Fast, exact (but unstable) spin spherical harmonic transforms (2008)
We derive algorithms to perform a spin spherical harmonic transform and inverse for functions of arbitrary spin number. These algorithms involve recasting the spin transform on the two-sphere S^2 as...
McEwen, J. D., Hobson, M. P., Lasenby, A. N., Mortlock, D. J.
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 et al. 2005, 2006a),...
Simulating full-sky interferometric observations (2008)
McEwen, J. D., Scaife, A. M. M.
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 be applicable...
McEwen, J. D., Wiaux, Y., Hobson, M., Vandergheynst, P., Lasenby, A.
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 integrated Sachs-Wolfe...
Exact reconstruction with directional wavelets on the sphere (2008)
Wiaux, Y., McEwen, J. D., Vandergheynst, P., Blanc, O.
A new formalism is derived for the analysis and exact reconstruction of band-limited signals on the sphere with directional wavelets. It represents an evolution of a previously developed wavelet...
Exact reconstruction with directional wavelets on the sphere (2007)
Wiaux, Y., McEwen, J. D., Vandergheynst, P., Blanc, O.
A new formalism is derived for the analysis and exact reconstruction of band-limited signals on the sphere with directional wavelets. It represents an evolution of the wavelet formalism developed by...
Bianchi VII_h models and the cold spot texture (2007)
Bridges, M., McEwen, J. D., Cruz, M., Hobson, M. P., Lasenby, A. N., Vielva, P., ...
We have returned to our previous Bianchi VII_h analysis in light of the Cruz et al. 2007 suggestion that the cold spot observed near the southern Galactic pole may be a remnant temperature...
Detecting dark energy with wavelets on the sphere (2007)
Dark energy dominates the energy density of our Universe, yet we know very little about its nature and origin. Although strong evidence in support of dark energy is provided by the cosmic microwave...
Complex data processing: fast wavelet analysis on the sphere (2007)
Wiaux, Y., McEwen, J. D., Vielva, P.
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...
Cosmological applications of a wavelet analysis on the sphere (2007)
McEwen, J. D., Vielva, P., Wiaux, Y., Barreiro, R. B., Cayon, L., Hobson, M. P., ...
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 conjunction with other...
McEwen, J. D., Wiaux, Y., Hobson, M. P., Vandergheynst, P., Lasenby, A. N.
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 integrated Sachs-Wolfe...
Complex data processing: fast wavelet analysis on the sphere (2007)
Wiaux, Y., McEwen, J. D., Vielva, P.
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...
Cosmological applications of a wavelet analysis on the sphere (2007)
McEwen, J. D., Vielva, P., Wiaux, Y., Barreiro, R. B., Cayón, L., Hobson, M. P., ...
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 conjunction with other...
Optimal filters on the sphere (2006)
McEwen, J. D., Hobson, M. P., Lasenby, A. N.
We derive optimal filters on the sphere in the context of detecting compact objects embedded in a stochastic background process. The matched filter and the scale adaptive filter are derived on the...
A directional continuous wavelet transform on the sphere (2006)
McEwen, J. D., Hobson, M. P., Lasenby, A. N.
A new construction of a directional continuous wavelet analysis on the sphere is derived herein. We adopt the harmonic scaling idea for the spherical dilation operator recently proposed by Sanz et...
Markov chain Monte Carlo analysis of Bianchi VII_h models (2006)
Bridges, M., McEwen, J. D., Lasenby, A. N., Hobson, M. P.
We have extended the analysis of Jaffe et al. to a complete Markov chain Monte Carlo (MCMC) study of the Bianchi type ${\rm VII_h}$ models including a dark energy density, using 1-year and 3-year...
Detection of the ISW effect and corresponding dark energy constraints (2006)
McEwen, J. D., Vielva, P., Hobson, M. P., Martinez-Gonzalez, E., Lasenby, A. N.
Using a directional spherical wavelet analysis we detect the integrated Sachs-Wolfe (ISW) effect, indicated by a positive correlation between the Wilkinson Microwave Anisotropy Probe (WMAP) and NRAO...
McEwen, J. D., Hobson, M. P., Lasenby, A. N., Mortlock, D. J.
We repeat the directional spherical real Morlet wavelet analysis used to detect non-Gaussianity in the WMAP 1-year data (McEwen et al. 2005a), on the WMAP 3-year data. The non-Gaussian signal...
McEwen, J. D., Vielva, P., Hobson, M. P., Martinez-Gonzalez, E., Lasenby, A. N.
Using a directional spherical wavelet analysis we detect the integrated Sachs-Wolfe (ISW) effect, indicated by a positive correlation between the first-year Wilkinson Microwave Anisotropy Probe...
McEwen, J. D., Hobson, M. P., Lasenby, A. N., Mortlock, D. J.
Many of the current anomalies reported in the Wilkinson Microwave Anisotropy Probe (WMAP) 1-year data disappear after `correcting' for the best-fit embedded Bianchi type VII_h component (Jaffe et al....
Fast directional continuous spherical wavelet transform algorithms (2005)
McEwen, J. D., Hobson, M. P., Mortlock, D. J., Lasenby, A. N.
We describe the construction of a spherical wavelet analysis through the inverse stereographic projection of the Euclidean planar wavelet framework, introduced originally by Antoine and Vandergheynst...
A fast directional continuous spherical wavelet transform (2004)
McEwen, J. D., Hobson, M. P., Lasenby, A. N., Mortlock, D. J.
A fast algorithm for Antoine and Vandergheynst's (1998) directional continuous spherical wavelet transform (CSWT) is presented. Computational requirements are reduced by a factor of O(\sqrt{N}), when...
McEwen, J. D., Hobson, M. P., Lasenby, A. N., Mortlock, D. J.
A directional spherical wavelet analysis is performed to examine the Gaussianity of the WMAP 1-year data. Such an analysis is facilitated by the introduction of a fast directional continuous...