Paper Info
Title
Robustness Analysis of Spatial Time-Frequency Distributions Based on the Influence Function
Abstract
Standard spatial time-frequency distribution (STFD) estimators, derived based on the Gaussian noise assumption, are known to have poor performance in the case of impulsive noise. Recently, different STFD estimators have been proposed, which, based on simulations, are claimed to be robust. In this paper, we provide an influence function robustness analysis of STFD estimators. We derive the influence functions for the asymptotic and for the finite-sample case and study robustness of the standard, as well as for some recently proposed robust STFD estimators. The empirical influence function gives practitioners a simple way to pre-select STFD estimators for their scenario. Our analysis confirms that, unlike for the standard estimator, the proposed robust estimators yield a bounded influence function and are robust over a broad class of distributions. Future research on STFD estimation will allow for the design of robust and efficient estimators based on the influence function.
Year
DOI
Venue
2013
10.1109/TSP.2013.2246155
IEEE Transactions on Signal Processing
Keywords
Field
DocType
Direction-of-arrival estimation,impulsive noise,influence function,robust estimation,time-frequency analysis
Applied mathematics,Mathematical optimization,Robustness (computer science),Impulse noise,Time–frequency analysis,Influence function,Statistics,Gaussian noise,Mathematics,Bounded function,Estimator
Journal
Volume
Issue
ISSN
61
8
1053-587X
Citations 
PageRank 
References 
1
0.35
20
Authors
3
Name
Order
Citations
PageRank
Waqas Sharif110.35
Michael Muma214419.51
Abdelhak M. Zoubir331647.52