CS541 Advanced Networking 1 Spectrum Sharing in Cognitive Radio Networks Neil Tang 3/23/2009
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CS541 Advanced Networking 1 Spectrum Sharing in Cognitive Spectrum Sharing in Cognitive Radio Networks Radio Networks Neil Tang Neil Tang 3/23/2009 3/23/2009
CS541 Advanced Networking 1 Spectrum Sharing in Cognitive Radio Networks Neil Tang 3/23/2009
CS541 Advanced Networking 1 Spectrum Sharing in Cognitive Radio
Networks Neil Tang 3/23/2009
Slide 2
CS541 Advanced Networking 2 Outline References A Cognitive
Radio Network System Model Problem Definition Proposed Algorithms
Simulation Results Conclusions
Slide 3
CS541 Advanced Networking 3 References J. Tang, S. Misra and G.
Xue, Joint spectrum allocation and scheduling for fair spectrum
sharing in cognitive radio wireless networks, Computer Networks,
Vol. 52, No. 11, 2008, pp. 2148-2158.
Slide 4
CS541 Advanced Networking 4 A Cognitive Radio Network
Slide 5
CS541 Advanced Networking 5 Assumptions A user refers to a
transmitter-receiver pair. The channels available to each user are
known in advance. A user can dynamically access a channel to
deliver its packets, but can only work on one of the available
channels at one time. Half-duplex, unicast communications and no
collisions. A scheduling-based MAC layer. A spectrum server
controlling the spectrum allocation and scheduling.
CS541 Advanced Networking 7 Interference Model Protocol Model:
C(a) = C(b) and (d(A,D) R I or d(C,B) R I ) AB CD a b
Slide 8
CS541 Advanced Networking 8 Interference Model Physical
Model
Slide 9
CS541 Advanced Networking 9 Problem Definition A user-channel
pair (i, j) A iff channel j is available to user i. The total
number of user-channel pairs is bounded by N*C. A traffic demand
vector d = [d1, d2, , d N ], specifying the traffic demand of each
user. A transmission mode is composed of a subset of user-channel
pairs which can be active concurrently. Whether concurrent
transmissions are allowed or not can be determined based on the
interference models.
Slide 10
CS541 Advanced Networking 10 Problem Definition A transmission
mode can be used in one timeslot. We wish to find a transmission
schedule vector p=[p 1,p 2, , p T ], where p t is the fraction of
time that transmission mode t is activated. Suppose that all
possible transmission modes are given. The scheduling problem is to
determine the frame length L and the number of active time slots p
t *L of each transmission mode in one frame. A rate allocation
vector r = [r 1, r 2, , r N ] and a corresponding DSF vector = [ 1,
2, , N ] = [r 1 /d 1, r 2 /d 2, , r N /d N ].
Slide 11
CS541 Advanced Networking 11 Problem Definition All problems
seeks a feasible rate allocation vector r, all transmission modes
along with a feasible transmission schedule vector The objective of
the MAximum throughput Spectrum allocation and Scheduling (MASS)
problem is maximizing the network throughput The objective of the
Max-min MAximum throughput Spectrum allocation and Scheduling
(MMASS) problem is maximizing the network throughput under the
condition min DSF is maximum among all feasible rate allocation
vectors. The objective of the Proportional fAir Spectrum allocation
and Scheduling (PASS) problem is maximizing the utility function
log( i )
Slide 12
CS541 Advanced Networking 12 Multi-Channel Contention Graph
(MCCG) A transmission mode based on protocol interference model
corresponds to a Maximal Independent Set (MIS) in MCCG.
Slide 13
CS541 Advanced Networking 13 Proposed Algorithms Find all
transmission modes (optimal) based on MCCG or a good subset of
transmission modes (heuristic). Formulate LPs or CP to solve the
defined problems.
Slide 14
CS541 Advanced Networking 14 Compute Transmission Modes for
Protocol Model Compute all MISs in MCCG: existing algorithms
Compute a subset of MISs: - Start from a node, keep adding other
nodes until no more can be added. Then we obtain one MIS. - Go
through every node. - Repeat such procedure q times. - Adding
criteria in each step: w(v) = (d (v) c v )/(X[v] + 1))
Slide 15
CS541 Advanced Networking 15 LP for MASS
Slide 16
CS541 Advanced Networking 16 LPs for MMASS
Slide 17
CS541 Advanced Networking 17 CP for PASS
Slide 18
CS541 Advanced Networking 18 Compute Transmission Modes for
Physical Model
Slide 19
CS541 Advanced Networking 19 Simulation Results Protocol
Model
Slide 20
CS541 Advanced Networking 20 Simulation Results Physical
Model
Slide 21
CS541 Advanced Networking 21 Simulation Results
Slide 22
CS541 Advanced Networking 22 Conclusions Our numerical results
have shown that the performance given by our heuristic algorithms
is very close to that of the optimal solutions. A good tradeoff
between throughput and fairness can be achieved by our PASS
algorithms.