Analysis of LMS and NLMS algorithms with delayed coefficient update under the presence of spherically invariant processes

Author

Rupp, Markus ; Frenzel, Rudi

Author_Institution

Inst. fur Netzwerk- und Signaltheorie, Darmstadt, Germany

Volume

42

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

668

Lastpage

672

Abstract

Certain conditions require a delay in the coefficient update of the least mean square (LMS) and normalized least mean square (NLMS) algorithms. This paper presents an in-depth analysis of these modificated versions for the important case of spherically invariant random processes (SIRPs), which are known as an excellent model for speech signals. Some derived bounds and the predicted dynamic behavior of the algorithms are found to correspond very well to simulation results and a real time implementation on a fixed-point signal processor. A modification of the algorithm is proposed to assure the well known properties of the LMS and NLMS algorithms

Keywords

filtering and prediction theory; least squares approximations; random processes; signal processing; speech analysis and processing; LMS algorithm; NLMS algorithm; adaptive filtering; delayed coefficient update; dynamic behavior; fixed-point signal processor; least mean square; normalized least mean square; real time implementation; simulation results; speech signals; spherically invariant random processes; Algorithm design and analysis; Delay; Least squares approximation; Predictive models; Random processes; Signal analysis; Signal processing; Signal processing algorithms; Speech analysis; Speech processing;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.277860

Filename

277860