On the optimum step size for the adaptive sign and LMS algorithms

Author

Chen, Rong-Yih ; Wang, Chin-Liang

Author_Institution

Inst. of Electr. Eng., Nat. Tsing Hua Univ., Taiwan

Volume

37

Issue

6

fYear

1990

fDate

6/1/1990 12:00:00 AM

Firstpage

836

Lastpage

840

Abstract

A derivation is presented of the optimum step size to yield the most rapid convergence under a desired mean-square error (MSE) for adaptive finite impulse response digital filters equipped with the sign algorithm or the least-mean-square (LMS) algorithm. For white input data, the optimum step size is a simple closed-form function of the number of filter taps, the input signal variance, the initial MSE, and the desired MSE. This characteristic makes it easily designed in many practical applications. Computer simulations are employed to show the correctness and effectiveness of the derived results

Keywords

adaptive filters; circuit CAD; digital filters; digital simulation; least squares approximations; LMS algorithms; adaptive finite impulse response digital filters; adaptive sign; computer simulation; filter taps; least mean square algorithm; mean-square error; optimum step size; white input data; Adaptive filters; Application software; Computer simulation; Convergence; Digital filters; Echo cancellers; Filtering algorithms; Finite impulse response filter; Information filtering; Least squares approximation;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.55043

Filename

55043