Wavelet domain Bayesian denoising of string signal in the cosmic microwave background
D. K. Hammond,
Y. Wiaux,
P. Vandergheynst,
Corresponding Author
D. K. Hammond
Institute of Electrical Engineering, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
E-mail: [email protected] (DKH); [email protected] (YW); [email protected] (PV)Search for more papers by this authorCorresponding Author
Y. Wiaux
Institute of Electrical Engineering, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
E-mail: [email protected] (DKH); [email protected] (YW); [email protected] (PV)Search for more papers by this authorCorresponding Author
P. Vandergheynst
Institute of Electrical Engineering, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
E-mail: [email protected] (DKH); [email protected] (YW); [email protected] (PV)Search for more papers by this authorD. K. Hammond,
Y. Wiaux,
P. Vandergheynst,
Corresponding Author
D. K. Hammond
Institute of Electrical Engineering, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
E-mail: [email protected] (DKH); [email protected] (YW); [email protected] (PV)Search for more papers by this authorCorresponding Author
Y. Wiaux
Institute of Electrical Engineering, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
E-mail: [email protected] (DKH); [email protected] (YW); [email protected] (PV)Search for more papers by this authorCorresponding Author
P. Vandergheynst
Institute of Electrical Engineering, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
E-mail: [email protected] (DKH); [email protected] (YW); [email protected] (PV)Search for more papers by this authorABSTRACT
An algorithm is proposed for denoising the signal induced by cosmic strings in the cosmic microwave background. A Bayesian approach is taken, based on modelling the string signal in the wavelet domain with generalized Gaussian distributions. Good performance of the algorithm is demonstrated by simulated experiments at arcminute resolution under noise conditions including primary and secondary cosmic microwave background anisotropies, as well as instrumental noise.
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