Title
New Normalized LMS Algorithms Based on the Kalman Filter
Abstract
While the LMS algorithm and its normalized version (NLMS), have been thoroughly used and studied. Connections between the Kalman filter and the RLS algorithm have been established however, the connection between the Kalman filter and the LMS algorithm has not received much attention. By linking these two algorithms, a new normalized Kalman based LMS (KLMS) algorithm can be derived that has some advantages to the classical one. Their stability is guaranteed since they are a special case of the Kalman filter. More, they suggests a new way to control the step size, that results in good convergence properties for a large range of input signal powers, that occur in many applications. They prevent high measurement noise sensitivity that may occur in the NLMS algorithm for low order filters, like the ones used in OFDM equalization systems. In these paper, different algorithms based on the correlation form, information form and simplified versions of these are presented. The simplified form maintain the good convergence properties of the KLMS with slightly lower computational complexity.
Year
DOI
Venue
2007
10.1109/ISCAS.2007.378235
New Orleans, LA
Keywords
Field
DocType
Kalman filters,correlation methods,least mean squares methods,Kalman based LMS algorithm,Kalman filter,RLS algorithm,computational complexity,normalized LMS algorithms
Extended Kalman filter,Alpha beta filter,Fast Kalman filter,Computer science,Control theory,Covariance intersection,Algorithm,Kalman filter,Invariant extended Kalman filter,Ensemble Kalman filter,Recursive least squares filter
Conference
ISSN
ISBN
Citations 
0271-4302
1-4244-0921-7
3
PageRank 
References 
Authors
0.39
3
2
Name
Order
Citations
PageRank
P. A. C. Lopes1313.90
José Beltran Gerald230.39