Asymptotic Properties of Robust Complex Covariance Matrix Estimates - Archive ouverte HAL Access content directly
Journal Articles IEEE Transactions on Signal Processing Year : 2013

Asymptotic Properties of Robust Complex Covariance Matrix Estimates

Abstract

In many statistical signal processing applications, the estimation of nuisance parameters and parameters of interest is strongly linked to the resulting performance. Generally, these applications deal with complex data. This paper focuses on covariance matrix estimation problems in non-Gaussian environments, and particularly the M-estimators in the context of elliptical distributions. First, this paper extends to the complex case the re- sults of Tyler in [D. Tyler, “Robustness and Efficiency Properties of Scatter Matrices,” Biometrika, vol. 70, no. 2, p. 411, 1983]. More precisely, the asymptotic distribution of these estimators as well as the asymptotic distribution of any homogeneous function of degree 0 of the M-estimates are derived. On the other hand, we show the improvement of such results on two applications: directions of arrival (DOA) estimation using the MUltiple SIgnal Classification (MUSIC) algorithm and adaptive radar detection based on the Adaptive Normalized Matched Filter (ANMF) test.
Fichier principal
Vignette du fichier
DEMR18026.1516199727_postprint.pdf (149.85 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01705126 , version 1 (09-02-2018)

Identifiers

Cite

Mélanie Mahot, Frédéric Pascal, Philippe Forster, Jean-Philippe Ovarlez. Asymptotic Properties of Robust Complex Covariance Matrix Estimates. IEEE Transactions on Signal Processing, 2013, 61 (13), page 3348 - 3356. ⟨10.1109/TSP.2013.2259823⟩. ⟨hal-01705126⟩
272 View
105 Download

Altmetric

Share

Gmail Facebook X LinkedIn More