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Grenoble Images Parole Signal Automatique Collection effective à partir du 1er janvier 2007, date de création du laboratoire GIPSA-lab |
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Grenoble Images Parole Signal Automatique Collection effective à partir du 1er janvier 2007, date de création du laboratoire GIPSA-lab |
| HAL : hal-00633031, version 1 |
| Fiche détaillée |  Récupérer au format |
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| 50th IEEE Conference on Decision and Control and European Control Conference (IEEE CDC-ECC 2011), Orlando, Floride : États-Unis (2011) |
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| Finite-time average consensus based protocol for distributed estimation over AWGN |
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| Alain Y. Kibangou 1, 2 |
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| (15/12/2011) |
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| This paper studies the problem of distributed estimation of a static parameter with sensors communicating through an additive white Gaussian noise (AWGN) channel. In the noiseless case, we first introduce the concept of finite-time average consensus, in which nodes can compute exactly the average in a finite number of steps for an arbitrary graph, provided the topology is time-invariant. In fact, finite-time consensus is achieved owing to joint diagonalizable matrices. By considering a linear iterations scheme, we derive closed form expressions for such matrices. Then, based on an ensemble averaging method we show how average consensus can be asymptotically reached over AWGN channels. Performance analysis of the suggested protocol is given along with comparisons with other methods in the literature. |
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| 1 : | NeCS (INRIA Grenoble Rhône-Alpes / Gipsa-lab) |
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CNRS : UMR5216 – INRIA – Gipsa-lab – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG) |
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| 2 : | Grenoble Images Parole Signal Automatique (GIPSA-lab) |
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CNRS : UMR5216 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Université Stendhal - Grenoble III – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
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| Domaine | : | Informatique/Traitement du signal et de l'image Sciences de l'ingénieur/Traitement du signal et de l'image |
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| Distributed estimation – Consensus |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00633031, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00633031 | |
| oai:hal.archives-ouvertes.fr:hal-00633031 | |
| Contributeur : Alain Kibangou | |
| Soumis le : Lundi 17 Octobre 2011, 13:34:09 | |
| Dernière modification le : Mercredi 9 Novembre 2011, 21:20:44 | |
