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D. Miorandi & A. Zanella. System Model (2)? Stability condition for the PRR polling scheme: ... D. Miorandi & A. Zanella. Applications ... – PowerPoint PPT presentation

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1
University of Padova

Department of Information Engineering
On the Optimal Topology of Bluetooth Piconets
Roles Swapping Algorithms
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  • www.dei.unipd.it/zanella
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2
University 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
3
Overview
  • 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
4
Background 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
5
System 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
6
System 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
7
Optimal 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
8
Suboptimal 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
9
Results (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
10
Results (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
11
Applications
  • 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
12
Conclusion
  • 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
13
Any Questions?
?
Med-Hoc-Net, Chia, 6 September 2002
D. Miorandi A. Zanella
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