Diffusion LMS with Communication Delays: Stability and Performance Analysis
- Others:
- Northwestern Polytechnical University [Xi'an] (NPU)
- American University of Beirut [Beyrouth] (AUB)
- Joseph Louis LAGRANGE (LAGRANGE) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de la Côte d'Azur ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Université Côte d'Azur (UCA)-Université Côte d'Azur (UCA)-Centre National de la Recherche Scientifique (CNRS)
- Ecole Polytechnique Fédérale de Lausanne (EPFL)
- ANR-19-CE48-0002,DARLING,Adaptation et apprentissage distribués pour les signaux sur graphe(2019)
- ANR-19-P3IA-0002,3IA@cote d'azur,3IA Côte d'Azur(2019)
Description
We study the problem of distributed estimation over adaptive networks where communication delays exist between nodes. In particular, we investigate the diffusion Least-Mean-Square (LMS) strategy where delayed intermediate estimates (due to the communication channels) are employed during the combination step. One important question is: Do the delays affect the stability condition and performance? To answer this question, we conduct a detailed performance analysis in the mean and in the mean-square-error sense of the diffusion LMS with delayed estimates. Stability conditions, transient and steady-state meansquare-deviation (MSD) expressions are provided. One of the main findings is that diffusion LMS with delays can still converge under the same step-sizes condition of the diffusion LMS without delays. Finally, simulation results illustrate the theoretical findings.
Abstract
International audience
Additional details
- URL
- https://hal.archives-ouvertes.fr/hal-03347250
- URN
- urn:oai:HAL:hal-03347250v1
- Origin repository
- UNICA