Statistical Analysis of Steepest Descend and LMS Detection Algorithms for MIMO Systems

Author

Zanella, Alberto ; Chiani, Marco ; Win, Moe Z.

Author_Institution

Nat. Res. Council of Italy, Comput. & Telecommun. Eng., Bologna, Italy

Volume

60

Issue

9

fYear

2011

Firstpage

4667

Lastpage

4672

Abstract

We study the performance of steepest descent (SD) and least mean square (LMS) algorithms applied to linear detection for multiple-input multiple-output (MIMO) systems in a correlated Rayleigh fading environment. By using random matrix theory, we first study stability for a fixed step size parameter. Then, we consider two always-stable channel-adaptive strategies for the choice of the step size and analytically evaluate their performance. Finally, we derive bounds on the mean value of misadjustment for the LMS algorithm.

Keywords

MIMO communication; least mean squares methods; statistical analysis; LMS detection algorithm; MIMO system; Rayleigh fading environment; channel-adaptive strategy; least mean square algorithm; linear detection; multiple-input multiple-output system; random matrix theory; statistical analysis; steepest descend; steepest descent; Eigenvalues and eigenfunctions; Fading channels; Least squares approximation; MIMO; Receiving antennas; Signal to noise ratio; Least square mean (LMS) algorithm; Wishart matrices; multiple-input multiple-output (MIMO); steepest descent (SD) algorithm;

fLanguage

English

Journal_Title

Vehicular Technology, IEEE Transactions on

Publisher

ieee

ISSN

0018-9545

Type

jour

DOI

10.1109/TVT.2011.2170185

Filename

6032119