1,117 research outputs found
On the Non-Gaussianity Observed in the COBE-DMR Sky Maps
In this paper we pursue the origin of the non-Gaussianity determined by a
bispectrum analysis of the COBE-DMR 4-year sky maps. The robustness of the
statistic is demonstrated by the rebinning of the data into 12 coordinate
systems. By computing the bispectrum statistic as a function of various data
partitions - by channel, frequency, and time interval, we show that the
observed non-Gaussian signal is driven by the 53 GHz data. This frequency
dependence strongly rejects the hypothesis that the signal is cosmological in
origin. A jack-knife analysis of the coadded 53 and 90 GHz sky maps reveals
those sky pixels to which the bispectrum statistic is particularly sensitive.
We find that by removing data from the 53 GHz sky maps for periods of time
during which a known systematic effect perturbs the 31 GHz channels, the
amplitudes of the bispectrum coefficients become completely consistent with
that expected for a Gaussian sky. We conclude that the non-Gaussian signal
detected by the normalised bispectrum statistic in the publicly available DMR
sky maps is due to a systematic artifact. The impact of removing the affected
data on estimates of the normalisation of simple models of cosmological
anisotropy is negligible.Comment: 14 pages, plus 8 Postscript and 3 GIF figures. LaTeX2e document using
AASTeX v5.0 macros. Revised version accepted for publication in the
Astrophysical Journal: small changes to the text, minor modifications to
figures 1 and
Testing the Gaussianity of the COBE-DMR data with spherical wavelets
We investigate the Gaussianity of the 4-year COBE-DMR data (in HEALPix
pixelisation) using an analysis based on spherical Haar wavelets. We use all
the pixels lying outside the Galactic cut and compute the skewness, kurtosis
and scale-scale correlation spectra for the wavelet coefficients at each scale.
We also take into account the sensitivity of the method to the orientation of
the input signal. We find a detection of non-Gaussianity at per cent
level in just one of our statistics. Taking into account the total number of
statistics computed, we estimate that the probability of obtaining such a
detection by chance for an underlying Gaussian field is 0.69. Therefore, we
conclude that the spherical wavelet technique shows no strong evidence of
non-Gaussianity in the COBE-DMR data.Comment: latex file 7 pages, 6 figures, submitted to MNRA
Foreground separation using a flexible maximum-entropy algorithm: an application to COBE data
A flexible maximum-entropy component separation algorithm is presented that
accommodates anisotropic noise, incomplete sky-coverage and uncertainties in
the spectral parameters of foregrounds. The capabilities of the method are
determined by first applying it to simulated spherical microwave data sets
emulating the COBE-DMR, COBE-DIRBE and Haslam surveys. Using these simulations
we find that is very difficult to determine unambiguously the spectral
parameters of the galactic components for this data set due to their high level
of noise. Nevertheless, we show that is possible to find a robust CMB
reconstruction, especially at the high galactic latitude. The method is then
applied to these real data sets to obtain reconstructions of the CMB component
and galactic foreground emission over the whole sky. The best reconstructions
are found for values of the spectral parameters: T_d=19 K, alpha_d=2,
beta_ff=-0.19 and beta_syn=-0.8. The CMB map has been recovered with an
estimated statistical error of \sim 22 muK on an angular scale of 7 degrees
outside the galactic cut whereas the low galactic latitude region presents
contamination from the foreground emissions.Comment: 29 pages, 25 figures, version accepted for publication in MNRAS. One
subsection and 6 figures added. Main results unchange
The Planck-LFI instrument: analysis of the 1/f noise and implications for the scanning strategy
We study the impact of the 1/f noise on the PLANCK Low Frequency Instrument
(LFI) osbervations (Mandolesi et al 1998) and describe a simple method for
removing striping effects from the maps for a number of different scanning
stategies. A configuration with an angle between telescope optical axis and
spin-axis just less than 90 degrees (namely 85 degress) shows good destriping
efficiency for all receivers in the focal plane, with residual noise
degradation < 1-2 %. In this configuration, the full sky coverage can be
achieved for each channel separately with a 5 degrees spin-axis precession to
maintain a constant solar aspect angle.Comment: submitted to Astronomy and Astrophysics, 12 pages, 15 PostSript
figure
Detecting the Cosmic Gravitational Wave Background with the Big Bang Observer
The detection of the Cosmic Microwave Background Radiation (CMB) was one of
the most important cosmological discoveries of the last century. With the
development of interferometric gravitational wave detectors, we may be in a
position to detect the gravitational equivalent of the CMB in this century. The
Cosmic Gravitational Background (CGB) is likely to be isotropic and stochastic,
making it difficult to distinguish from instrument noise. The contribution from
the CGB can be isolated by cross-correlating the signals from two or more
independent detectors. Here we extend previous studies that considered the
cross-correlation of two Michelson channels by calculating the optimal signal
to noise ratio that can be achieved by combining the full set of interferometry
variables that are available with a six link triangular interferometer. In
contrast to the two channel case, we find that the relative orientation of a
pair of coplanar detectors does not affect the signal to noise ratio. We apply
our results to the detector design described in the Big Bang Observer (BBO)
mission concept study and find that BBO could detect a background with
.Comment: 15 pages, 12 Figure
Cleaning sky survey databases using Hough Transform and Renewal String approaches
Large astronomical databases obtained from sky surveys such as the
SuperCOSMOS Sky Survey (SSS) invariably suffer from spurious records coming
from artefactual effects of the telescope, satellites and junk objects in orbit
around earth and physical defects on the photographic plate or CCD. Though
relatively small in number these spurious records present a significant problem
in many situations where they can become a large proportion of the records
potentially of interest to a given astronomer. Accurate and robust techniques
are needed for locating and flagging such spurious objects, and we are
undertaking a programme investigating the use of machine learning techniques in
this context. In this paper we focus on the four most common causes of unwanted
records in the SSS: satellite or aeroplane tracks, scratches, fibres and other
linear phenomena introduced to the plate, circular halos around bright stars
due to internal reflections within the telescope and diffraction spikes near to
bright stars. Appropriate techniques are developed for the detection of each of
these. The methods are applied to the SSS data to develop a dataset of spurious
object detections, along with confidence measures, which can allow these
unwanted data to be removed from consideration. These methods are general and
can be adapted to other astronomical survey data.Comment: Accepted for MNRAS. 17 pages, latex2e, uses mn2e.bst, mn2e.cls,
md706.bbl, shortbold.sty (all included). All figures included here as low
resolution jpegs. A version of this paper including the figures can be
downloaded from http://www.anc.ed.ac.uk/~amos/publications.html and more
details on this project can be found at
http://www.anc.ed.ac.uk/~amos/sattrackres.htm
Detection and discrimination of cosmological non-Gaussian signatures by multi-scale methods
Recent Cosmic Microwave Background (CMB) observations indicate that the
temperature anisotropies arise from quantum fluctuations in the inflationary
scenario. In the simplest inflationary models, the distribution of CMB
temperature fluctuations should be Gaussian. However, non-Gaussian signatures
can be present. They might have different origins and thus different
statistical and morphological characteristics.
In this context and motivated by recent and future CMB experiments, we search
for, and discriminate between, different non-Gaussian signatures. We analyse
simulated maps of three cosmological sources of temperature anisotropies:
Gaussian distributed CMB anisotropies from inflation, temperature fluctuations
from cosmic strings and anisotropies due to the kinetic Sunyaev-Zel'dovich (SZ)
effect both showing a non-Gaussian character. We use different multi-scale
methods, namely, wavelet, ridgelet and curvelet transforms. The sensitivity and
the discriminating power of the methods is evaluated using simulated data sets.
We find that the bi-orthogonal wavelet transform is the most powerful for the
detection of non-Gaussian signatures and that the curvelet and ridgelet
transforms characterise quite precisely and exclusively the cosmic strings.
They allow us thus to detect them in a mixture of CMB + SZ + cosmic strings. We
show that not one method only should be applied to understand non-Gaussianity
but rather a set of different robust and complementary methods should be used.Comment: Accepted for publication in A&A. Paper with high resolution figures
can be found at http://jstarck.free.fr/cmb03.pd
Frequentist comparison of CMB local extrema statistics in the five-year WMAP data with two anisotropic cosmological models
We present local extrema studies of two models that introduce a preferred
direction into the observed cosmic microwave background (CMB) temperature
field. In particular, we make a frequentist comparison of the one- and
two-point statistics for the dipole modulation and ACW models with data from
the five-year Wilkinson Microwave Anisotropy Probe (WMAP). This analysis is
motivated by previously revealed anomalies in the WMAP data, and particularly
the difference in the statistical nature of the temperature anisotropies when
analysed in hemispherical partitions.
The analysis of the one-point statistics indicates that the previously
determined hemispherical variance difficulties can be apparently overcome by a
dipole modulation field, but new inconsistencies arise if the mean and the
l-dependence of the statistics are considered. The two-point correlation
functions of the local extrema, the temperature pair product and the
point-point spatial pair-count, demonstrate that the impact of such a
modulation is to over-`asymmetrise' the temperature field on smaller scales
than the wave-length of the dipole or quadrupole, and this is disfavored by the
observed data.The results from the ACW model predictions, however, are
consistent with the standard isotropic hypothesis. The two-point analysis
confirms that the impact of this type of violation of isotropy on the
temperature extrema statistics is relatively weak.
From this work, we conclude that a model with more spatial structure than the
dipole modulated or rotational-invariance breaking models are required to fully
explain the observed large-scale anomalies in the WMAP data.Comment: 10 pages, 4 figures, 3 tables, accepted for publication in MNRA
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