Title
First- and Second-Order Moments of the Normalized Sample Covariance Matrix of Spherically Invariant Random Vectors
Abstract
Under Gaussian assumptions, the sample covariance matrix (SCM) is encountered in many covariance based processing algorithms. In case of impulsive noise, this estimate is no more appropriate. This is the reason why when the noise is modeled by spherically invariant random vectors (SIRV), a natural extension of the SCM is extensively used in the literature: the well-known normalized sample covariance matrix (NSCM), which estimates the covariance of SIRV. Indeed, this estimate gets rid of a fluctuating noise power and is widely used in radar applications. The aim of this paper is to derive closed-form expressions of the first- and second-order moments of the NSCM
Year
DOI
Venue
2007
10.1109/LSP.2006.888400
Signal Processing Letters, IEEE
Keywords
Field
DocType
Gaussian processes,covariance matrices,impulse noise,radar signal processing,signal sampling,Gaussian assumption,NSCM,SIRV,closed-form expression,first-order moments,impulsive noise,normalized sample covariance matrix,radar application,second-order moments,spherically invariant random vectors,Estimation,normalized sample covariance matrix (NSCM),performance analysis,spherically invariant random vectors (SIRV)
Mathematical optimization,Covariance function,Estimation of covariance matrices,Law of total covariance,Covariance intersection,Invariant (mathematics),Gaussian process,Covariance mapping,Mathematics,Covariance
Journal
Volume
Issue
ISSN
14
6
1070-9908
Citations 
PageRank 
References 
8
0.79
1
Authors
4
Name
Order
Citations
PageRank
Bausson, S.180.79
Frédéric Pascal212816.30
P. Forster318716.94
Jean Philippe Ovarlez419025.11