Title: Presentazione di PowerPoint
1University of Padova
Department of Information Engineering
On the Optimal Topology of Bluetooth Piconets
Roles Swapping Algorithms
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2University of Padova
Department of Information Engineering
On the Optimal Topology of Bluetooth Piconets
Roles Swapping Algorithms
Med-Hoc-Net 2002 , Chia (Italy), 6 September 2002
3Overview
- Intro to Bluetooth system
- Mathematical model
- Stability issues delay analysis
- Optimal criterion for off-line topologies design
- Suboptimal criterion for real-time network
reconfiguration - Conclusion discussion
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
4Background BT system architecture
- Two up to eight active Bluetooth devices sharing
the same FH channel form a piconet. - In each piconet, a unit acts as a master, the
others act as slaves. - Channel access is based on a centralized polling
scheme. - Full duplex is achieved by means of time division
duplexing (TDD).
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
5System Model
- Cluster of N1 nodes (N?7)?
- Assumptions
- All nodes are in-range
- Independent Poisson traffic model
- Definitions
- ?di,j End-to-end traffic matrix
- ??i,j Effective traffic pattern matrix
- k master unit
- Pk, ? piconet
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
6System Model (2)?
- Stability condition for the PRR polling scheme
- Definition A traffic matrix is admissible
if there is a master choice k s.t. the stability
condition holds (i.e. there is a stable
topology). - Definition A traffic matrix is fully
admissible if the stability conditions hold for
any choice of the master k. - Proposition A traffic matrix is fully
admissible if and only if the following
conditions hold - Proposition A traffic matrix is admissible
if and only if the following conditions hold
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
7Optimal Criterion
- Average link delay
-
- Average packet delay
- Total offered traffic
- Average network delay
- Criterion I choose k s.t.
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
8Suboptimal Criterion
- Effective offered traffic
- Reasoning
- The more the effective traffic, the closer we get
to the stability limit. - The closer to the stability limit, the higher the
delay. - Criterion II choose k s.t.
-
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
9Results (1)?
- At medium-to-high loads, both criterion offer a
remarkable performance improvement. - The suboptimal criterion leads to good results,
even if far from optimality.
N5, matrix entries uniformly distributed in
(0,1)
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
10Results (2)?
- The delays are significantly higher in the sparse
case. - Both criterion offer valuable performance
improvement.
N5, matrix entries uniformly distributed in
(0,1), average density of 0.4
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
11Applications
- Optimal design of a static Bluetooth piconet
(e.g., sensor networks). - Dynamic reconfiguration of a Bluetooth piconet
- The suboptimal criterion may be used to find
efficient configurations (and adapt to varying
traffic conditions). - Connection admission control check for
admissibility of the resulting traffic matrix.
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
12Conclusion
- An analytical settlement for the characterization
of efficient piconet topologies has been
proposed. - Two algorithms for the master choice (an optimal
and a suboptimal with low computational
complexity) have been presented. - Simulation have been performed to show the impact
on network performance. - Some possible applications have been presented.
- Next step towards efficient scatternet
topologies.
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
13Any Questions?
?
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella