Title
A Connection Between the Kalman Filter and an Optimized LMS Algorithm for Bilinear Forms.
Abstract
The system identification problem becomes more challenging when the parameter space increases. Recently, several works have focused on the identification of bilinear forms, which are related to the impulse responses of a spatiotemporal model, in the context of a multiple-input/single-output system. In this framework, the problem was addressed in terms of the Wiener filter and different basic adaptive algorithms. This paper studies two types of algorithms tailored for the identification of such bilinear forms, i.e., the Kalman filter (along with its simplified version) and an optimized least-mean-square (LMS) algorithm. Also, a comparison between them is performed, which shows interesting similarities. In addition to the mathematical derivation of the algorithms, we also provide extensive experimental results, which support the theoretical findings and indicate the good performance of the proposed solutions.
Year
DOI
Venue
2018
10.3390/a11120211
ALGORITHMS
Keywords
Field
DocType
adaptive filter,Kalman filter,optimized LMS algorithm,bilinear forms,system identification
Least mean squares filter,Wiener filter,Mathematical optimization,Bilinear form,Algorithm,Kalman filter,Impulse (physics),Parameter space,Adaptive filter,System identification,Mathematics
Journal
Volume
Issue
ISSN
11
12
1999-4893
Citations 
PageRank 
References 
0
0.34
15
Authors
4
Name
Order
Citations
PageRank
Laura Dogariu163.92
Silviu Ciochina228535.23
Constantin Paleologu322735.46
Jacob Benesty4325.57