title: A fast algorithm for AR parameter estimation using a novel noise-constrained least-squares method.
abstract: In this paper, a novel noise-constrained least-squares (NCLS) method for online autoregressive (AR) parameter estimation is developed under blind Gaussian noise environments, and a discrete-time learning algorithm with a fixed step length is proposed. It is shown that the proposed learning algorithm converges globally to an AR optimal estimate. Compared with conventional second-order and high-order statistical algorithms, the proposed learning algorithm can obtain a robust estimate which has a smaller mean-square error than the conventional least-squares estimate. Compared with the learning algorithm based on the generalized least absolute deviation method, instead of minimizing a non-smooth linear L(1) function, the proposed learning algorithm minimizes a quadratic convex function and thus is suitable for online parameter estimation. Simulation results confirm that the proposed learning algorithm can obtain more accurate estimates with a fast convergence speed.
authors.affiliation: College of Mathematics and Computer Science, Fuzhou University, China. ysxia2001@yahoo.com
authors.forename: Youshen
authors.initials: Y
authors.lastname: Xia
authors.forename: Mohamed S
authors.initials: MS
authors.lastname: Kamel
authors.forename: Henry
authors.initials: H
authors.lastname: Leung
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation; D016018:Least-Squares Analysis; D016011:Normal Distribution; D013997:Time Factors