1,090 research outputs found
A comprehensive overview of the Cold Spot
The report of a significant deviation of the CMB temperature anisotropies
distribution from Gaussianity (soon after the public release of the WMAP data
in 2003) has become one of the most solid WMAP anomalies. This detection
grounds on an excess of the kurtosis of the Spherical Mexican Hat Wavelet
coefficients at scales of around 10 degrees. At these scales, a prominent
feature --located in the southern Galactic hemisphere-- was highlighted from
the rest of the SMHW coefficients: the Cold Spot. This article presents a
comprehensive overview related to the study of the Cold Spot, paying attention
to the non-Gaussianity detection methods, the morphological characteristics of
the Cold Spot, and the possible sources studied in the literature to explain
its nature. Special emphasis is made on the Cold Spot compatibility with a
cosmic texture, commenting on future tests that would help to give support or
discard this hypothesis.Comment: 21 pages, 14 figures. Accepted for publication in the Advances in
Astronomy special issue "Testing the Gaussianity and Statistical Isotropy of
the Universe
Filter design for the detection of compact sources based on the Neyman-Pearson detector
This paper considers the problem of compact source detection on a Gaussian
background in 1D. Two aspects of this problem are considered: the design of the
detector and the filtering of the data. Our detection scheme is based on local
maxima and it takes into account not only the amplitude but also the curvature
of the maxima. A Neyman-Pearson test is used to define the region of
acceptance, that is given by a sufficient linear detector that is independent
on the amplitude distribution of the sources. We study how detection can be
enhanced by means of linear filters with a scaling parameter and compare some
of them (the Mexican Hat wavelet, the matched and the scale-adaptive filters).
We introduce a new filter, that depends on two free parameters (biparametric
scale-adaptive filter). The value of these two parameters can be determined,
given the a priori pdf of the amplitudes of the sources, such that the filter
optimizes the performance of the detector in the sense that it gives the
maximum number of real detections once fixed the number density of spurious
sources. The combination of a detection scheme that includes information on the
curvature and a flexible filter that incorporates two free parameters (one of
them a scaling) improves significantly the number of detections in some
interesting cases. In particular, for the case of weak sources embedded in
white noise the improvement with respect to the standard matched filter is of
the order of 40%. Finally, an estimation of the amplitude of the source is
introduced and it is proven that such an estimator is unbiased and it has
maximum efficiency. We perform numerical simulations to test these theoretical
ideas and conclude that the results of the simulations agree with the
analytical ones.Comment: 15 pages, 13 figures, version accepted for publication in MNRAS.
Corrected typos in Tab.
Complex data processing: fast wavelet analysis on the sphere
In the general context of complex data processing, this paper reviews a
recent practical approach to the continuous wavelet formalism on the sphere.
This formalism notably yields a correspondence principle which relates wavelets
on the plane and on the sphere. Two fast algorithms are also presented for the
analysis of signals on the sphere with steerable wavelets.Comment: 20 pages, 5 figures, JFAA style, paper invited to J. Fourier Anal.
and Appli
Alignment and signed-intensity anomalies in WMAP data
Significant alignment and signed-intensity anomalies of local features of the
cosmic microwave background (CMB) are detected on the three-year WMAP data,
through a decomposition of the signal with steerable wavelets on the sphere.
Firstly, an alignment analysis identifies two mean preferred planes in the sky,
both with normal axes close to the CMB dipole axis. The first plane is defined
by the directions toward which local CMB features are anomalously aligned. A
mean preferred axis is also identified in this plane, located very close to the
ecliptic poles axis. The second plane is defined by the directions anomalously
avoided by local CMB features. This alignment anomaly provides further insight
on recent results (Wiaux et al. 2006). Secondly, a signed-intensity analysis
identifies three mean preferred directions in the southern galactic hemisphere
with anomalously high or low temperature of local CMB features: a cold spot
essentially identified with a known cold spot (Vielva et al. 2004), a second
cold spot lying very close to the southern end of the CMB dipole axis, and a
hot spot lying close to the southern end of the ecliptic poles axis. In both
analyses, the anomalies are observed at wavelet scales corresponding to angular
sizes around 10 degress on the celestial sphere, with global significance
levels around 1%. Further investigation reveals that the alignment and
signed-intensity anomalies are only very partially related. Instrumental noise,
foreground emissions, as well as some form of other systematics, are strongly
rejected as possible origins of the detections. An explanation might still be
envisaged in terms of a global violation of the isotropy of the Universe,
inducing an intrinsic statistical anisotropy of the CMB.Comment: 12 pages, 7 figures. Accepted for publication in MNRAS. Small changes
made (including the new subsection 3.4) to match the final versio
Cross-correlation of the CMB and radio galaxies in real, harmonic and wavelet spaces: detection of the integrated Sachs-Wolfe effect and dark energy constraints
We report the first detection of the ISW effect in wavelet space, at scales
in the sky around 7 degrees with a significance of around 3.3 sigma, by
cross-correlating the WMAP first-year data and the NRAO VLA Sky Survey (NVSS).
In addition, we present a detailed comparison among the capabilities of three
different techniques for two different objectives: to detect the ISW and to put
constraints in the nature of the dark energy. The three studied techniques are:
the cross-angular power spectrum (CAPS, harmonic space), the correlation
function (CCF, real space) and the covariance of the Spherical Mexican Hat
Wavelet (SMHW) coefficients (CSMHW, wavelet space). We prove that the CSMHW is
expected to provide a higher detection of the ISW effect for a certain scale.
This prediction has been corroborated by the analysis of the data. The SMHW
analysis shows that the cross-correlation signal is caused neither by
systematic effects nor foreground contamination. However, by taking into
account the information encoded in all the multipoles/scales/angles, the CAPS
provides slightly better constraints than the SMHW in the cosmological
parameters that define the nature of the dark energy. The limits provided by
the CCF are wider than for the other two methods. Two different cases have been
studied: 1) a flat Lambda-CDM universe and 2) a flat universe with an equation
of state parameter different from -1. In the first case, the CAPS provides (for
a bias value of b = 1.6) 0.59 < Lambda density < 0.84 (at 1 sigma CL).
Moreover, the CAPS rejects the range Lambda density < 0.1 at 3.5 sigma, which
is the highest detection of the dark energy reported up to date. In the second
case, the CAPS gives 0.50 < dark energy density < 0.82 and -1.16 < w < 0.43 (at
1 sigma CL).Comment: 12 pages, 7 figures, accepted for publication in MNRAS. Analysis
redone. Changes in the estimation of the cosmological parametres. Additional
comparison between wavelets and more standard technique
Alonso Berruguete, sus obras y revolución que causaron en el arte escultórico español
Copia digital. Valladolid : Junta de Castilla y León. Consejería de Cultura y Turismo, 2009-201
Steerable wavelet analysis of CMB structures alignment
This paper reviews the application of a novel methodology for analysing the
isotropy of the universe by probing the alignment of local structures in the
CMB. The strength of the proposed methodology relies on the steerable wavelet
filtering of the CMB signal. One the one hand, the filter steerability renders
the computation of the local orientation of the CMB features affordable in
terms of computation time. On the other hand, the scale-space nature of the
wavelet filtering allows to explore the alignment of the local structures at
different scales, probing possible different phenomena. We present the WMAP
first-year data analysis recently performed by the same authors (Wiaux et al.),
where an extremely significant anisotropy was found. In particular, a preferred
plane was detected, having a normal direction with a northern end position
close to the northern end of the CMB dipole axis. In addition, a most preferred
direction was found in that plane, with a northern end direction very close to
the north ecliptic pole. This result synthesised for the first time previously
reported anomalies identified in the direction of the dipole and the ecliptic
poles axes. In a forthcoming paper (Vielva et al.), we have extended our
analysis to the study of individual frequency maps finding first indications
for discarding foregrounds as the origin of the anomaly. We have also tested
that the preferred orientations are defined by structures homogeneously
distributed in the sky, rather than from localised regions. We have also
analysed the WMAP 3-year data, finding the same anomaly pattern, although at a
slightly lower significance level.Comment: 14 pages, 8 figures. Proceedings of the Fundamental Physics With CMB
workshop, UC Irvine, March 23-25, 2006, to be published in New Astronomy
Review
\u3ci\u3eThe Legend of Halmonga\u3c/i\u3e
When ice began to melt, three black seeds from the first poppy fell. Old Candamu, the Bent- Back, took them and sowed them in the land of his house. He watched and waited, but they did not sprout. “What ails you, Old Candamu?” asked Pisuerga, the Mother-River, the Giver of Life
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