The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Correcting for the Alias Effect When Measuring the Power Spectrum Using a Fast Fourier Transform
Open accessAbstract
Because of mass assignment onto grid points in the measurement of the power spectrum using a fast Fourier transform (FFT), the raw power spectrum ⟨|δ f ( k )| 2 ⟩ estimated with the FFT is not the same as the true power spectrum P ( k ). In this paper we derive a formula that relates ⟨|δ f ( k )| 2 ⟩ to P ( k ). For a sample of N discrete objects, the formula reads ⟨|δ f ( k )| 2 ⟩ = [| W ( + 2 k N )| 2 P ( + 2 k N ) + 1/ N | W ( + 2 k N )| 2 ], where W ( k ) is the Fourier transform of the mass assignment function W ( r ), k N is the Nyquist wavenumber, and n is an integer vector. The formula is different from that in some previous works in which the summation over n is neglected. For the nearest grid point, cloud-in-cell, and triangular-shaped cloud assignment functions, we show that the shot-noise term | W ( + 2 k N )| 2 can be expressed by simple analytical functions. To reconstruct P ( k ) from the alias sum | W ( + 2 k N )| 2 P ( + 2 k N ), we propose an iterative method. We test the method by applying it to an N -body simulation sample and show that the method can successfully recover P ( k ). The discussion is further generalized to samples with observational selection effects.
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Cites
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Self-citationLarge-scale structure in the Southern Sky Redshift Survey
Park, C., R., I. G. J., & da Costa, L. N. (1992) · The Astrophysical Journal · doi:10.1086/186423 · Cited by 38
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Cited by
THE LARGE-SCALE BIAS OF DARK MATTER HALOS: NUMERICAL CALIBRATION AND MODEL TESTS
Tinker, J. L., Robertson, B. E., Kravtsov, A. V., Klypin, A., Warren, M. S., Yepes, G., & Gottlöber, S. (2010) · The Astrophysical Journal · doi:10.1088/0004-637x/724/2/878 · Cited by 989
Multi-scale initial conditions for cosmological simulations
Hahn, O., & Abel, T. (2011) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2011.18820.x · Cited by 834
Beutler, F., Seo, H.-J., Ross, A. J., McDonald, P., Saito, S., Bolton, A. S., Brownstein, J. R., Chuang, C.-H., Cuesta, A. J., Eisenstein, D. J., et al. (2017) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw2373 · Cited by 267
Mana, A., Giannantonio, T., Weller, J., Hoyle, B., Hutsi, G., & Sartoris, B. (2013) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stt1062 · Cited by 66
Metadata
- Authors
- Jing, Y. P.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2005-02-20
- Volume
- 620
- Issue
- 2
- Pages
- 559-563
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W1993956748
- Cited by
- 253
- References
- 8
- FWCI
- 2.93
- Type
- journal article
- Language
- en
- Open access
- bronze
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