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Compressed sensing (CS) is a sampling paradigm that allows to simultaneously measure and compress signals that are sparse or compressible in some domain. The choice of a sensing matrix that carries out the measurement has a defining impact…

Information Theory · Computer Science 2017-08-02 Anastasia Lavrenko , Florian Roemer , Giovanni Del Galdo , Reiner Thomae

We derive relations between standard order parameter correlations and the noise correlations in time of flight images, which are valid for systems with long range order as well as low dimensional systems with algebraic decay of…

Other Condensed Matter · Physics 2011-05-31 L. Mathey , A. Vishwanath , E. Altman

There are several mathematical models yielding 1/f noise. For example, 1/f spectrum can be obtained from stochastic sequence of pulses having power-law distribution of pulse durations or from nonlinear stochastic differential equations. We…

Statistical Mechanics · Physics 2014-02-12 J. Ruseckas , B. Kaulakys

We investigate the impact of $1/f$ noise on cosmology for an intensity mapping survey with SKA1-MID Band\,1 and Band\,2. We use a Fisher matrix approach to forecast constraints on cosmological parameters under the influence of $1/f$ noise,…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 T. Chen , R. A. Battye , A. A. Costa , C. Dickinson , S. E. Harper

We study the effect of super-sample covariance (SSC) on the power spectrum and higher-order statistics: bispectrum, halo mass function, and void size function. We also investigate the effect of SSC on the cross covariance between the…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-17 Adrian E. Bayer , Jia Liu , Ryo Terasawa , Alexandre Barreira , Yici Zhong , Yu Feng

We introduce a novel method that we call Single-Shot Cross-Spectroscopy (SSCS), for extracting the auto- and cross-power spectral densities of dephasing noise of a qubit pair. The method uses straightforward input, namely single-shot…

Quantum Physics · Physics 2025-09-29 Juan S. Rojas-Arias , Peter Stano , Yi-Hsien Wu , Leon C. Camenzind , Seigo Tarucha , Daniel Loss

We generalize the concept of the ordinary skew-spectrum to probe the effect of non-Gaussianity on the morphology of Cosmic Microwave Background (CMB) maps in several domains: in real-space (where they are commonly known as…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Dipak Munshi , Joseph Smidt , Asantha Cooray , Alessandro Renzi , Alan Heavens , Peter Coles

We study the effect of spatially correlated noise on coherence resonance (CR) in a Watts-Strogatz small-world network of Fitz Hugh-Nagumo neurons, where the noise correlation decays exponentially with distance between neurons. It is found…

Disordered Systems and Neural Networks · Physics 2009-11-11 Okyu Kwon , Hang-Hyun Jo , Hie-Tae Moon

Oscillations in the baryon-photon fluid prior to recombination imprint different signatures on the power spectrum and correlation function of matter fluctuations. The measurement of these features using galaxy surveys has been proposed as…

Astrophysics · Physics 2009-11-13 Ariel G. Sanchez , Carlton M. Baugh , Raul Angulo

"Spin noise spectroscopy" (SNS) is a powerful optical technique for probing electron and hole spin dynamics that is based on detecting their intrinsic and random fluctuations while in thermal equilibrium, an approach guaranteed by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Luyi Yang , P. Glasenapp , A. Greilich , D. R. Yakovlev , M. Bayer , S. A. Crooker

Over repeat presentations of the same stimulus, sensory neurons show variable responses. This "noise" is typically correlated between pairs of cells, and a question with rich history in neuroscience is how these noise correlations impact…

Neurons and Cognition · Quantitative Biology 2015-06-16 Yu Hu , Joel Zylberberg , Eric Shea-Brown

Herein, we present a detailed analysis of an eigenvalue based sensing technique in the presence of correlated noise in the context of a Cognitive Radio (CR). We use a Standard Condition Number (SCN) based decision statistic based on…

Information Theory · Computer Science 2012-10-24 Shree Krishna Sharma , Symeon Chatzinotas , Björn Ottersten

In this paper, we examine the effects of correlated Gaussian noise on a two-dimensional neuronal network that is locally modeled by the Rulkov map. More precisely, we study the effects of the noise correlation on the variations of the mean…

Disordered Systems and Neural Networks · Physics 2010-09-23 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

Large-scale structure (LSS) surveys will increasingly provide stringent constraints on our cosmological models. Recently, the density-marked correlation function (MCF) has been introduced, offering an easily computable density-correlation…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-11 L. M. Lai , J. C. Ding , X. L. Luo , Y. Z. Yang , Z. H. Wang , K. S. Liu , G. F. Liu , X. Wang , Y. Zheng , Z. Y. Li , L. Zhang , X. D. Li

Modeling and synthesizing image noise is an important aspect in many computer vision applications. The long-standing additive white Gaussian and heteroscedastic (signal-dependent) noise models widely used in the literature provide only a…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Abdelrahman Abdelhamed , Marcus A. Brubaker , Michael S. Brown

This paper investigates the effects of setting the sampling frequency significantly higher than conventional guidelines in system identification. Although continuous-time identification methods resolve the numerical difficulties encountered…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Ichiro Maruta , Toshiharu Sugie

We study the relationship between dynamical properties and interaction patterns in complex oscillator networks in the presence of noise. A striking finding is that noise leads to a general, one-to-one correspondence between the dynamical…

Data Analysis, Statistics and Probability · Physics 2010-02-05 Jie Ren , Wen-Xu Wang , Baowen Li , Ying-Cheng Lai

In this paper, a novel and robust algorithm is proposed for adaptive beamforming based on the idea of reconstructing the autocorrelation sequence (ACS) of a random process from a set of measured data. This is obtained from the first column…

Information Theory · Computer Science 2021-06-25 Saeed Mohammadzadeh , Vitor H. Nascimento , Rodrigo C. de Lamare , Osman Kukrer

We consider an alternative to conventional three-point statistics such as the bispectrum, which is purely based on the Fourier phases of the density field: the line correlation function. This statistic directly probes the non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 Alexander Eggemeier , Robert E. Smith

Diffusion noise is a major source of spectral line broadening in liquid state nano-scale nuclear magnetic resonance with shallow nitrogen-vacancy centres, whose main consequence is a limited spectral resolution. This limitation arises by…