Measuring the galaxy power spectrum with multiresolution decomposition. IV. Redshift distortion

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	Measuring the galaxy power spectrum with multiresolution decomposition. IV. Redshift distortion
	Yang, XH; Feng, LL; Chu, YQ; Fang, LZ; Yang, XH , Univ Sci & Technol China, Ctr Astrophys, 96 Gains Lu, Hefei 230026, Anhui, Peoples R China.
刊名	ASTROPHYSICAL JOURNAL
	2002
卷号	566 期号:2 页码:630-640
关键词	Space Distortions
ISSN号	0004-637X
英文摘要	In this paper, we develop a theory of redshift distortion of the galaxy power spectrum in the discrete wavelet transform (DWT) representation. Because the DWT power spectrum is dependent on both the scale and shape (configuration) of the decomposition modes, it is sensitive to distortion of the shape of the field. On the other hand, the redshift distortion causes a shape distortion of distributions in real space with respect to redshift space. Therefore, the shape-dependent DWT power spectrum is useful for detecting the effect of redshift distortion. We first established the mapping between the DWT power spectra in redshift and real space. The mapping depended on the redshift-distortion effects of (1) bulk velocity, (2) selection function, and (3) pairwise peculiar velocity. We then proposed beta estimators using the DWT off-diagonal power spectra. These beta estimators are model-free, even when the nonlinear redshift-distortion effect is not negligible. Moreover, these estimators do not rely on the assumption of whether the pairwise velocity dispersion is scale dependent. Tests with N-body simulation samples show that the proposed beta estimators can yield reliable measurements of beta with about 20% uncertainty for all popular dark matter models. We also develop an algorithm for reconstruction of the power spectrum in real space from the redshift-distorted power spectrum. Numerical tests also show that the real power spectrum can be well recovered from the redshift-distorted power spectrum.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000173804900003
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/13593]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Yang, XH , Univ Sci & Technol China, Ctr Astrophys, 96 Gains Lu, Hefei 230026, Anhui, Peoples R China.
推荐引用方式 GB/T 7714	Yang, XH,Feng, LL,Chu, YQ,et al. Measuring the galaxy power spectrum with multiresolution decomposition. IV. Redshift distortion[J]. ASTROPHYSICAL JOURNAL,2002,566(2):630-640.
APA	Yang, XH,Feng, LL,Chu, YQ,Fang, LZ,&Yang, XH , Univ Sci & Technol China, Ctr Astrophys, 96 Gains Lu, Hefei 230026, Anhui, Peoples R China..(2002).Measuring the galaxy power spectrum with multiresolution decomposition. IV. Redshift distortion.ASTROPHYSICAL JOURNAL,566(2),630-640.
MLA	Yang, XH,et al."Measuring the galaxy power spectrum with multiresolution decomposition. IV. Redshift distortion".ASTROPHYSICAL JOURNAL 566.2(2002):630-640.