV
White Space,” University of Washington, Tech. Rep., 2012.
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