Steady-State Performance Analysis of a Variable Tap-Length LMS Algorithm

• Published in: IEEE transactions on signal processing Vol. 56; no. 2; pp. 839 - 845
• Main Authors: Yonggang Zhang, Ning Li, Chambers, J.A., Sayed, A.H.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.02.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive filters; Algorithm design and analysis; Algorithms; Applied sciences; Computer simulation; Criteria; Detection, estimation, filtering, equalization, prediction; Digital filters; Digital signal processing; Exact sciences and technology; Information, signal and communications theory; Least mean squares; Least mean squares algorithm; Least squares approximation; Mathematical analysis; Mean square error methods; Performance analysis; Robustness; Signal and communications theory; Signal processing; Signal processing algorithms; Signal, noise; Steady-state; steady-state performance analysis; Telecommunications and information theory; variable tap-length LMS algorithm; Performance evaluation; Simulation; steady-state performance analysis; Adaptive filters; variable tap-length LMS algorithm; Adaptive filter; Mathematical model; Algorithm; Steady state; Least mean squares methods
• ISSN: 1053-587X; 1941-0476; 1941-0476
• DOI: 10.1109/TSP.2007.907805

A steady-state performance analysis of the fractional tap-length (FT) variable tap-length least mean square (LMS) algorithm is presented in this correspondence. Based on the analysis, a mathematical formulation for the steady-state tap length is obtained. Some general criteria for parameter selection are also given. The analysis and the associated discussions give insight into the performance of the FT algorithm, which may potentially extend its practical applicability. Simulation results support the theoretical analysis and discussions.