New adaptive modeling algorithms utilizing the dynamics of multidegree-of-freedom system

Author

Teng, Wang ; Guirong, Yan ; Yuhang, Han

Author_Institution

State Key Lab. of Mech. Struct. Strength & Vibration, Xi´´an Jiao Tong Univ., China

Volume

12

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

504

Lastpage

507

Abstract

We propose a new adaptive modeling algorithm, nonlinear multidegree-of-freedom (NLMDF). The underlying idea is to assimilate the adaptive modeling process of iteration for the optimal solution to a particle´s movement on the mean-square error (MSE) surface geometry, which is imagined to be located in the gravitational field. The new algorithm is derived by incorporating a viscous damping force in the particle movement differential equation. A new variable step size least mean square (LMS) algorithm-new variable step LMS (NVLMS)-is derived from the NLMDF algorithm by choosing specific value for the damping parameter in the NLMDF recursion. The simulation results show a faster rate of convergence for the new algorithms as compared with the damping force LMS (DFLMS) algorithm and the LMS algorithm with a white or colored noise input signal.

Keywords

adaptive filters; algorithm theory; convergence of numerical methods; differential equations; filtering theory; iterative methods; least mean squares methods; MSE; NLMDF; NVLMS; adaptive modeling algorithm; convergence; damping parameter; iteration method; least mean squares; mean-square error; new variable step LMS; nonlinear multidegree-of-freedom; particle movement differential equation; surface geometry; viscous damping force; Convergence; Damping; Differential equations; Filtering algorithms; Geometry; Heuristic algorithms; Least squares approximation; Nonlinear dynamical systems; Vectors; Vibrations; Adaptive modeling; LMS algorithm; new variable step least mean square (NVLMS) algorithm; nonlinear multidegree-of-freedom (NLMDF) algorithm;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2005.849494

Filename

1453545