A geometric approach to covariance matrix estimation and its applications to radar problems

A Aubry, A De Maio, L Pallotta - IEEE Transactions on Signal …, 2017 - ieeexplore.ieee.org
A new class of disturbance covariance matrix estimators for radar signal processing
applications is introduced following a geometric paradigm. Each estimator is associated with …

Generalization error of invariant classifiers

J Sokolic, R Giryes, G Sapiro… - Artificial Intelligence …, 2017 - proceedings.mlr.press
This paper studies the generalization error of invariant classifiers. In particular, we consider
the common scenario where the classification task is invariant to certain transformations of …

Toeplitz structured covariance matrix estimation for radar applications

X Du, A Aubry, A De Maio, G Cui - IEEE Signal Processing …, 2020 - ieeexplore.ieee.org
Following a geometric paradigm, the estimation of a Toeplitz structured covariance matrix is
considered. The estimator minimizes the distance from the Sample Covariance Matrix (SCM) …

Low-complexity algorithms for low rank clutter parameters estimation in radar systems

Y Sun, A Breloy, P Babu, DP Palomar… - IEEE Transactions …, 2015 - ieeexplore.ieee.org
This paper addresses the problem of the clutter subspace projector estimation in the context
of a disturbance composed of a low rank heterogeneous (Compound Gaussian) clutter and …

Structured robust covariance estimation

A Wiesel, T Zhang - Foundations and Trends® in Signal …, 2015 - nowpublishers.com
We consider robust covariance estimation with an emphasis on Tyler's M-estimator. This
method provides accurate inference of an unknown covariance in non-standard settings …

A review of Tyler's shape matrix and its extensions

S Taskinen, G Frahm, K Nordhausen, H Oja - … in Honor of David E. Tyler, 2022 - Springer
In a seminal paper, Tyler suggests an M-estimator for shape, which is now known as Tyler's
shape matrix. Tyler's shape matrix is increasingly popular due to its nice statistical …

A robust framework for covariance classification in heterogeneous polarimetric SAR images and its application to L-band data

L Pallotta, A De Maio, D Orlando - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
In this paper, an automatic classification approach for polarimetric covariance structure is
derived and assessed. It extends the framework of Pallotta et al.“Detecting Covariance …

[HTML][HTML] Gaussian and robust Kronecker product covariance estimation: Existence and uniqueness

I Soloveychik, D Trushin - Journal of Multivariate Analysis, 2016 - Elsevier
We study the Gaussian and robust covariance estimation, assuming the true covariance
matrix to be a Kronecker product of two lower dimensional square matrices. In both settings …

Clutter Covariance Matrix Estimation via KA-SADMM for STAP

X Du, Y Jing, X Chen, G Cui… - IEEE Geoscience and …, 2024 - ieeexplore.ieee.org
To tackle the issue of space-time adaptive processing (STAP) performance degradation
caused by inaccurate estimation of the clutter covariance matrix (CCM) with limited sample …

Polarimetric detection in compound Gaussian clutter with Kronecker structured covariance matrix

Y Wang, W Xia, Z He, H Li… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, we consider polarimetric adaptive detection in compound Gaussian clutter
whose covariance matrix (CM) has a Kronecker structure. We derive the Cramér-Rao bound …