1. Steady-State Analysis of Diffusion LMS Adaptive Networks With Noisy Links.
- Author
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Khalili, Azam, Tinati, Mohammad Ali, Rastegarnia, Amir, and Chambers, Jonathon A.
- Subjects
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SIGNAL-to-noise ratio , *SIGNAL processing mathematics , *DIGITAL signal processing -- Mathematics , *DIGITAL signal processing , *LEAST squares , *CURVE fitting - Abstract
In this correspondence, we analyze the effects of noisy links on the steady-state performance of diffusion least-mean-square (LMS) adaptive networks. Using the established weighted spatial-temporal energy conservation argument, we derive a variance relation which contains moments that represent the effects of noisy links. We evaluate these moments and derive closed-form expressions for the mean-square deviation (MSD), excess mean-square error (EMSE) and mean-square error (MSE) to explain the steady-state performance at each individual node. The derived expressions, supported by simulations, reveal that unlike the ideal link case, the steady-state MSD, EMSE, and MSE curves are not monotonically increasing functions of the step-size parameter when links are noisy. Moreover, the diffusion LMS adaptive network does not diverge due to noisy links. [ABSTRACT FROM PUBLISHER]
- Published
- 2012
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