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In this paper we establish a general first-order statistical framework for the detection of a common signal impinging on spatially distributed receivers. We consider three types of channel models: 1) the propagation channel is completely…

Signal Processing · Electrical Eng. & Systems 2023-02-15 Todd McWhorter , Louis Scharf , Margaret Cheney

We consider a statistical problem of detection of a signal with unknown energy in a multi-channel system, observed in a Gaussian noise. We assume that the signal can appear in the $k$-th channel with a known small prior probability…

Statistics Theory · Mathematics 2017-12-19 Evgeny Burnaev , Georgy Golubev

This paper considers a sequential sensor scheduling and remote estimation problem with one sensor and one estimator. The sensor makes sequential observations about the state of an underlying memoryless stochastic process and makes a…

Optimization and Control · Mathematics 2016-10-19 Xiaobin Gao , Emrah Akyol , Tamer Basar

The usual interpretation of noise is represented by a sum of many independent two-level elementary random signals with a distribution of relaxation times. In this paper it is demonstrated that also the superposition of many similar…

Data Analysis, Statistics and Probability · Physics 2007-08-24 Giovanni Zanella

Radio frequency interference (RFI) mitigation remains a major challenge in the search for radio technosignatures. Typical mitigation strategies include a direction-of-origin (DoO) filter, where a signal is classified as RFI if it is…

Instrumentation and Methods for Astrophysics · Physics 2022-02-02 Pavlo Pinchuk , Jean-Luc Margot

We study the capacity of discrete memoryless many-to-one interference channels, i.e., K user interference channels where only one receiver faces interference. For a class of many-to-one interference channels, we identify a noisy…

Information Theory · Computer Science 2009-12-17 Viveck R. Cadambe , Syed A. Jafar

The problem of separation of an observed sum of chaotic signals into the individual components in the presence of noise on the path to the observer is considered. A noise threshold is found above which high-quality separation is impossible.…

Chaotic Dynamics · Physics 2009-11-07 Yuri V. Andreyev , Alexander S. Dmitriev , Elena V. Efremova

With their ability to handle an increased amount of information, multivariate and multichannel signals can be used to solve problems normally not solvable with signals obtained from a single source. One such problem is the decomposition…

Information Theory · Computer Science 2019-04-02 Ljubisa Stankovic , Milos Brajovic , Milos Dakovic , Danilo Mandic

We present a new method for the separation of superimposed, independent, auto-correlated components from noisy multi-channel measurement. The presented method simultaneously reconstructs and separates the components, taking all channels…

Methodology · Statistics 2018-02-14 Jakob Knollmüller , Torsten A. Enßlin

The high-intensity, repetitive noise associated with functional magnetic resonance imaging hinders on-line monitoring of subjects' speech and/or recording speech signals suitable for off-line analysis. The proposed algorithm enhances the…

Sound · Computer Science 2012-07-26 Satrajit S. Ghosh

We consider the problem of simultaneous reduction of acoustic echo, reverberation and noise. In real scenarios, these distortion sources may occur simultaneously and reducing them implies combining the corresponding distortion-specific…

Sound · Computer Science 2020-07-28 Guillaume Carbajal , Romain Serizel , Emmanuel Vincent , Eric Humbert

The total variation filtering technique emerges as a highly effective strategy for restoring signals with discontinuities in various parts of their structure. This study presents and implements a one-dimensional signal filtering algorithm…

Optimization and Control · Mathematics 2024-10-14 Joyce Oliveira dos Santos , Francisco Márcio Barboza

We consider arbitrary dense wireless networks, in which $n$ nodes are placed in an arbitrary (deterministic) manner on a square region of unit area and communicate with each other over Gaussian fading channels. We provide inner and outer…

Information Theory · Computer Science 2011-08-09 Urs Niesen

This paper proposes a novel joint channel-estimation and source-detection algorithm using successive interference cancellation (SIC)-aided generative score-based diffusion models. Prior work in this area focuses on massive MIMO scenarios,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Sagnik Bhattacharya , Muhammad Ahmed Mohsin , Kamyar Rajabalifardi , John M. Cioffi

In this paper, we focus on the following testing problem: assume that we are given observations of a real-valued signal along the grid $0,1,\ldots,N-1$, corrupted by white Gaussian noise. We want to distinguish between two hypotheses: (a)…

Statistics Theory · Mathematics 2015-06-02 Anatoli Juditsky , Arkadi Nemirovski

Interfering signals such as Radio Frequency Interference from ubiquitous satellite constellations are becoming an endemic problem in fields involving physical observations of the electromagnetic spectrum. To address this we propose a novel…

Instrumentation and Methods for Astrophysics · Physics 2024-02-20 S. A. K. Leeney , W. J. Handley , E. de Lera Acedo

Interference alignment is a transmission technique for exploiting all available degrees of freedom in the interference channel with an arbitrary number of users. Most prior work on interference alignment, however, neglects interference from…

Information Theory · Computer Science 2010-10-05 Steven W. Peters , Robert W. Heath

The study and application of signal detection techniques based on cross-correlation method for acoustic transient signals in noisy and reverberant environments are presented. These techniques are shown to provide high signal to noise ratio,…

Instrumentation and Detectors · Physics 2015-02-19 S. Adrián-Martínez , M. Ardid , M. Bou-Cabo , I. Felis , C. Llorens , J. A. Martínez-Mora , M. Saldaña

Real interference alignment is efficient in breaking-up a one-dimensional space over time-invariant channels into fractional dimensions. As such, multiple symbols can be simultaneously transmitted with fractional degrees-of-freedom (DoF).…

Information Theory · Computer Science 2016-08-09 Mohaned Chraiti , Ali Ghrayeb , Chadi Assi

In this paper, we show that by investigating inherent time delays between different users in a multiuser scenario, we are able to cancel interference more efficiently. Time asynchrony provides another tool to cancel interference which…

Information Theory · Computer Science 2016-09-23 Mehdi Ganji , Hamid Jafarkhani