Joint Optimization of Gain and Beaconing for First Order Consensus under Rayleigh Fading

We consider distributed first order average consensus in wireless networked systems. Two optimization parameters (discrete gain and beaconing frequency) are considered in a mathematical framework. The framework is derived by extending the L2 joint spectral radius to a joint numerical radius and by d...

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Bibliographic Details
Main Authors: Schneider, Daniel, Frey, Hannes
Format: Conference Proceeding
Language:English
Subjects:
Convergence
Laplace equations
Optimization
Peer-to-peer computing
Rayleigh channels
Symmetric matrices
Online Access:Request full text
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Summary:We consider distributed first order average consensus in wireless networked systems. Two optimization parameters (discrete gain and beaconing frequency) are considered in a mathematical framework. The framework is derived by extending the L2 joint spectral radius to a joint numerical radius and by deriving a closed form expression on beaconing success under Rayleigh fading. With our theoretical insights we derive a two-step heuristic which optimizes both parameters and requires significantly less information about the network compared to a global optimization. The heuristic is evaluated numerically and compared to the optimal solution. The simulated cases show that our heuristic can get close to the optimal solution.
ISSN:2637-9430
DOI:10.1109/ICCCN.2019.8847144