Adaptive filter theory
Matrix computations (3rd ed.)
Performance analysis of the DCT-LMS adaptive filtering algorithm
Signal Processing
Adaptive Filters: Theory and Applications
Adaptive Filters: Theory and Applications
Complexity considerations for transform-domain adaptive filters
Signal Processing
Accelerating the convergence of the lms adaptive algorithm
Accelerating the convergence of the lms adaptive algorithm
Toeplitz And Circulant Matrices: A Review (Foundations and Trends(R) in Communications and Information Theory)
A fast wavelet transform-domain LMS algorithm
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 03
Transform-domain adaptive filters: an analytical approach
IEEE Transactions on Signal Processing
Wavelet transform domain adaptive FIR filtering
IEEE Transactions on Signal Processing
Wavelet transform based adaptive filters: analysis and new results
IEEE Transactions on Signal Processing
Transform domain adaptive linear phase filter
IEEE Transactions on Signal Processing
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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.