Title
Diffusion Lms With Communication Delays: Stability And Performance Analysis
Abstract
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 mean-square-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.
Year
DOI
Venue
2020
10.1109/LSP.2020.2990086
IEEE SIGNAL PROCESSING LETTERS
Keywords
DocType
Volume
Communication delays, distributed estimation, diffusion LMS, performance analysis, stability
Journal
27
ISSN
Citations 
PageRank 
1070-9908
0
0.34
References 
Authors
27
5
Name
Order
Citations
PageRank
Fei Hua192.83
Roula Nassif2576.89
Cédric Richard394071.61
Haiyan Wang43916.48
Ali H. Sayed59134667.71