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We address the problem of structured covariance matrix estimation for radar space-time adaptive processing (STAP). A priori knowledge of the interference environment has been exploited in many previous works to enable accurate estimators…

Methodology · Statistics 2016-02-18 Bosung Kang , Vishal Monga , Muralidhar Rangaswamy , Yuri I. Abramovich

In this paper, we exploit the spiked covariance structure of the clutter plus noise covariance matrix for radar signal processing. Using state-of-the-art techniques high dimensional statistics, we propose a nonlinear shrinkage-based…

Signal Processing · Electrical Eng. & Systems 2023-02-07 Shashwat Jain , Vikram Krishnamurthy , Muralidhar Rangaswamy , Bosung Kang , Sandeep Gogineni

In space-time adaptive processing (STAP) of the airborne radar system, it is very important to realize sparse restoration of the clutter covariance matrix with a small number of samples. In this paper, a clutter suppression method for…

Signal Processing · Electrical Eng. & Systems 2023-01-30 Tao Zhang , Haifang Zheng , Qijun Luo

Space-time adaptive processing (STAP) is one of the most effective approaches to suppressing ground clutters in airborne radar systems. It basically takes two forms, i.e., full-dimension STAP (FD-STAP) and reduced-dimension STAP (RD-STAP).…

Information Theory · Computer Science 2022-02-11 Di Song , Shengyao Chen , Feng Xi , Zhong Liu

Structured covariance matrix estimation in the presence of missing data is addressed in this paper with emphasis on radar signal processing applications. After a motivation of the study, the array model is specified and the problem of…

Signal Processing · Electrical Eng. & Systems 2022-12-09 Augusto Aubry , Antonio De Maio , Stefano Marano , Massimo Rosamilia

Estimating the clutter-plus-noise covariance matrix in high-dimensional STAP is challenging in the presence of Internal Clutter Motion (ICM) and a high noise floor. The problem becomes more difficult in low-sample regimes, where the Sample…

Signal Processing · Electrical Eng. & Systems 2025-05-13 Shashwat Jain , Vikram Krishnamurthy , Muralidhar Rangaswamy , Sandeep Gogineni , Bosung Kang , Sean M. O'Rourke

This paper considers the problem of robustly estimating a structured covariance matrix with an elliptical underlying distribution with known mean. In applications where the covariance matrix naturally possesses a certain structure, taking…

Applications · Statistics 2016-06-29 Ying Sun , Prabhu Babu , Daniel P. Palomar

Range-dependent clutter suppression poses significant challenges in airborne frequency diverse array (FDA) radar, where resolving range ambiguity is particularly difficult. Traditional space-time adaptive processing (STAP) techniques used…

Signal Processing · Electrical Eng. & Systems 2024-07-16 Wanghan Lv , Kumar Vijay Mishra

Space-time adaptive processing (STAP) is an effective tool for detecting a moving target in spaceborne or airborne radar systems. Statistical-based STAP methods generally need sufficient statistically independent and identically distributed…

Information Theory · Computer Science 2010-08-26 Ke Sun , Hao Zhang , Gang Li , Huadong Meng , Xiqin Wang

A new class of disturbance covariance matrix estimators for radar signal processing applications is introduced following a geometric paradigm. Each estimator is associated with a given unitary invariant norm and performs the sample…

Applications · Statistics 2018-02-14 Augusto Aubry , Antonio De Maio , Luca Pallotta

In this work the detection of moving targets in multiantenna SAR is considered. As a high resolution radar imaging modality, SAR detects and identifies stationary targets very well, giving it an advantage over classical GMTI radars. Moving…

Applications · Statistics 2015-10-02 Kristjan Greenewald , Edmund Zelnio , Alfred O. Hero

This work considers Maximum Likelihood Estimation (MLE) of a Toeplitz structured covariance matrix. In this regard, an equivalent reformulation of the MLE problem is introduced and two iterative algorithms are proposed for the optimization…

Signal Processing · Electrical Eng. & Systems 2025-05-13 Augusto Aubry , Prabhu Babu , Antonio De Maio , Massimo Rosamilia

We consider the problem of learning error covariance matrices for robotic state estimation. The convergence of a state estimator to the correct belief over the robot state is dependent on the proper tuning of noise models. During inference,…

Robotics · Computer Science 2023-09-19 Mohamad Qadri , Zachary Manchester , Michael Kaess

Space-time adaptive processing (STAP) algorithms with coprime arrays can provide good clutter suppression potential with low cost in airborne radar systems as compared with their uniform linear arrays counterparts. However, the performance…

Signal Processing · Electrical Eng. & Systems 2020-01-07 X. Wang , Z. Yang , J. Huang , R. C. de Lamare

The performance of space-time adaptive processing (STAP) is often degraded by factors such as limited sample size and moving targets. Traditional clutter covariance matrix (CCM) estimation relies on Euclidean metrics, which fail to capture…

General Mathematics · Mathematics 2025-01-08 Jia-Mian Li , Jian-Yi Chen , Bing-Zhao Li

This paper investigates the problem of adaptive detection of distributed targets in power heterogeneous clutter. In the considered scenario, all the data share the identical structure of clutter covariance matrix, but with varying and…

Methodology · Statistics 2024-10-10 Daipeng Xiao , Weijian Liu , Jun Liu , Lingyan Dai , Xueli Fang , Jianjun Ge

This work considers Maximum Likelihood Estimation (MLE) of a Toeplitz structured covariance matrix. In this regard, an equivalent reformulation of the MLE problem is introduced and two iterative algorithms are proposed for the optimization…

Signal Processing · Electrical Eng. & Systems 2021-10-26 Augusto Aubry , Prabhu Babu , Antonio De Maio , Rikhabchand Jyothi

Covariance matrix estimation is one of the most important problems in statistics. To accommodate the complexity of modern datasets, it is desired to have estimation procedures that not only can incorporate the structural assumptions of…

Statistics Theory · Mathematics 2017-06-13 Mengjie Chen , Chao Gao , Zhao Ren

Covariance matrix estimation is an important problem in multivariate data analysis, both from theoretical as well as applied points of view. Many simple and popular covariance matrix estimators are known to be severely affected by model…

Methodology · Statistics 2025-11-21 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

Adaptive algorithms based on sample matrix inversion belong to an important class of algorithms used in radar target detection to overcome prior uncertainty of interference covariance. Sample matrix inversion problem is generally ill…

Signal Processing · Electrical Eng. & Systems 2020-10-15 Boris N. Oreshkin , Peter A. Bakulev
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