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We present a novel analytical framework to characterize the distribution of the conditional receiver operating characteristic (ROC) in radar systems operating within a realization of a Poisson field of interferers and clutters. While…

Information Theory · Computer Science 2025-05-28 Gourab Ghatak

We develop a framework for spectrum sensing in cooperative amplify-and-forward cognitive radio networks. We consider a stochastic model where relays are assigned in cognitive radio networks to transmit the primary user's signal to a…

Information Theory · Computer Science 2011-11-02 Ido Nevat , Gareth W. Peters , Jinhong Yuan , Iain Collings

Performance analysis of optimal signal detection using quantized received signals of a linear vector channel, which is an extension of code-division multiple-access (CDMA) or multiple-input multiple-output (MIMO) channels, in the large…

Information Theory · Computer Science 2008-05-23 Kazutaka Nakamura

When presenting forensic evidence, such as a DNA match, experts often use the Likelihood ratio (LR) to explain the impact of evidence . The LR measures the probative value of the evidence with respect to a single hypothesis such as 'DNA…

Applications · Statistics 2021-06-11 Norman Fenton , Martin Neil

The detection of objects in the presence of significant background noise is a problem of fundamental interest in sensing. In this work, we theoretically analyze a prototype target detection protocol, the quantum temporal correlation (QTC)…

Optics · Physics 2020-04-16 Han Liu , Bhashyam Balaji , Amr S. Helmy

The problem addressed is to design a detector which is maximally sensitive to specific quantum states. Here we concentrate on quantum state detection using the worst-case a posteriori probability of detection as the design criterion. This…

Quantum Physics · Physics 2007-05-23 Robert L. Kosut , Ian Walmsley , Yonina Eldar , Herschel Rabitz

This paper proposes a novel approach to robust radar detection of range-spread targets embedded in Gaussian noise with unknown covariance matrix. The idea is to model the useful target echo in each range cell as the sum of a coherent signal…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Angelo Coluccia , Alessio Fascista , Giuseppe Ricci

We use numerical simulations of ray tracing through N-body simulations to investigate weak lensing by large-scale structure. These are needed for testing the analytic predictions of two-point correlators, to set error estimates on them and…

Astrophysics · Physics 2007-05-23 Bhuvnesh Jain , Uros Seljak , Simon White

This paper is concerned with a binary detection problem over a non-secure network. To satisfy the communication rate constraint and against possible cyber attacks, which are modeled as deceptive signals injected to the network, a likelihood…

Systems and Control · Computer Science 2015-07-28 Jian-Ya Ding , Keyou You , Shiji Song , Cheng Wu

In this work, we deal with the relaxation of two central assumptions in standard locally realistic hidden variable (LRHV) inequalities: free will in choosing measurement settings, and the presence of perfect detectors at the measurement…

Quantum Physics · Physics 2023-02-07 Abhishek Sadhu , Siddhartha Das

Locating a target is key in many applications, namely in high-stakes real-world scenarios, like detecting humans or obstacles in vehicular networks. In scenarios where precise statistics of the measurement noise are unavailable,…

Optimization and Control · Mathematics 2022-08-17 João Domingos , Cláudia Soares , João Xavier

This paper addresses the problem of detecting a moving target embedded in Gaussian noise with an unknown covariance matrix for frequency diverse array multiple-input multiple-output (FDA-MIMO) radar. To end it, assume that obtaining a set…

Signal Processing · Electrical Eng. & Systems 2024-03-22 Ping Li , Bang Huang , Wen-Qin Wang

In this work, we study non-parametric hypothesis testing problem with distribution function constraints. The empirical likelihood ratio test has been widely used in testing problems with moment (in)equality constraints. However, some…

Statistics Theory · Mathematics 2016-05-03 Yingxi Liu , Ahmed Tewfik

This letter derives the noncoherent (NC) maximum likelihood (ML) detection rule for LoRa signals under Rician multi-path fading channel. The proposed NC-ML detection only requires the channel statistic, not the actual instantaneous channel…

Signal Processing · Electrical Eng. & Systems 2026-04-16 The Khai Nguyen , Ebrahim Bedeer , Robert Barton

In quantum sensing and metrology, an important class of measurement is the continuous linear measurement, in which the detector is coupled to the system of interest linearly and continuously in time. One key aspect involved is the quantum…

Quantum Physics · Physics 2017-01-26 Haixing Miao

Optical quantum computing, as well as quantum communication and sensing technology based on quantum correlations are in preparation. These require photodiodes for the detection of about 10^16 photons per second with close to perfect quantum…

Quantum Physics · Physics 2026-02-16 Leif Albers , Jan-Malte Michaelsen , Roman Schnabel

Particle physics experiments rely on the (generalised) likelihood ratio test (LRT) for searches and measurements, which consist of composite hypothesis tests. However, this test is not guaranteed to be optimal, as the Neyman-Pearson lemma…

High Energy Physics - Phenomenology · Physics 2025-11-21 James Carzon , Aishik Ghosh , Rafael Izbicki , Ann Lee , Luca Masserano , Daniel Whiteson

This paper develops a systematic approach to realising linear detectors with an optimised sensitivity, allowing for the detection of extremely weak signals. First, general constraints are derived on a specific class of input-output transfer…

Quantum Physics · Physics 2023-01-09 Joe Bentley , Hendra Nurdin , Yanbei Chen , Xiang Li , Haixing Miao

The receiver operating characteristic (ROC) curve is a powerful statistical tool and has been widely applied in medical research. In the ROC curve estimation, a commonly used assumption is that larger the biomarker value, greater severity…

Methodology · Statistics 2023-02-24 Dingding Hu , Meng Yuan , Tao Yu , Pengfei Li

This is the second paper on a new formalism for relativistic quantum measurements. Here, we construct a fully relativistic model for detectors that takes into account the detector's state of motion, intrinsics dynamics, initial states and…

Quantum Physics · Physics 2015-09-08 Charis Anastopoulos , Ntina Savvidou