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We analyze a binary hypothesis testing problem built on a wireless sensor network (WSN) for detecting a stationary random process distributed both in space and time with circularly-symmetric complex Gaussian distribution under the…

Other Statistics · Statistics 2014-10-20 Juan Augusto Maya , Leonardo Rey Vega , Cecilia G. Galarza

We derive a detector that optimizes the target detection performance of any single-input single-output noise radar satisfying the following properties: it transmits Gaussian noise, it retains an internal reference signal for matched…

Signal Processing · Electrical Eng. & Systems 2022-04-19 David Luong , Bhashyam Balaji , Sreeraman Rajan

We consider the detection and estimation of a zero-mean Gaussian signal in a wireless sensor network with a coherent multiple access channel, when the fusion center (FC) is configured with a large number of antennas and the wireless…

Information Theory · Computer Science 2023-07-19 Feng Jiang , Jie Chen , A. Lee Swindlehurst , Jose A. Lopez-Salcedo

This paper considers the problem of compact source detection on a Gaussian background in 1D. Two aspects of this problem are considered: the design of the detector and the filtering of the data. Our detection scheme is based on local maxima…

Astrophysics · Physics 2009-11-10 M. Lopez-Caniego , D. Herranz , R. B. Barreiro , J. L. Sanz

This paper investigates the decentralized detection of Hidden Markov Processes using the Neyman-Pearson test. We consider a network formed by a large number of distributed sensors. Sensors' observations are noisy snapshots of a Markov…

Information Theory · Computer Science 2015-03-13 Joffrey Villard , Pascal Bianchi , Eric Moulines , Pablo Piantanida

Sensor networks aim at monitoring their surroundings for event detection and object tracking. But due to failure or death of sensors, false signal can be transmitted. In this paper, we consider the problem of fault detection in wireless…

Networking and Internet Architecture · Computer Science 2012-03-05 Mrinal Nandi , Amiya Nayak , Bimal Roy , Santanu Sarkar

The performance of Neyman-Pearson detection of correlated stochastic signals using noisy observations is investigated via the error exponent for the miss probability with a fixed level. Using the state-space structure of the signal and…

Information Theory · Computer Science 2016-11-17 Youngchul Sung , Lang Tong , H. Vincent Poor

This paper addresses a detection problem where several spatially distributed sensors independently observe a time-inhomogeneous stochastic process. The task is to decide between two hypotheses regarding the statistics of the observed…

Probability · Mathematics 2012-10-05 Chetan D. Pahlajani , Ioannis Poulakakis , Herbert G. Tanner

The detection of hidden two-dimensional Gauss-Markov random fields using sensor networks is considered. Under a conditional autoregressive model, the error exponent for the Neyman-Pearson detector satisfying a fixed level constraint is…

Information Theory · Computer Science 2016-11-15 Youngchul Sung , H. Vincent Poor , Heejung Yu

We consider a Neyman-Pearson (NP) distributed binary detection problem in a bandwidth constrained wireless sensor network, where the fusion center (FC) is responsible for fusing signals received from sensors and making a final decision…

Signal Processing · Electrical Eng. & Systems 2019-06-18 Nahal Maleki , Azadeh Vosoughi

This paper addresses the detection of a stochastic process in noise from irregular samples. We consider two hypotheses. The \emph{noise only} hypothesis amounts to model the observations as a sample of a i.i.d. Gaussian random variables…

Information Theory · Computer Science 2009-09-25 Walid Hachem , Eric Moulines , Francois Roueff

Recently, a novel ultra-low power indoor wireless positioning system has been proposed. In this system, Zero-Energy-Devices (ZED) beacons are deployed in Indoor environments, and located on a map with unique broadcast identifiers. They…

Signal Processing · Electrical Eng. & Systems 2025-04-29 Shanglin Yang , Jean-Marie Gorce , Muhammad Jehangir Khan , Dinh-Thuy Phan-Huy , Guillaume Villemaud

In a recent paper we described a novel approach to the detection and parameter estimation of a non-Gaussian stochastic background of gravitational waves. In this work we propose an improved version of the detection procedure, preserving…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Matteo Ballelli , Riccardo Buscicchio , Barbara Patricelli , Anirban Ain , Giancarlo Cella

Gravitational wave detectors will need optimal signal-processing algorithms to extract weak signals from the detector noise. Most algorithms designed to date are based on the unrealistic assumption that the detector noise may be modeled as…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Bruce Allen , Jolien D. E. Creighton , Eanna E. Flanagan , Joseph D. Romano

In continuation of an earlier study, we explore a Neymann-Pearson hypothesis testing scenario where, under the null hypothesis ($\cal{H}_0$), the received signal is a white noise process $N_t$, which is not Gaussian in general, and under…

Information Theory · Computer Science 2024-05-07 Yossi Marciano , Neri Merhav

We consider the detection of a correlated random process immersed in noise in a wireless sensor network. Each node has an individual energy constraint and the communication with the processing central units are affected by the path loss…

Information Theory · Computer Science 2015-09-15 Juan Augusto Maya , Cecilia G. Galarza , Leonardo Rey Vega

Gaussian Processes (GPs) are widely recognized as powerful non-parametric models for regression and classification. Traditional GP frameworks predominantly operate under the assumption that the inputs are either accurately known or subject…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Muzaffar Qureshi , Tochukwu Elijah Ogri , Zachary I. Bell , Wanjiku A. Makumi , Rushikesh Kamalapurkar

We study detection of random signals corrupted by noise that over time switch their values (states) from a finite set of possible values, where the switchings occur at unknown points in time. We model such signals by means of a random…

Information Theory · Computer Science 2017-12-27 Dragana Bajović , Kanghang He , Lina Stanković , Dejan Vukobratović , Vladimir Stanković

Compressed sensing (CS) model of complex-valued data can represent the signal recovery process of a large amount types of radar systems, especially when the measurement matrix is row-orthogonal. Based on debiased least absolute shrinkage…

Signal Processing · Electrical Eng. & Systems 2023-07-28 Siqi Na , Tianyao Huang , Yimin Liu , Takashi Takahashi , Yoshiyuki Kabashima , Xiqin Wang

We consider the classical Neymann-Pearson hypothesis testing problem of signal detection, where under the null hypothesis ($\calH_0$), the received signal is white Gaussian noise, and under the alternative hypothesis ($\calH_1$), the…

Information Theory · Computer Science 2022-02-08 Neri Merhav
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