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Robust signal detection in colored noise with unknown covariance is essential in radar, cognitive radio, integrated sensing and communication (ISAC), and quantum sensing applications. This paper develops a unified analytical framework for…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Tharindu Udupitiya , Saman Atapattu , Prathapasinghe Dharmawansa , Chintha Tellambura , Merouane Debbah

This paper deals with the local asymptotic structure, in the sense of Le Cam's asymptotic theory of statistical experiments, of the signal detection problem in high dimension. More precisely, we consider the problem of testing the null…

Statistics Theory · Mathematics 2012-10-23 Alexei Onatski , Marcelo J. Moreira , Marc Hallin

Spectrum sensing is essential in cognitive radio to enable dynamic spectrum access. In many scenarios, primary user signal must be detected reliably in low signal-to-noise ratio (SNR) regime under required sensing time. We propose to use…

Information Theory · Computer Science 2009-06-04 Kun Zheng , Husheng Li , Seddik M. Djouadi , Jun Wang

This work introduces the LLM Online Spatial-temporal Reconstruction (LLM-OSR) framework, which integrates Graph Signal Processing (GSP) and Large Language Models (LLMs) for online spatial-temporal signal reconstruction. The LLM-OSR utilizes…

Machine Learning · Computer Science 2024-11-26 Yi Yan , Dayu Qin , Ercan Engin Kuruoglu

The number of astrophysical sources detected by Advanced LIGO and Virgo is expected to increase as the detectors approach their design sensitivity. Gravitational wave detectors are also sensitive to transient noise sources created by the…

Instrumentation and Methods for Astrophysics · Physics 2018-07-25 Jade Powell

We assume a second-order source separation model where the observed multivariate time series is a linear mixture of latent, temporally uncorrelated time series with some components pure white noise. To avoid the modelling of noise, we…

Methodology · Statistics 2019-05-07 Markus Matilainen , Klaus Nordhausen , Joni Virta

In order to test theoretical predictions, we have studied the phenomenon of stochastic resonance in an electronic experimental system driven by white non Gaussian noise. In agreement with the theoretical predictions our main findings are:…

Statistical Mechanics · Physics 2009-11-07 F. J. Castro , M. N. Kuperman , M. Fuentes , H. S. Wio

It is by now established that, remarkably, the addition of noise to a nonlinear system may sometimes facilitate, rather than hamper the detection of weak signals. This phenomenon, usually referred to as stochastic resonance, was originally…

Condensed Matter · Physics 2009-10-31 Redouane Fakir

Stochastic resonance describes the utility of noise in improving the detectability of weak signals in certain types of systems. It has been observed widely in natural and engineered settings, but its utility in image classification with…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Siegfried Ludwig

The detection problem in statistical signal processing can be succinctly formulated: Given m (possibly) signal bearing, n-dimensional signal-plus-noise snapshot vectors (samples) and N statistically independent n-dimensional noise-only…

Information Theory · Computer Science 2009-02-26 N. Raj Rao , Jack W. Silverstein

In polychromatic x-ray imaging for nondestructive testing, material science or medical applications, image quality is usually a problem of detecting sample structure in noisy data. This problem is typically stated this way: As many photons…

Instrumentation and Detectors · Physics 2019-08-27 Maximilian Ullherr , Simon Zabler

We investigate the performance of the scan (maximum likelihood ratio statistic) and of the average likelihood ratio statistic in the problem of detecting a deterministic signal with unknown spatial extent in the prototypical univariate…

Methodology · Statistics 2014-02-26 Hock Peng Chan , Guenther Walther

Spectrum sensing enables cognitive radio systems to detect unused portions of the radio spectrum and then use them while avoiding interferences to the primary users. Energy detection is one of the most used techniques for spectrum sensing…

Signal Processing · Electrical Eng. & Systems 2018-03-15 Youness Arjoune

Upcoming space-based gravitational-wave detectors will be sensitive to millions and resolve tens of thousands of stellar-mass binary systems at mHz frequencies. The vast majority of these will be double white dwarfs in our Galaxy. The…

High Energy Astrophysical Phenomena · Physics 2025-08-21 Riccardo Buscicchio , Antoine Klein , Valeriya Korol , Francesco Di Renzo , Christopher J. Moore , Davide Gerosa , Alessandro Carzaniga

Searches for binary inspiral signals in data collected by interferometric gravitational wave detectors utilize matched filtering techniques. Although matched filtering is optimal in the case of stationary Gaussian noise, data from real…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Shawhan , Evan Ochsner

The Legacy Survey of Space and Time (LSST) is expected to observe up to ${\sim}100$ million quasars in the next decade. In this work, we show that it is possible to use such data to measure the characteristic frequency evolution of a…

High Energy Astrophysical Phenomena · Physics 2025-06-13 Chengcheng Xin , Maximiliano Isi , Will M. Farr , Zoltán Haiman

Many real-world systems undergo abrupt changes in dynamics as they move across critical points, often with dramatic consequences. Much existing theory on identifying the time-series signatures of nearby critical points -- such as increased…

Data Analysis, Statistics and Probability · Physics 2024-10-03 Brendan Harris , Leonardo L. Gollo , Ben D. Fulcher

Signals with periodic characteristics are ubiquitous in real-world applications. One of these areas is condition monitoring, where the vibration signals from rotating machines naturally display periodic behavior. Thus, the cyclostationary…

We propose a high-dimensional white noise test that captures serial correlations within and across component series without specifying an alternative model. The test statistic is a U-statistic based on sample autocovariances. Under the…

Methodology · Statistics 2026-05-07 Yuanya Xu

The characteristic energy of a relic dark matter interaction with a detector scales strongly with the putative dark matter mass. Consequently, experimental search sensitivity at the lightest masses will always come from interactions whose…

High Energy Physics - Experiment · Physics 2025-10-21 Xinran Li , Matt Pyle , Bernard Sadoulet
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