http://arxiv.org/abs/1810.00503
We present an efficient implementation of Wiener filtering of real-space linear field and optimal quadratic estimator of its power spectrum. By recasting the reconstruction into an optimization problem, we provide a flexible framework that can be used on a variety of cosmological fields. We present results for a variety of test cases, using simulated examples of projected density fields, projected shear maps from galaxy lensing, and observed Cosmic Microwave Background (CMB) temperature anisotropies, with a wide range of map incompleteness and variable noise. For smaller cases where direct numerical inversion is possible, we show that the maximum a posteriori solution matches that created by direct Wiener Filtering at a fraction of the overall computation cost. This technique allows for accurate map and power spectrum reconstruction even with complex masks and nontrivial noise properties.
B. Horowitz, U. Seljak and G. Aslanyan
Tue, 2 Oct 18
74/84
Comments: 23 pages, 14 figures
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