Performance of the LMS algorithm on the estimation of time-varying channels

Author

Galdino, Juraci F. ; Pinto, Ernesto L. ; De Alencar, Marcelo S.

Author_Institution

Instituto Militar de Engenharia, Rio de Janeiro, Brazil

Volume

1

fYear

2002

fDate

2002

Firstpage

94

Lastpage

98

Abstract

The performance of the least-mean-square (LMS) algorithm on the estimation of time-varying channels is analytically evaluated, using the estimation error correlation matrix and the mean square error (MSE) as parameters. Expressions for those parameters are obtained from a set of hypotheses usually adopted in the communication systems context. The channel is modeled as a wide sense stationary discrete time stochastic field with known autocorrelation. The expression for the steady state MSE is particularized assuming wide sense stationary-uncorrelated scattering (WSS-US) channel model. Several estimates of MSE curves obtained by computer simulation are compared with analytical results for validation purposes. A very good agreement between simulated and analytical results is shown

Keywords

correlation methods; discrete time systems; estimation theory; least mean squares methods; matrix algebra; mobile radio; time-varying channels; LMS algorithm; MSE; WSS-US channel; autocorrelation; estimation error correlation matrix; least-mean-square algorithm; mean square error; mobile communications receivers; time-varying channels; wide sense stationary discrete time stochastic field; wide sense stationary-uncorrelated scattering channel; Algorithm design and analysis; Autocorrelation; Context; Estimation error; Least squares approximation; Mean square error methods; Performance analysis; Steady-state; Stochastic processes; Time-varying channels;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, 2002. ICC 2002. IEEE International Conference on

Conference_Location

New York, NY

Print_ISBN

0-7803-7400-2

Type

conf

DOI

10.1109/ICC.2002.996824

Filename

996824