Title :
Stability bound for noncanonical LMS
Author :
Gan, W.S. ; Soraghan, John J. ; Stewart, R.W. ; Durrani, T.S.
Author_Institution :
Strathclyde Univ., Glasgow, UK
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 modelled 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 :
difference equations; filtering and prediction theory; signal processing; stability; first order difference equation; least mean square; noncanonical LMS; stability bound; tap coefficient position; weight error vector;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19920318
