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Theoretical Foundations for ad hoc Wireless Networks
WINLAB Research Review Nov 14, 2006
Theoretical Foundations for ad hoc Wireless Networks WINLAB - - PowerPoint PPT Presentation
Theoretical Foundations for ad hoc Wireless Networks WINLAB Research Review Nov 14, 2006 Roy Yates 1 Radio Resource Management WINLAB Research Review Nov 14, 2006 Roy Yates 2 Trends in Wireless Foundations I Scaling Laws n
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WINLAB Research Review Nov 14, 2006
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WINLAB Research Review Nov 14, 2006
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– n nodes on a unit disk – each node communicates to a random destination at rate R(n) – Total rate T(n)=nR(n) – How does T(n) grow as n→∞?
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– M ≥ 2 nodes cooperate as a MIMO antenna and/or receiver – Nodes with partial information act as relays
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– Conventional single-user decoding – Interfering signals act as noise
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Networks
– Diversity gains in fading channels – Capacity unsolved
antenna clusters
– Rate =O(log M) – Good perf needed coherent signaling
source destination source destination
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– Multihop forwarding – nearest neighbor transmission
⇒ scalable networks
– [Liu,Liu, Towsley 03]
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[Ozgur, Leveque, Tse 2006]
Bit distribution in each M node cluster Cluster to Cluster MIMO M Tx to M Rx M bits sent (n TD stages) Bit collection in each M node cluster
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Network Throughput Boost
[Ozgur, Leveque, Tse 2006]
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Network Throughput Boost
[Ozgur, Leveque, Tse 2006]
b=0 T(n)=O(1) b1=1/2 T(n) = O(n1/2)
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Recursive Network Construction!
[Ozgur, Leveque, Tse 2006]
n n n
+
1
b0=0 O(1) b1=1/2 O(n1/2) b2=2/3 O(n2/3)
b3=3/4 O(n3/4)
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construction really work?
– Routing, addressing?
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Mandayam, Paul, Raychaudhuri, Rose, Spasojevic, Trappe, Yates, Zhang
sensors, multihop ad hoc, vehicular networks
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Advisory Services
Access and Property Rights
Channel
Authentication
University)
Networks
Links
Networks
hop Wireless Networks
Networks
IEEE 802.11 Networks
Haris Kremo
Networks
Interference
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3G/4G RRM 3G/4G RRM Interference Avoidance/ Spectrum Mgmt Interference Avoidance/ Spectrum Mgmt Infostations
Infostations
Ad-Hoc Mobile Netw orks Ad-Hoc Mobile Netw orks Mobile Content Delivery Mobile Content Delivery Self-Organizing Radio Systems Self-Organizing Radio Systems Sensor Netw orks Sensor Netw orks
IAB 2002
Ad-Hoc Mobile Netw orks Ad-Hoc Mobile Netw orks
Veh Vehicu cular Netw orks Netw orks Veh Vehicu cular Netw orks Netw orks
Self-Organizing Radio Systems Self-Organizing Radio Systems Sensor Netw orks Sensor Netw orks
IAB 2006
Secure Secure Wi Wireless reless PHY PHY Secure Secure Wi Wireless reless PHY PHY
Spectrum Mgmt Spectrum Mgmt
ORBI ORBIT grid grid modeling modeling ORBI ORBIT grid grid modeling modeling
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Methods for Efficient Systems
– Conserve Battery, Reduce Interference
– Multihop Forwarding, Multi-antenna Signal Combining, Cooperative Detection
– Local Measurements
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– The Truth About Spectrum Servers: Greedy Users and Resource Allocation Advisory Services
– Dynamic Spectrum Access Models for Bridging the Divide between Open Access and Property Rights
– Distributed Scheduling Algorithms for Dynamic Spectrum Access
– A Framework for Dynamic Spectrum Sharing between Cognitive Radios
– Cognitive Radio: Spectrum Sensing and Signal Identification
– Network Formation Among Selfish Wireless Devices
– Capacity Theorems and Cooperative Strategies for a Multiaccess Relay Channel
– Is User-Cooperation in Wireless Networks Always Beneficial?
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– Pathloss Interpolation for ORBIT Testbed Calibration
– Characterization of the ORBIT Indoor Testbed Radio Environment
– Creating Multi-hop Topologies Through Noise Generation on ORBIT
– Fingerprints in the Ether: Using the Physical Layer for Wireless Authentication
– Information Security for Multi-Terminal Networks
– Channel Surfing: Defending Wireless Sensor Networks from Jamming and Interference
– Power-Modulated Challenge-Response Schemes for Verifying Location Claims
– Secrecy Capacity of Independent Parallel Channels
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Alice Bob Eve
– – The Wiretap Channel [ The Wiretap Channel [Wyner Wyner 1975] 1975] – Broadcast channel [Csiszar & Korner 78]
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1
W X b Y + =
Alice Bob Eve X
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W X g Z + =
( )
+
+ − + = − = ) 1 log( ) 1 log( 2 1 ) ; ( ) ; ( max
) (
gP bP Z X I Y X I C
x P AWGN
(Leung-Yan-Cheong & Hellman 78, Van Dijk 97)
Secrecy capacity is
W1,W2 ~ N(0,1)
CAWGN = 0 if Eve’s channel is better
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[Z. Li, R. Yates, W. Trappe]
– Fading channel state γ = (b,g) – Opportunistic transmission when Bob > Eve
[ ]
)) ( , ( max
) ( : ) ( sec
γ γ
γ γ γ
γ
S C E C
S S E S =
=
+
⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎝ ⎛ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + − ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + = g b gb b g g b W S 1 1 1 1 1 1 4 1 1 2 ) (
2 *
λ γ
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2 4 6 8 10 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 C P[CM > C] M = 16, Ptot = 10 E[g] = -10 dB, optimal E[g] = -10 dB, uniform E[g] = 0 dB, optimal E[g] = 0 dB, uniform E[g] = 10 dB, optimal E[g] = 10 dB, uniform
2 4 6 8 10 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 C P[CM > C] E[g] = 0 dB, Ptot = 10 M = 16, optimal M = 16, uniform M = 32, optimal M = 32, uniform
loss comparing to optimal power allocation, especially at large M
– Loss of about 1~1.5 bits/channel use for M=16 – Loss of about 2~3 bits/channel use for M=32
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[Karakayali, Foschini, Valenzuela, Yates]
– Each mobile served by a unique BS. Mobiles suffer interference.
– Base stations act together, all users are served by all BSs. – Coordinated BS transmissions mitigate interference
– What is the value of BS coordination? Multiple antennas? Goal: Achieve maximum spectral efficiency
signal interference signal useful signal
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Mitigation of Out-of-cell Interference
spectral efficiency:
– Equal rate (ER), to emphasize fairness to users.
signal
NUMBER OF RECEIVE ANTENNAS
10 20 30 40 150 100 50 24dB 18 dB 12dB 6 dB 0 dB
∗
⇐
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ORIGINAL BLAST EXPERIMENT 1998
CAPACITY IN BITS PER SYMBOL
noise+interference
SINR:
~ 0 dB (with interference)
~18dB (without interference)
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Downlink Transmission Methods with Single Antenna Mobiles and Base Stations
MULTIBASE COHERENTLY COORDINATED TRANSMISSION (CCT)
Coherent addition
signal
SINGLE BASE TRANSMISSION (SBT)
interference signal useful signal
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Network Coordination Gains with Multiple Antennas
bits/sec/Hz/base
(1,1) (2,2) (4,4) Full Power Power Control Zero Forcing DPC (# of transmit antennas per base, # of receive antennas per user)
5 10 15 20 25 30
Conventional Networks Inter-base Coordinated Networks
A factor of ~15 improvement in spectral efficiency Upper bound within 1 bits/symbol/base of ZF&DPC
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