# Information content in the angular power spectrum of weak lensing: wavelet method

@article{Yu2010InformationCI, title={Information content in the angular power spectrum of weak lensing: wavelet method}, author={Hao-Ran Yu and Joachim Harnois-D'eraps and Tong-Jie Zhang and Ue-li Pen}, journal={Monthly Notices of the Royal Astronomical Society}, year={2010}, volume={421}, pages={832-840} }

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 of 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…

## 10 Citations

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Qiaoyin Pan, 2, ∗ Ue-Li Pen, 3, 4, 5, † Derek Inman, 6 and Hao-Ran Yu 7 School of Physics, Nankai University, 94 Weijin Rd, Nankai, Tianjin, 300071, China Canadian Institute for Theoretical…

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## References

SHOWING 1-10 OF 51 REFERENCES

INCREASING THE FISHER INFORMATION CONTENT IN THE MATTER POWER SPECTRUM BY NONLINEAR WAVELET WIENER FILTERING

- Physics
- 2011

We develop a purely mathematical tool to recover some of the information lost in the nonlinear collapse of large-scale structure. From a set of 141 simulations of dark matter density fields, we…

Weak Lensing Reconstruction and Power Spectrum Estimation: Minimum Variance Methods

- Physics
- 1998

Large-scale structure distorts the images of background galaxies, which allows one to measure directly the projected distribution of dark matter in the universe and determine its power spectrum. Here…

Information content in the halo-model dark-matter power spectrum

- Physics
- 2006

Using the halo model, we investigate the cosmological Fisher information in the non-linear dark-matter power spectrum about the initial amplitude of linear power. We find that there is little…

Re-capturing cosmic information

- Physics
- 2010

Gravitational lensing of distant galaxies can be exploited to infer the convergence field as a function of angular position on the sky. The statistics of this field, much like that of the cosmic…

Information content of the non‐linear power spectrum: the effect of beat‐coupling to large scales

- Physics
- 2006

We measure the covariance of the non-linear matter power spectrum from N-body simulations using two methods. In the first case, the covariance of power is estimated from the scatter over many random…

Information content of the non-linear matter power spectrum

- Physics
- 2005

We use an ensemble of N-body simulations of the currently favoured (concordance) cosmological model to measure the amount of information contained in the non-linear matter power spectrum about the…

REJUVENATING POWER SPECTRA. II. THE GAUSSIANIZED GALAXY DENSITY FIELD

- Physics
- 2011

We find that, even in the presence of discreteness noise, a Gaussianizing transform (producing a more Gaussian one-point distribution) reduces nonlinearities in the power spectra of cosmological…

Breaking the degeneracy: Optimal use of three-point weak lensing statistics

- Physics
- 2010

Abstract We study the optimal use of three-point statistics in the analysis of weak lensing by large-scale structure. The three-point statistics have long been advocated as a powerful tool to break…

Optimal Weak-Lensing Skewness Measurements

- Physics
- 2003

Weak-lensing measurements are starting to provide statistical maps of the distribution of matter in the universe that are increasingly precise and complementary to cosmic microwave background maps.…

Weak lensing and dark energy

- Physics
- 2002

We study the power of upcoming weak lensing surveys to probe dark energy. Dark energy modifies the distance-redshift relation as well as the matter power spectrum, both of which affect the weak…