TITLE:
Window Effect in the Power Spectrum Analysis of a Galaxy Redshift Survey
AUTHORS:
Takahiro Sato, Gert Hütsi, Gen Nakamura, Kazuhiro Yamamoto
KEYWORDS:
Cosmology; Large-Scale Structure of Universe
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.3 No.3,
September
3,
2013
ABSTRACT: We investigate the effect of the window function on the
multipole power spectrum in two different ways. First, we consider the
convolved power spectrum including the window effect, which is obtained by
following the familiar (FKP) method developed by Feldman, Kaiser and Peacock.
We show how the convolved multipole power spectrum is related to the original
power spectrum, using the multipole moments of the window function. Second, we
investigate the deconvolved power spectrum, which is obtained by using the
Fourier deconvolution theorem. In the second approach, we measure the multipole
power spectrum deconvolved from the window effect. We demonstrate how to deal
with the window effect in these two approaches, applying them to the Sloan
Digital Sky Survey (SDSS) luminous red galaxy (LRG) sample.