Deconvolution of window effect in galaxy power spectrum analysis
Abstract
We develop a new method for deconvolving the smearing effect of the survey window in the analysis of the galaxy multipole power spectra from a redshift survey. This method is based on the deconvolution theorem, and is compatible with the use of the fast Fourier transform. It is possible to measure the multipole power spectra deconvolved from the window effect efficiently. Applying this method to the luminous red galaxy sample of the Sloan Digital Sky Survey data release 7 as well as mock catalogues, we demonstrate how the method works properly. Using this deconvolution technique, the amplitude of the multipole power spectrum is corrected. Besides, the covariance matrices of the deconvolved power spectra get quite close to the diagonal form. This is also advantageous in the study of the BAO signature.
Cite
@article{arxiv.1010.0289,
title = {Deconvolution of window effect in galaxy power spectrum analysis},
author = {Takahiro Sato and Gert Huetsi and Kazuhiro Yamamoto},
journal= {arXiv preprint arXiv:1010.0289},
year = {2015}
}
Comments
11 pages, 6 figures, version accepted for publication in Progress of Theoretical Physics