Title
A new diffusion variable spatial regularized LMS algorithm
Abstract
AbstractHighlights •A new diffusion least mean squares algorithm for multitask problems.•Estimation bias and variance analysis in terms of the spatial regularization parameter.•A new practical variable spatial regularization formula for diffusion least mean squares algorithm. AbstractThis paper develops a new diffusion (Diff) least mean squares (LMS) algorithm for the identification of a network of systems that have distinct parameters at each node. The mean and mean squares behavior of the Diff-LMS algorithm in the so called multitask environment is studied in order to obtain an explicit expression of the estimation bias and variance in terms of the spatial regularization (SR) parameter. An optimal SR formula for the Diff LMS algorithm is then derived via minimizing the estimation error. An approximation is made to the formula such that a new practical Diff variable SR LMS (Diff-VSR-LMS) algorithm is obtained. This paper also provides a framework for the design of other LMS-like algorithms that incorporate diffusion technology to solve multitask problems. The theoretical analysis is evaluated via computer simulations and the performance of the proposed algorithm is compared with conventional Diff LMS algorithms under the multitask environment.
Year
DOI
Venue
2021
10.1016/j.sigpro.2021.108207
Periodicals
Keywords
DocType
Volume
Diffusion LMS algorithm, Variable spatial regularization, Performance analysis
Journal
188
Issue
ISSN
Citations 
C
0165-1684
1
PageRank 
References 
Authors
0.35
0
4
Name
Order
Citations
PageRank
Y. J. Chu111.03
S. C. Chan269073.18
Yi Zhou3159.83
M. Wu411.03