Stability analysis of the noncanonical LMS (NCLMS) algorithm

Author

Gan, W.S. ; Soraghan, J.J. ; Stewart, R.W. ; Durrani, T.S.

Author_Institution

Dept. of Electron. & Electr. Eng., Strathclyde Univ., Glasgow, UK

Volume

4

fYear

1992

fDate

23-26 Mar 1992

Firstpage

65

Abstract

The stability of the noncanonical least mean square (NCLMS) algorithm is investigated. The NCLMS effectively uses a different step size for each tap coefficient position during adaptation. The classical LMS step size bound cannot be directly applied to the NCLMS. The weight error vector is modeled as a first-order difference equation and a stability bound for the NCLMS is derived. Simulation results are presented to back up the analysis

Keywords

adaptive filters; difference equations; digital filters; least squares approximations; stability; adaptive filters; first-order difference equation; least mean square algorithm; noncanonical LMS algorithm; stability analysis; Adaptive filters; Analytical models; Convergence; Difference equations; Finite impulse response filter; Gallium nitride; Least squares approximation; Signal processing algorithms; Stability analysis; Very large scale integration;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on

Conference_Location

San Francisco, CA

ISSN

1520-6149

Print_ISBN

0-7803-0532-9

Type

conf

DOI

10.1109/ICASSP.1992.226410

Filename

226410