Paper Info
Title
Steady-State MSE Performance of the Set-Membership Affine Projection Algorithm
Abstract
The set-membership affine projection (SM-AP) algorithm has many desirable characteristics such as fast convergence speed, low power consumption due to data-selective updates, and low misadjustment. The main reason hindering the widespread use of the SM-AP algorithm is the lack of analytical results related to its steady-state performance. In order to bridge this gap, this paper presents an analysis of the steady-state mean square error (MSE) of a general form of the SM-AP algorithm. The proposed analysis results in closed-form expressions for the excess MSE and misadjustment of the SM-AP algorithm, which are also applicable to many other algorithms. This work also provides guidelines for the analysis of the whole family of SM-AP algorithms. The analysis relies on the energy conservation method and has the attractive feature of not assuming a specific model for the input signal. In addition, the choice of the upper bound for the error of the SM-AP algorithm is addressed for the first time. Simulation results corroborate the accuracy of the proposed analysis.
Year
DOI
Venue
2013
10.1007/s00034-012-9545-4
CSSP
Keywords
Field
DocType
Adaptive signal processing, Set-membership affine projection, Set-membership, Energy conservation, Steady-state MSE
Convergence (routing),Energy conservation,Mathematical optimization,Expression (mathematics),Upper and lower bounds,Control theory,Mean squared error,Adaptive filter,Affine projection algorithm,Steady state,Mathematics
Journal
Volume
Issue
ISSN
32
4
1531-5878
Citations 
PageRank 
References 
14
0.86
16
Authors
2
Name
Order
Citations
PageRank
Markus V. S. Lima15711.75
Paulo S. R. Diniz224738.72