System-theoretic formulation and analysis of dynamic consensus propagation

In our previous work we have proposed a dynamic version of the consensus propagation (CP) algorithm introduced by Moallemi and Van Roy. Here, we pursue a system theoretic approach to the analysis of CR Specifically, we first develop a state-space model for CP and then use this model to prove stabili...

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Bibliographic Details
Main Authors: Schwarz, Valentin, Matz, Gerald
Format: Conference Proceeding
Language:English
Subjects:
Consensus propagation
Convergence
Delay
distributed inference
linear predictor
Numerical models
Predictive models
Stability analysis
state space model
Transfer functions
Wireless sensor networks
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Summary:In our previous work we have proposed a dynamic version of the consensus propagation (CP) algorithm introduced by Moallemi and Van Roy. Here, we pursue a system theoretic approach to the analysis of CR Specifically, we first develop a state-space model for CP and then use this model to prove stability of CP when applied to time-varying processes. We further show how the state-space model can be used to describe the transfer characteristics (spatio-temporal filtering) of CP in terms of attenuation and group delay, both for pure CP and an extended version that uses local linear predictors at the processing nodes. Numerical simulations illustrate our findings.
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.2011.5946294