Distributed averaging on digital noisy networks

Summary, in English

We consider a class of distributed algorithms for computing arithmetic averages (average consensus) over net- works of agents connected through digital noisy broadcast channels. Our algorithms combine error-correcting codes with the classical linear consensus iterative algorithm, and do not require the agents to have knowledge of the global network structure. We improve the performance by introducing in the state-upadate a compensation for the quantization error, avoiding its accumulation. We prove almost sure convergence to state agreement, and we discuss the speed of convergence and the distance between the asymptotic value and the average of the initial values.

• Author: Ruggero Carli; Giacomo Como; Paolo Frasca; Federica Garin
• Department/s: Department of Automatic Control; ELLIIT: the Linköping-Lund initiative on IT and mobile communication
• Publishing year: 2011
• Language: English
• Document type: Conference paper
• Topic: Control Engineering
• Conference name: Information Theory and Applications Workshop (ITA), 2011
• Conference date: 2011-02-06 - 2011-02-11
• Conference place: San Diego, CA, United Kingdom
• Status: Published
• Research group: LCCC