scholarly journals Erratum: Efficiency of the cross-correlation statistic for gravitational wave stochastic background signals with non-Gaussian noise and heterogeneous detector sensitivities [Phys. Rev. D 92 , 104025 (2015)]

2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Lionel Martellini ◽  
Tania Regimbau
Keyword(s):  
Gravitational Wave ◽  
Gaussian Noise ◽  
Cross Correlation ◽  
Stochastic Background ◽  
The Cross ◽  
Non Gaussian ◽  
Correlation Statistic

NON-GAUSSIAN NOISE IN GRAVITATIONAL WAVE RESONANT DETECTORS: EXPLORER AND NAUTILUS REPORT

2000 ◽  
Vol 09 (03) ◽  
pp. 257-261 ◽  
Author(s):  
PAOLO BONIFAZI
Keyword(s):  
Gravitational Wave ◽  
Gaussian Noise ◽  
Stationary Noise ◽  
Wave Event ◽  
Non Gaussian

The problem of the non-Gaussian and non-stationary noise in the data of the International Gravitational Wave Event Collaboration (IGEC) is investigated for the two detectors Explorer and Nautilus. We report simple tests that show how part of the IGEC events belong to non-Gaussian and non-stationary noise.

scholarly journals Random Response to Periodic Excitation With Correlated Disturbances

1995 ◽  
Author(s):  
Zhikun Hou ◽  
Yunshen Zhou ◽  
Mikhail F. Dimentberg ◽  
Mohammad N. Noori
Keyword(s):  
Phase Modulation ◽  
Cross Correlation ◽  
Gaussian White Noise ◽  
Random Phase ◽  
Fourth Moment ◽  
Periodic Excitation ◽  
The Cross ◽  
The Moment ◽  
Non Gaussian ◽  
Closure Method

Abstract The paper addresses non-Gaussian stationary response of linear single-degree-of-freedom (SDOF) systems subject to a periodic excitation with correlated random amplitude and phase disturbances which are modeled as correlated Gaussian white noise processes. Correlation between amplitude and phase modulation is specified by the cross-correlation coefficient. Numerical results for the second and fourth moment responses are presented. The probability density function of the response is calculated based on the cumulant-neglect closure method. Non-Gaussianity of the response is discussed in terms of the excess factor. The results show that the moment responses generally increase with larger random amplitude disturbance and decrease with larger random phase modulation. The cross-correlation between amplitude and phase disturbances tend to reduce the system moment response. Large relative detuning results in smaller system moment responses. The response may become Gaussian in the sense of up to the fourth moment for sufficiently large relative detuning or random phase disturbances.

scholarly journals Characterizing transient noise in the LIGO detectors

2018 ◽  
Vol 376 (2120) ◽  
pp. 20170286 ◽  
Author(s):  
L. K. Nuttall
Keyword(s):  
Data Quality ◽  
Gravitational Wave ◽  
Environmental Conditions ◽  
Gaussian Noise ◽  
Noise Sources ◽  
Diverse Range ◽  
Non Gaussian ◽  
True Signal

Data from the LIGO detectors typically contain many non-Gaussian noise transients which arise due to instrumental and environmental conditions. These non-Gaussian transients can be an issue for the modelled and unmodelled transient gravitational-wave searches, as they can mask or mimic a true signal. Data quality can change quite rapidly, making it imperative to track and find new sources of transient noise so that data are minimally contaminated. Several examples of transient noise and the tools used to track them are presented. These instances serve to highlight the diverse range of noise sources present at the LIGO detectors during their second observing run. This article is part of a discussion meeting issue ‘The promises of gravitational-wave astronomy’.

scholarly journals Searching for Stochastic Background of Ultra-Light Fields with Atomic Sensors

Universe ◽  
2018 ◽  
Vol 4 (10) ◽  
pp. 99
Author(s):  
Tigran Kalaydzhyan ◽  
Nan Yu
Keyword(s):  
Cross Correlation ◽  
Correlation Method ◽  
Light Fields ◽  
Observation Data ◽  
Main Motivation ◽  
Cross Spectrum ◽  
Space Network ◽  
Stochastic Background ◽  
The Cross ◽  
Atomic Sensors

We propose a cross-correlation method for the searches of ultra-light fields, in particular, with a space network of atomic sensors. The main motivation of the approach is cancellation of uncorrelated noises in the observation data and unique pattern the fields leave on the cross-spectrum, depending on their nature (i.e., scalar, vector or tensor). In particular, we analytically derive a dependence of the cross-spectrum on the angle between two pairs of detectors. We then confirm obtained angular curves with a numerical simulation. We apply the method to the detection of dark matter and gravitational waves.

OBSERVABILITY OF THE SZ EFFECT MAP'S NON-GAUSSIAN FEATURES

2006 ◽  
Vol 21 (19) ◽  
pp. 1541-1546 ◽  
Author(s):  
LIANG CAO ◽  
YAO-QUAN CHU
Keyword(s):  
Order Statistics ◽  
Fourth Order ◽  
Cross Correlation ◽  
Hot Gas ◽  
Galaxy Distribution ◽  
Cross Correlations ◽  
Wmap Data ◽  
The Cross ◽  
Non Gaussian ◽  
Cmb Fluctuations

We study the high order cross-correlation between the WMAP map and 2MASS galaxy distribution in order to detect the non-Gaussian behaviors of the SZ effect on the CMB fluctuations induced by 2MASS. The 2MASS distribution is significantly non-Gaussian, which is characterized by the fourth order correlations in DWT representation. With an unbiased mock sample we show, if the CMB data contains the information of 2MASS hot gas caused SZ effect, the non-Gaussianity of the cross-correlations between the CMB and 2MASS is observable with the fourth order statistics on scales of clusters. We compared this result with the cross-correlation between the observed WMAP data and 2MASS, finding similar non-Gaussianity to the mock SZ samples. It strongly evidences the existence and observability of the SZ signal in the WMAP data caused by the 2MASS clusters.

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