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A fundamental assumption underling any Hypothesis Testing (HT) problem is that the available data follow the parametric model assumed to derive the test statistic. Nevertheless, a perfect match between the true and the assumed data models…

Signal Processing · Electrical Eng. & Systems 2017-09-27 S. Fortunati , M. S. Greco , F. Gini

With the growing number of gravitational-wave detections, particularly from binary black hole mergers, there is increasing anticipation that an astrophysical background, formed by an ensemble of faint, high-redshift events, will be observed…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Xiaolin Liu , Sachiko Kuroyanagi

This paper deals with joint adaptive radar detection and target bearing estimation in the presence of mutual coupling among the array elements. First of all, a suitable model of the signal received by the multichannel radar is developed via…

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

Generalized likelihood ratio (GLR) test statistics are often used in the detection of spatial clustering in case-control and case-population datasets to check for a significantly large proportion of cases within some scanning window. The…

Statistics Theory · Mathematics 2009-11-20 Hock Peng Chan

Hyperspectral target detection is a pixel-level recognition problem. Given a few target samples, it aims to identify the specific target pixels such as airplane, vehicle, ship, from the entire hyperspectral image. In general, the background…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Can Yao , Yuan Yuan , Zhiyu Jiang

Bayesian priors are investigated for detecting targets of known spectral signature (but unknown strength) in cluttered backgrounds. A specific problem is the construction (or ``sculpting'') of a Bayesian prior that uniformly outperforms its…

Signal Processing · Electrical Eng. & Systems 2024-08-09 James Theiler

This paper is devoted to the study of the general linear hypothesis testing (GLHT) problem of multi-sample high-dimensional mean vectors. For the GLHT problem, we introduce a test statistic based on $L^2$-norm and random integration method,…

Statistics Theory · Mathematics 2024-10-22 Mingxiang Cao , Yelong Qiu , Junyong Park

We tackle distributed detection of a non-cooperative target with a Wireless Sensor Network (WSN). When the target is present, sensors observe an (unknown) deterministic signal with attenuation depending on the distance between the sensor…

Information Theory · Computer Science 2017-04-26 D. Ciuonzo , P. Salvo Rossi , P. Willett

This paper studies recursive composite hypothesis testing in a network of sparsely connected agents. The network objective is to test a simple null hypothesis against a composite alternative concerning the state of the field, modeled as a…

Information Theory · Computer Science 2017-02-23 Anit Kumar Sahu , Soummya Kar

Infrared search and tracking (IRST) system has been widely concerned and applied in the area of national defence. Small target detection under complex background is a very challenging task in the development of system algorithm. Low…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Fan Wang

A starshade suppresses starlight by a factor of 1E11 in the image plane of a telescope, which is crucial for directly imaging Earth-like exoplanets. The state of the art in high contrast post-processing and signal detection methods were…

Instrumentation and Methods for Astrophysics · Physics 2021-03-18 Mengya , Hu , Anthony Harness , He Sun , N. Jeremy Kasdin

In this paper, we study the joint detection and angle estimation problem for beamspace multiple-input multiple-output (MIMO) systems with multiple random jamming targets. An iterative low-complexity generalized likelihood ratio test (GLRT)…

Signal Processing · Electrical Eng. & Systems 2025-01-10 Pengguang Du , Cheng Zhang , Changwei Zhang , Zhilei Zhang , Yongming Huang

To solve the problem of detecting subspace signals in nonzero-mean clutter, we propose adaptive detectors, based on the strategies of generalized likelihood ratio test (GLRT), Rao test, Wald test, gradient test, and Durbin test. The results…

Other Statistics · Statistics 2026-05-11 Weijian Liu , Zhenyu Xu , Jun Liu , Hui Chen , Yongxiang Liu

This paper addresses a two-channel passive detection problem exploiting cyclostationarity. Given a reference channel (RC) and a surveillance channel (SC), the goal is to detect a target echo present at the surveillance array transmitted by…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Stefanie Horstmann , David Ramírez , Peter J. Schreier

Off-grid targets whose Doppler (or angle) does not lie on the discrete processing grid can severely degrade classical normalized matched-filter (NMF) detectors: even at high SNR, the detection probability may saturate at operationally…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Yadang Alexis Rouzoumka , Jean Pinsolle , Eugénie Terreaux , Christèle Morisseau , Jean-Philippe Ovarlez , Chengfang Ren

We consider a compound testing problem within the Gaussian sequence model in which the null and alternative are specified by a pair of closed, convex cones. Such cone testing problem arise in various applications, including detection of…

Statistics Theory · Mathematics 2018-03-28 Yuting Wei , Martin J. Wainwright , Adityanand Guntuboyina

This paper addresses the problem of detecting multidimensional subspace signals, which model range-spread targets, in noise of unknown covariance. It is assumed that a primary channel of measurements, possibly consisting of signal plus…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Danilo Orlando , Giuseppe Ricci , Louis L. Scharf

Besides atmospheric turbulence and pointing errors which cause the signal intensity fluctuation, background radiation also impairs the free-space optical intensity-modulation / direct-detection link performance by introducing a noisy…

Information Theory · Computer Science 2017-06-20 Tianyu Song , Pooi-Yuen Kam

The classical likelihood ratio test (LRT) based on the asymptotic chi-squared distribution of the log likelihood is one of the fundamental tools of statistical inference. A recent universal LRT approach based on sample splitting provides…

Methodology · Statistics 2022-11-22 Robin Dunn , Aaditya Ramdas , Sivaraman Balakrishnan , Larry Wasserman

The problem of radar detection in compound Gaussian clutter when a radar signature is not completely known has not been considered yet and is addressed in this paper. We proposed a robust technique to detect, based on the generalized…

Signal Processing · Electrical Eng. & Systems 2017-10-10 Mai P. T. Nguyen , I. Song