Paper Info
Title
On Convergence of Proportionate-Type Normalized Least Mean Square Algorithms
Abstract
In this paper, a new convergence analysis is presented for a well-known sparse adaptive filter family, namely, the proportionate-type normalized least mean square (PtNLMS) algorithms, where, unlike all the existing approaches, no assumption of whiteness is made on the input. The analysis relies on a “transform” domain based model of the PtNLMS algorithms and brings out certain new convergence features not reported earlier. In particular, it establishes the universality of the steady-state excess mean square error formula derived earlier under white input assumption. In addition, it brings out a new relation between the mean square deviation of each tap weight and the corresponding gain factor used in the PtNLMS algorithm.
Year
DOI
Venue
2015
10.1109/TCSII.2014.2386261
Circuits and Systems II: Express Briefs, IEEE Transactions  
Keywords
Field
DocType
excess mean square error (emse),pnlms algorithm,ptnlms algorithm,sparse adaptive filters,stability of emse,excess mean-square error (emse),indexes,vectors,adaptive filters,steady state,algorithm design and analysis,convergence
Convergence (routing),Least mean squares filter,Applied mathematics,Normalization (statistics),Control theory,Minimum mean square error,Root-mean-square deviation,Adaptive filter,Universality (philosophy),Statistics,Recursive least squares filter,Mathematics
Journal
Volume
Issue
ISSN
62
5
1549-7747
Citations 
PageRank 
References 
14
0.61
10
Authors
2
Name
Order
Citations
PageRank
Rajib Lochan Das1354.97
Mrityunjoy Chakraborty212428.63