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An optimal method for the power spectrum measurement
Yang YiBin1; Feng LongLong2; Pan Jun2; Yang XiaoHu3
2009
Source PublicationRESEARCH IN ASTRONOMY AND ASTROPHYSICS
ISSN1674-4527
Volume9Issue:2Pages:227
AbstractAn aliasing effect brought up by mass assignment onto Fast Fourier Transformation (FFT) grids may bias measurement of the power spectrum of large scale structures. In this paper, based on the Beylkin's unequally spaced FFT technique, we propose a new precise method to extract the true power spectrum of a large discrete data set. We compare the traditional mass assignment schemes with the new method using the Daub6 and the 3rd-order B-spline scaling functions. Our measurement of Poisson samples and samples of N-body simulations shows that the B-spline scaling function is an optimal choice for mass assignment in the sense that (1) it has a compact support in real space and thus yields an efficient algorithm (2) without any extra corrections. The Fourier space behavior of the 3rd-order B-spline scaling function enables it to be able to accurately recover the true power spectrum with errors less than 5% up to k <= k(N). It is expected that such a method can be applied to higher order statistics in Fourier space and will enable us to have a precision capture of the non-Gaussian features in the large scale structure of the universe.
KeywordFAST FOURIER-TRANSFORMS CFA REDSHIFT SURVEY DIGITAL SKY SURVEY APM GALAXY SURVEY IRAS GALAXIES HALO MODEL EVOLUTION large scale structure of universe methods: numerical
Language英语
Funding Project[National Natural Science Foundation of China]
Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/62761
Collection中国科学院国家天文台
Affiliation1.University Sci & Technol China, Ctr Astrophys, Hefei 230026, Peoples R China
2.中国科学院紫金山天文台
3.中国科学院国家天文台
Recommended Citation
GB/T 7714
Yang YiBin,Feng LongLong,Pan Jun,et al. An optimal method for the power spectrum measurement[J]. RESEARCH IN ASTRONOMY AND ASTROPHYSICS,2009,9(2):227.
APA Yang YiBin,Feng LongLong,Pan Jun,&Yang XiaoHu.(2009).An optimal method for the power spectrum measurement.RESEARCH IN ASTRONOMY AND ASTROPHYSICS,9(2),227.
MLA Yang YiBin,et al."An optimal method for the power spectrum measurement".RESEARCH IN ASTRONOMY AND ASTROPHYSICS 9.2(2009):227.
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