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Efficient Wiener filtering without preconditioning
Franz Elsner, Benjamin D. Wandelt
We present a new approach to calculate the Wiener filter solution of general data sets. It is trivial to implement, flexible, numerically absolutely stable, and guaranteed to conve…
Accelerating convolutions on the sphere with hybrid GPU/CPU kernel splitting
P. M. Sutter, Benjamin D. Wandelt, Franz Elsner
We present a general method for accelerating by more than an order of magnitude the convolution of pixelated function on the sphere with a radially-symmetric kernel. Our method spl…
Fast Wiener filtering of CMB maps
Franz Elsner, Benjamin D. Wandelt
We present the application of a new method to compute the Wiener filter solution of large and complex data sets. Contrary to the iterative solvers usually employed in signal proces…
The pre-launch Planck Sky Model: a model of sky emission at submillimetre to centimetre wavelengths
J. Delabrouille, M. Betoule, J. -B. Melin +39
We present the Planck Sky Model (PSM), a parametric model for the generation of all-sky, few arcminute resolution maps of sky emission at submillimetre to centimetre wavelengths, i…
Likelihood, Fisher information, and systematics of cosmic microwave background experiments
Franz Elsner, Benjamin D. Wandelt
Every experiment is affected by systematic effects that hamper the data analysis and have the potential to ultimately degrade its performance. In the case of probes of the cosmic m…
Fast calculation of the Fisher matrix for cosmic microwave background experiments
Franz Elsner, Benjamin D. Wandelt
The Fisher information matrix of the cosmic microwave background (CMB) radiation power spectrum coefficients is a fundamental quantity that specifies the information content of a C…