Measuring the galaxy power spectrum with multiresolution decomposition. II. Diagonal and off-diagonal power spectra of the Las Campanas Redshift Survey galaxies

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	Measuring the galaxy power spectrum with multiresolution decomposition. II. Diagonal and off-diagonal power spectra of the Las Campanas Redshift Survey galaxies
	Fang, LZ; Yang, XH; Feng, LL; Chu, YQ; Yang, XH , Univ Sci & Technol China, Ctr Astrophys, Hefei 230026, Anhui, Peoples R China.
刊名	ASTROPHYSICAL JOURNAL
	2001
卷号	553 期号:1 页码:1-13
关键词	Nonlinear Evolution Density Fields Distortions Catalog
ISSN号	0004-637X
英文摘要	We study the power spectrum estimator based on the discrete wavelet transform (DWT) for three-dimensional samples. The DWT estimator for higher than one-dimensional samples provides two types of spectra with respect to diagonal and off-diagonal modes, respectively. The two types of modes have different spatial invariance, and therefore the diagonal and off-diagonal DWT power spectra are very flexible for dealing with configuration-related problems in power spectrum detection. With simulation samples and the mock catalogs of the Las Campanas Redshift Survey (LCRS), we show that (1) the slicelike geometry of the LCRS does not affect the off-diagonal power spectrum with a "slicelike" mode; (2) the Poisson sampling with the LCRS selection function does not cause more than 1 sigma error in the DWT power spectrum; and (3) the powers of the mass or galaxy random velocity fluctuations, which cause the redshift distortion, are approximately scale-independent. These results ensure that the uncertainties of the power spectrum measurement are under control. The scatter of the DWT power spectra of the six strips of the LCRS survey is found to be rather small, less than 1 sigma of the cosmic variance of the mock sample in the wavenumber range 0.1< k<2 h Mpc(-1). To fit the detected LCRS diagonal DWT power spectrum with CDM models, we find that the best-fitting redshift distortion parameter beta is about the same as that obtained from the Fourier power spectrum. The velocity dispersions sigma (v) for SCDM and Lambda CDM models are also consistent with other sigma (v) detections with the LCRS. A systematic difference between the best-fitting parameters of diagonal and off-diagonal power spectra have been significantly measured. This indicates that the off-diagonal power spectra are capable of providing information about the power spectrum of the galaxy velocity field.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000169280400001
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/12745]
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, Hefei 230026, Anhui, Peoples R China.
推荐引用方式 GB/T 7714	Fang, LZ,Yang, XH,Feng, LL,et al. Measuring the galaxy power spectrum with multiresolution decomposition. II. Diagonal and off-diagonal power spectra of the Las Campanas Redshift Survey galaxies[J]. ASTROPHYSICAL JOURNAL,2001,553(1):1-13.
APA	Fang, LZ,Yang, XH,Feng, LL,Chu, YQ,&Yang, XH , Univ Sci & Technol China, Ctr Astrophys, Hefei 230026, Anhui, Peoples R China..(2001).Measuring the galaxy power spectrum with multiresolution decomposition. II. Diagonal and off-diagonal power spectra of the Las Campanas Redshift Survey galaxies.ASTROPHYSICAL JOURNAL,553(1),1-13.
MLA	Fang, LZ,et al."Measuring the galaxy power spectrum with multiresolution decomposition. II. Diagonal and off-diagonal power spectra of the Las Campanas Redshift Survey galaxies".ASTROPHYSICAL JOURNAL 553.1(2001):1-13.