On the stochastic modeling and analysis of FxLMS adaptation algorithm

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Authors
Ardekani, Iman
Abdulla, W. H.
Author ORCID Profiles (clickable)
Degree
Grantor
Date
2013
Supervisors
Type
Journal Article
Ngā Upoko Tukutuku (Māori subject headings)
Keyword
stochastic modelling
FxLMS
control systems
adaptive control
controllers
ANZSRC Field of Research Code (2020)
Citation
Ardekani, I.T., and Abdulla, W.H. (2013). On the stochastic modeling and analysis of FxLMS adaptation algorithm. IET Signal Processing. 7(6) : (pp. 486-496)
Abstract
This study represents a stochastic model for the adaptation process performed on adaptive control systems by the filtered-x least-mean-square (FxLMS) algorithm. The main distinction of this model is that it is derived without using conventional simplifying assumptions regarding the physical plant to be controlled. This model is then used to derive a set of closed-form mathematical expressions for formulating steady-state performance, stability condition and learning rate of the FxLMS adaptation process. These expressions are the most general expressions, which have been proposed so far. It is shown that some previously derived expressions can be obtained from the proposed expressions as special and simplified cases. In addition to computer simulations, different experiments with a real-time control setup confirm the validity of the theoretical findings.
Publisher
The Institution of Engineering and Technology
Link to ePress publication
DOI
doi: 10.1049/iet-spr.2012.0090
Copyright holder
The Institution of Engineering and Technology
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All rights reserved
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