Hao-Ran Yu, Joachim Harnois-Déraps, Tong-Jie Zhang, Ue-Li Pen
We quantify the performance of a non-linear Wiener filter, constructed in
wavelet space, at recovering some of the Fisher information that was lost in
the weak lensing convergence field. The proposed method consists in a
separation of the original field into the sum of a Gaussian and a non-Gaussian
contribution. After filtering an ensemble of such fields, which are obtained
from $N$-body simulations, we find that we can recapture about four times more
Fisher information, an effect that can potentially improve by a significant
amount the constraining power of weak lensing surveys on cosmological
parameters, including the dark energy equation of state $\omega$. We compare
this performance with that of the logarithmic mapping and find that the wavelet
method can recover up to three times more information.
View original:
http://arxiv.org/abs/1012.0444
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