Stability and convergence analysis of transform-domain LMS adaptive filters with second-order autoregressive process

Zhao, S, Man, Z, Khoo, S and Wu, H 2009, 'Stability and convergence analysis of transform-domain LMS adaptive filters with second-order autoregressive process', IEEE Transactions on Signal Processing, vol. 57, no. 1, pp. 119-130.


Document type: Journal Article
Collection: Journal Articles

Title Stability and convergence analysis of transform-domain LMS adaptive filters with second-order autoregressive process
Author(s) Zhao, S
Man, Z
Khoo, S
Wu, H
Year 2009
Journal name IEEE Transactions on Signal Processing
Volume number 57
Issue number 1
Start page 119
End page 130
Total pages 12
Publisher IEEE
Abstract In this paper, the stability and convergence properties of the class of transform-domain least mean square (LMS) adaptive filters with second-order autoregressive (AR) process are investigated. It is well known that this class of adaptive filters improve convergence property of the standard LMS adaptive filters by applying the fixed data-independent orthogonal transforms and power normalization. However, the convergence performance of this class of adaptive filters can be quite different for various input processes, and it has not been fully explored. In this paper, we first discuss the mean-square stability and steady-state performance of this class of adaptive filters. We then analyze the effects of the transforms and power normalization performed in the various adaptive filters for both first-order and second-order AR processes. We derive the input asymptotic eigenvalue distributions and make comparisons on their convergence performance. Finally, computer simulations on AR process as well as moving-average (MA) process and autoregressive-moving-average (ARMA) process are demonstrated for the support of the analytical results.
Subject Signal Processing
Keyword(s) Adaptive filters
Discrete cosine transform (DCT)
Discrete Fourier transform (DFT)
Discrete Hartley transform (DHT)
System identification
DOI - identifier 10.1109/TSP.2008.2007618
Copyright notice © 2008 IEEE
ISSN 1053-587X
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 17 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 21 times in Scopus Article | Citations
Altmetric details:
Access Statistics: 115 Abstract Views  -  Detailed Statistics
Created: Wed, 22 Dec 2010, 10:15:00 EST by Catalyst Administrator
© 2014 RMIT Research Repository • Powered by Fez SoftwareContact us