An improved quantization model for the finite precision LMS adaptive algorithm

Author

Seara, Rui ; Bermudez, José Carlos M ; Carpes, Walter P., Jr.

Author_Institution

Dept. de Engenharia Eletrica, Univ. Federal de Santa Catarina, Florianopolis, Brazil

fYear

1993

fDate

3-6 May 1993

Firstpage

858

Abstract

An improved model is presented for the analysis of the errors due to the finite word length digital implementation of the least-mean-square (LMS) algorithm. The new formulation takes into consideration the correlation between the correction term and the corresponding quantization error in the updating equation. Analytical expressions are derived for the MSE (mean-square error). This facilitates the determination of the gain constant required to obtain a desired level of residual MSE. The results are suitable for design purposes. Simulation results are presented which validate the theoretical model proposed

Keywords

adaptive signal processing; error analysis; least mean squares methods; quantisation (signal); finite precision LMS adaptive algorithm; finite word length digital implementation; gain constant; least mean square algorithm; quantization error; quantization model; updating equation; Adaptive algorithm; Adaptive filters; Additive noise; Algorithm design and analysis; Equations; Error analysis; Finite impulse response filter; Least squares approximation; Quantization; Transversal filters;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on

Conference_Location

Chicago, IL

Print_ISBN

0-7803-1281-3

Type

conf

DOI

10.1109/ISCAS.1993.393858

Filename

393858