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Related papers: On One Problem in Multichannel Signal Detection

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This paper considers the problem of detecting equal-shaped non-overlapping unimodal peaks in the presence of Gaussian ergodic stationary noise, where the number, location and heights of the peaks are unknown. A multiple testing approach is…

Methodology · Statistics 2010-08-12 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler

System identification is of special interest in science and engineering. This article is concerned with a system identification problem arising in stochastic dynamic systems, where the aim is to estimate the parameters of a system along…

Methodology · Statistics 2022-01-27 Christos Merkatas , Simo Särkkä

Dephasing is a prominent noise mechanism that afflicts quantum information carriers, and it is one of the main challenges towards realizing useful quantum computation, communication, and sensing. Here we consider discrimination and…

Quantum Physics · Physics 2024-06-11 Zixin Huang , Ludovico Lami , Mark M. Wilde

A signal recovery problem is considered, where the same binary testing problem is posed over multiple, independent data streams. The goal is to identify all signals, i.e., streams where the alternative hypothesis is correct, and noises,…

Methodology · Statistics 2022-11-08 Yiming Xing , Georgios Fellouris

Digital sensors can lead to noisy results under many circumstances. To be able to remove the undesired noise from images, proper noise modeling and an accurate noise parameter estimation is crucial. In this project, we use a…

Image and Video Processing · Electrical Eng. & Systems 2022-12-21 Étienne Objois , Kaan Okumuş , Nicolas Bähler

We consider a two sensor distributed detection system transmitting a binary non-uniform source over a Gaussian multiple access channel (MAC). We model the network via binary sensors whose outputs are generated by binary symmetric channels…

Information Theory · Computer Science 2024-02-12 Luca Sardellitti , Glen Takahara , Fady Alajaji

The problem of detecting a wide-sense stationary Gaussian signal process embedded in white Gaussian noise, where the power spectral density of the signal process exhibits uncertainty, is investigated. The performance of minimax robust…

Information Theory · Computer Science 2010-05-03 Wenyi Zhang , H. Vincent Poor

Minimax detection of Gaussian stochastic sequences (signals) with unknown covariance matrices is studied. For a fixed false alarm probability (1-st kind error probability), the performance of the minimax detection is being characterized by…

Information Theory · Computer Science 2021-04-14 M. V. Burnashev

This paper proposes novel spectrum sensing algorithms for cognitive radio networks. By assuming known transmitter pulse shaping filter, synchronous and asynchronous receiver scenarios have been considered. For each of these scenarios, the…

Optimization and Control · Mathematics 2013-12-31 Tadilo Endeshaw Bogale , Luc Vandendorpe

In this work, we investigate the different sensing schemes for the detection of four targets as observed through a vector Poisson and Gaussian channels when the sensing time resource is limited and the source signals can be observed through…

Information Theory · Computer Science 2024-12-06 Muhammad Fahad , Daniel R. Fuhrmann

As commonly understood, the noise spectroscopy problem---characterizing the statistical properties of a noise process affecting a quantum system by measuring its response---is ill-posed. Ad-hoc solutions assume implicit structure which is…

This paper offers a qualitative insight into the convergence of Bayesian parameter inference in a setup which mimics the modeling of the spread of a disease with associated disease measurements. Specifically, we are interested in the…

Statistics Theory · Mathematics 2022-12-08 Samuel Bronstein , Stefan Engblom , Robin Marin

New problems arise when the standard theory of joint detection and estimation is applied to a set of signals drawn from a continuous family; decision thresholds must be determined as a function of the continuous parameter x characterizing…

Statistics Theory · Mathematics 2014-07-17 D. Michael Milder , Robert G. Lindgren , Morris M. Berman

Detection of a signal under noise is a classical signal processing problem. When monitoring spatial phenomena under a fixed budget, i.e., either physical, economical or computational constraints, the selection of a subset of available…

Signal Processing · Electrical Eng. & Systems 2018-08-01 Mario Coutino , Sundeep Prabhakar Chepuri , Geert Leus

Once upon a time, predictions for the accuracy of inference on gravitational-wave signals relied on computationally inexpensive but often inaccurate techniques. Recently, the approach has shifted to actual inference on noisy signals with…

Instrumentation and Methods for Astrophysics · Physics 2015-12-09 Carl-Johan Haster , Ilya Mandel , Will M. Farr

The analysis of data from gravitational wave detectors can be divided into three phases: search, characterization, and evaluation. The evaluation of the detection - determining whether a candidate event is astrophysical in origin or some…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Tyson B. Littenberg , Neil J. Cornish

Detection of sparse signals arises in a wide range of modern scientific studies. The focus so far has been mainly on Gaussian mixture models. In this paper, we consider the detection problem under a general sparse mixture model and obtain…

Information Theory · Computer Science 2012-11-13 T. Tony Cai , Yihong Wu

The frequentist definition of sensitivity of a search for new phenomena proposed in arXiv:0308063 has been utilized in a number of published experimental searches. In most cases, the simple approximate formula for the common problem of…

Data Analysis, Statistics and Probability · Physics 2020-11-25 Giovanni Punzi

This work considers the problem of quickest detection of signals in a coupled system of $N$ sensors, which receive continuous sequential observations from the environment. It is assumed that the signals, which are modeled by general It\^{o}…

Optimization and Control · Mathematics 2016-03-11 Hongzhong Zhang , Olympia Hadjiliadis , Tobias Schäfer , H. Vincent Poor

A new method is introduced to obtain a strong signal by the interference of weak signals in noisy channels. The method is based on the interference of 1/f noise from parallel channels. One realization of stochastic interference is the…

Chaotic Dynamics · Physics 2009-11-07 K. Svozil , D. Felix , K. Ehrenberger