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This paper studies the multi-task high-dimensional linear regression models where the noise among different tasks is correlated, in the moderately high dimensional regime where sample size $n$ and dimension $p$ are of the same order. Our…

Statistics Theory · Mathematics 2022-06-16 Kai Tan , Gabriel Romon , Pierre C Bellec

We study the noise properties and efficiency of a mesoscopic resonant-level conductor which is used as a quantum detector, in the regime where transport through the level is only partially phase coherent. We contrast models in which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. A. Clerk , A. D. Stone

Radar is a key component of the suite of perception sensors used for safe and reliable navigation of autonomous vehicles. Its unique capabilities include high-resolution velocity imaging, detection of agents in occlusion and over long…

Computer Vision and Pattern Recognition · Computer Science 2023-09-29 Arvind Srivastav , Soumyajit Mandal

This paper addresses the problem of detecting multidimensional subspace signals, which model range-spread targets, in noise of unknown covariance. It is assumed that a primary channel of measurements, possibly consisting of signal plus…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Danilo Orlando , Giuseppe Ricci , Louis L. Scharf

Consider a target being tracked by a cognitive radar network. If the target can intercept noisy radar emissions, how can it detect coordination in the radar network? By 'coordination' we mean that the radar emissions satisfy Pareto…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Luke Snow , Vikram Krishnamurthy

The literature on compressed sensing has focused almost entirely on settings where the signal is noiseless and the measurements are contaminated by noise. In practice, however, the signal itself is often subject to random noise prior to…

Information Theory · Computer Science 2015-10-28 Ery Arias-Castro , Yonina C. Eldar

Interference among frequency modulated continues wave automotive radars can either increase the noise floor, which occurs in the most cases, or generate a ghost target in rare situations. To address the increment of noise floor due to…

Signal Processing · Electrical Eng. & Systems 2019-11-18 Feng Jin , Siyang Cao

We address the Normalized Signal to Noise Ratio (NSNR) metric defined in the seminal paper by Reed, Mallett and Brennan on adaptive detection. The setting is detection of a target vector in additive correlated noise. NSNR is the ratio…

Signal Processing · Electrical Eng. & Systems 2024-09-18 Tzvi Diskin , Ami Wiesel

Autonomous driving highly depends on capable sensors to perceive the environment and to deliver reliable information to the vehicles' control systems. To increase its robustness, a diversified set of sensors is used, including radar…

Signal Processing · Electrical Eng. & Systems 2021-05-04 Alexander Fuchs , Johanna Rock , Mate Toth , Paul Meissner , Franz Pernkopf

The ultimate sensitivity of optical detection is limited by the signal-to-noise ratio (SNR). The first part of the paper shows that coherence plays an important role in the noise analysis. Although interference between an auxiliary wave and…

Optics · Physics 2007-05-23 Taras Plakhotnik

I calculate the noise in the measured correlation functions and spectra of digitized, noiselike signals. In the spectral domain, the signals are drawn from a Gaussian distribution with variance that depends on frequency. Nearly all…

Astrophysics · Physics 2007-05-23 C. R. Gwinn

Classical radar detection techniques rely on adaptive detectors that estimate the noise covariance matrix from target-free secondary data. While effective in Gaussian environments, these methods degrade in the presence of clutter, which is…

Machine Learning · Computer Science 2026-02-24 Jean Pinsolle , Yadang Alexis Rouzoumka , Chengfang Ren , Chistèle Morisseau , Jean-Philippe Ovarlez

We study the noise of the intensity variance and of the intensity correlation and structure functions measured in light scattering from a random medium in the case when these quantities are obtained by averaging over a finite number N of…

The performance of a quantum sensor is fundamentally limited by noise. This noise is particularly damaging when it becomes correlated with the readout of a target signal, caused by fluctuations of the sensor's operating parameters. These…

Quantum-intensity-correlated twin beams of light can be used to measure absorption with precision beyond the classical shot-noise limit. The degree to which this can be achieved with a given estimator is defined by the quality of the…

Quantum Physics · Physics 2020-08-26 Jason D. Mueller , Nigam Samantaray , Jonathan C. F. Matthews

A stylized compressed sensing radar is proposed in which the time-frequency plane is discretized into an N by N grid. Assuming the number of targets K is small (i.e., K much less than N^2), then we can transmit a sufficiently "incoherent"…

Numerical Analysis · Mathematics 2015-05-13 Matthew A. Herman , Thomas Strohmer

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

Radar target detection in the presence of a mixture of non-Gaussian clutter and white thermal noise is a challenging problem. This paper proposes a Rectified Flow Matching-based method for radar detection, termed D-RFM. Unlike existing…

Signal Processing · Electrical Eng. & Systems 2026-03-20 P. Meena , Y. A. Rouzoumka , J. Pinsolle , C. Ren , M. N. El Korso , J. -P. Ovarlez

Alarm correlation plays an important role in improving the service and reliability in modern telecommunications networks. Most previous research of alarm correlation didn't consider the effect of noise data in Database. This paper focuses…

Networking and Internet Architecture · Computer Science 2007-05-23 Qingguo Zheng , Ke Xu , Weifeng Lv , Shilong Ma

Neural correlations play a critical role in sensory information coding. They are of two kinds: signal correlations, when neurons have overlapping sensitivities, and noise correlations from network effects and shared noise. In experiments…

Neurons and Cognition · Quantitative Biology 2025-07-03 Gabriel Mahuas , Thomas Buffet , Olivier Marre , Ulisse Ferrari , Thierry Mora