Title :
The Steady-State Mean-Square Error Analysis for Least Mean
-Order Algorithm
Author :
Lin, Bin ; He, Rongxi ; Wang, XuDong ; Wang, Baisuo
Author_Institution :
Coll. of Inf. Eng., Dalian Maritime Univ., Dalian
fDate :
3/1/2009 12:00:00 AM
Abstract :
Based on series expansion, the steady-state mean-square error (MSE) analysis for real and complex least mean p-order (LMP) algorithm is developed, and some closed-form analytical expressions for the steady-state MSE and the corresponding restrictive conditions for step-size are given. Moreover, in Gaussian noise environments, its steady-state performance is also investigated. The analyses for some well-known algorithms and the computer simulation validate the accuracy of the results.
Keywords :
Gaussian noise; adaptive filters; mean square error methods; series (mathematics); Gaussian noise; least mean p-order algorithm; series expansion; steady-state mean-square error analysis; Adaptive filters; Algorithm design and analysis; Communication system control; Control systems; Error analysis; Estimation error; Image analysis; Least squares approximation; Signal analysis; Steady-state; Energy conservation; Taylor series expression; mean-square error; steady-state analysis;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2008.2011701