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A high-significance detection of non-Gaussianity in the WMAP 5-year data using directional spherical wavelets
J. D. McEwen, M. P. Hobson, A. N. Lasenby +1
We repeat the directional spherical real Morlet wavelet analysis, used to detect non-Gaussianity in the Wilkinson Microwave Anisotropy Probe (WMAP) 1-year and 3-year data (McEwen e…
Simulating full-sky interferometric observations
J. D. McEwen, A. M. M. Scaife
Aperture array interferometers, such as that proposed for the Square Kilometre Array (SKA), will see the entire sky, hence the standard approach to simulating visibilities will not…
Cosmological applications of a wavelet analysis on the sphere
J. D. McEwen, P. Vielva, Y. Wiaux +6
The cosmic microwave background (CMB) is a relic radiation of the Big Bang and as such it contains a wealth of cosmological information. Statistical analyses of the CMB, in conjunc…
Complex data processing: fast wavelet analysis on the sphere
Y. Wiaux, J. D. McEwen, P. Vielva
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…
Probing dark energy with steerable wavelets through correlation of WMAP and NVSS local morphological measures
J. D. McEwen, Y. Wiaux, M. P. Hobson +2
Using local morphological measures on the sphere defined through a steerable wavelet analysis, we examine the three-year WMAP and the NVSS data for correlation induced by the integ…
A fast directional continuous spherical wavelet transform
J. D. McEwen, M. P. Hobson, A. N. Lasenby +1
A fast algorithm for Antoine and Vandergheynst's (1998) directional continuous spherical wavelet transform (CSWT) is presented. Computational requirements are reduced by a factor o…