Title
Statistically optimal null filters: Kalman equivalence
Abstract
A new approach in the enhancement/suppression of narrowband signals, based on the combination of the maximum output SNR and the least-squares optimizing criteria, has been presented previously. The resulting statistically-optimal null filters (SONFs) have also been presented as recursive filters. Because of their time-varying nature, optimality under the MSE criterion and the similarity to the RLS method, it is anticipated that the SONFs may be related to the well known Kalman filter. In this paper, we show the SONFs to be an alternate implementation of the Kalman filter. For the first order case we show this analytically. Due to mathematical intractability, for the higher order case we set up the mathematical formulations and use simulations for verification.
Year
DOI
Venue
2000
10.1109/ICASSP.2000.861904
Acoustics, Speech, and Signal Processing, 2000. ICASSP '00. Proceedings. 2000 IEEE International Conference
Keywords
Field
DocType
Kalman filters,least squares approximations,optimisation,recursive filters,time-varying filters,Kalman filter,SONFs,enhancement,first order case,higher order case,least-squares optimizing criteria,narrowband signal,recursive filters,statistically optimal null filter,suppression,time-varying filter
Extended Kalman filter,Alpha beta filter,Mathematical optimization,Fast Kalman filter,Control theory,Prototype filter,Adaptive filter,Invariant extended Kalman filter,Nonlinear filter,Recursive least squares filter,Mathematics
Conference
Volume
ISSN
ISBN
1
1520-6149
0-7803-6293-4
Citations 
PageRank 
References 
1
0.45
1
Authors
3
Name
Order
Citations
PageRank
R Agarwal113442.76
Plotkin, E.I.263.60
M.N.S., Swamy333444.14