Analysis of adaptive LMS estimator with cyclic sequences in complex frequency domain

Author

Liu, Ging-Shing ; Wei, Che-Ho

Author_Institution

Inst. of Electron., Nat. Chiao Tung Univ., Hsinchu, Taiwan

Volume

42

Issue

12

fYear

1995

fDate

12/1/1995 12:00:00 AM

Firstpage

829

Lastpage

832

Abstract

Cyclic sequences are usually employed as the reference sequences in the adaptive filtering systems for signal or channel estimation. In this situation, the stability of an adaptive filter can be analyzed by an equivalent transfer function in complex frequency domain. For several special classes of cyclic reference sequences, the stability bounds of the adaptive filter with least mean-square (LMS) algorithm and its variants, leaky-LMS (L-LMS) and minimum output variance LMS (MOV-LMS), are obtained. Effects of these algorithms on the resultant transfer functions and the stability bounds are also investigated

Keywords

adaptive estimation; adaptive filters; estimation theory; filtering theory; least mean squares methods; adaptive LMS estimator; adaptive filtering systems; channel estimation; complex frequency domain; cyclic reference sequences; equivalent transfer function; filter stability; leaky-LMS; least mean-square algorithm; minimum output variance LMS; signal estimation; stability bounds; Adaptive filters; Analog-digital conversion; Circuits; Frequency domain analysis; Frequency estimation; Least squares approximation; Optical signal processing; Signal processing algorithms; Stability analysis; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.476182

Filename

476182