Title
Kalman vs H∞ filter in terms of convergence and accuracy: Application to carrier frequency offset estimation
Abstract
H∞ filtering is more and more used in the field of recursive estimation in signal processing. The purpose of this communication is to compare Kalman filtering and H∞ filtering by considering their Ricatti-type equations. Our contribution is twofold: firstly, we show that the H∞ filter can be seen as a Kalman filter with a model-noise covariance matrix that depends on the noise attenuation level and varies in time. Hence, this can explain the convergence properties of the H∞ filter when estimating parameters. The convergence and accuracy properties of both Kalman and H∞ filters are then illustrated by the estimation of a carrier frequency offset in a mobile communication system.
Year
Venue
Keywords
2012
Signal Processing Conference
H∞ filters,Kalman filters,Riccati equations,covariance matrices,mobile communication,recursive estimation,signal processing,H∞ filtering,Kalman filtering,Ricatti-type equations,carrier frequency offset estimation,mobile communication system,model-noise covariance matrix,recursive estimation,signal processing,H∞ filter,Kalman filter,carrier frequency offset,extended H∞ filter,extended Kalman filter
Field
DocType
ISSN
Signal processing,Extended Kalman filter,Alpha beta filter,Fast Kalman filter,Control theory,Filter (signal processing),Kalman filter,Invariant extended Kalman filter,Ensemble Kalman filter,Mathematics
Conference
2219-5491
ISBN
Citations 
PageRank 
978-1-4673-1068-0
1
0.39
References 
Authors
3
4
Name
Order
Citations
PageRank
Héctor Poveda182.61
Eric Grivel213633.92
Guillaume Ferré33613.29
Nicolai Christov485.92