Built on

L. Guzzo, M. Pierleoni, B. Meneux, E. Branchini, O. Le Fèvre, C. Marinoni et al., A test of the nature of cosmic acceleration using galaxy redshift distortions , Nature 451
Original
1944
Earlier work this paper cites.
C. Alcock and B. Paczynski, An evolution free test for non-zero cosmological constant , Nature 281
1979
Earlier work this paper cites.
N. Kaiser, Clustering in real space and in redshift space , MNRAS 227
1987
Earlier work this paper cites.
A. J. S. Hamilton, Measuring Omega and the real correlation function from the redshift correlation function , ApJ 385
1992
Earlier work this paper cites.
Cambridge: University Press, —c1992, 2nd ed., 1992
W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical recipes in C. The art of scientific computing · 1992
Earlier work this paper cites.
H. A. Feldman, N. Kaiser and J. A. Peacock, Power-spectrum analysis of three-dimensional redshift surveys , ApJ 426
1994
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D. J. Eisenstein, I. Zehavi, D. W. Hogg, R. Scoccimarro, M. R. Blanton, R. C. Nichol et al., Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies , ApJ 633
2005
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S. Cole, W. J. Percival, J. A. Peacock, P. Norberg, C. M. Baugh, C. S. Frenk et al., The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications , MNRAS 362
2005
Earlier work this paper cites.
Y. P. Jing, Correcting for the Alias Effect When Measuring the Power Spectrum Using a Fast Fourier Transform , ApJ 620
2005
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P. Creminelli, A. Nicolis, L. Senatore, M. Tegmark and M. Zaldarriaga, Limits on non-Gaussianities from WMAP data , Journal of Cosmology and Astro-Particle Physics 5
2006
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K. Yamamoto, M. Nakamichi, A. Kamino, B. A. Bassett and H. Nishioka, A Measurement of the Quadrupole Power Spectrum in the Clustering of the 2dF QSO Survey , PASJ 58
2006
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Academic Press, Boston, seventh edition ed., 2007
I. Gradshteyn and I. Ryzhik, Table of Integrals, Series, and Products · 2007
Earlier work this paper cites.
C. Wagner, V. Müller and M. Steinmetz, Constraining dark energy via baryon acoustic oscillations in the (an)isotropic light-cone power spectrum , A&A 487
Original
2008
Earlier work this paper cites.
M. Shoji, D. Jeong and E. Komatsu, Extracting Angular Diameter Distance and Expansion Rate of the Universe From Two-Dimensional Galaxy Power Spectrum at High Redshifts: Baryon Acoustic Oscillation Fitting Versus Full Modeling , ApJ 693
Original
2009
Earlier work this paper cites.
V. Desjacques and U. Seljak, Primordial non-Gaussianity from the large-scale structure , Classical and Quantum Gravity 27
Original
2010
Earlier work this paper cites.

Similar

C. Blake, S. Brough, M. Colless, C. Contreras, W. Couch, S. Croom et al., The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9 , MNRAS 415
Original
2011
Cited alongside, same era.
R. Laureijs, J. Amiaux, S. Arduini, J. . Auguères, J. Brinchmann, R. Cole et al., Euclid Definition Study Report , ArXiv e-prints (Oct., 2011) , [ 1110.3193 ]
Original
2011
Cited alongside, same era.
Academic Press, Boston, seventh edition ed., 2013
G. B. Arfken, H. J. Weber and F. E. Harris, Mathematical Methods for Physicists (Seventh Edition) · 2013
Cited alongside, same era.
M. Pippig, Pfft: An extension of fftw to massively parallel architectures , SIAM Journal on Scientific Computing 35
2013
Cited alongside, same era.
M. Levi, C. Bebek, T. Beers, R. Blum, R. Cahn, D. Eisenstein et al., The DESI Experiment, a whitepaper for Snowmass 2013 , ArXiv e-prints (Aug., 2013) , [ 1308.0847 ]
Original

Then

H. Gil-Marín, W. J. Percival, A. J. Cuesta, J. R. Brownstein, C.-H. Chuang, S. Ho et al., The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: BAO measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies , MNRAS 460
Original
2016
Later among the works it cites.
Z. Slepian and D. J. Eisenstein, Accelerating the two-point and three-point galaxy correlation functions using Fourier transforms , MNRAS 455
Original
2016
Later among the works it cites.
J. N. Grieb, A. G. Sánchez, S. Salazar-Albornoz and C. Dalla Vecchia, Gaussian covariance matrices for anisotropic galaxy clustering measurements , MNRAS 457
Original
2016
Later among the works it cites.
E. Sefusatti, M. Crocce, R. Scoccimarro and H. M. P. Couchman, Accurate estimators of correlation functions in Fourier space , MNRAS 460
Original
2016
Later among the works it cites.

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2017

An optimal FFT-based anisotropic power spectrum estimator

Hand, Nick, Li, Yin, Slepian, Zachary et al.

Understand

Measurements of line-of-sight dependent clustering via the galaxy power spectrum's multipole moments constitute a powerful tool for testing theoretical models in large-scale structure.

Recent work shows that this measurement, including a moving line-of-sight, can be accelerated using Fast Fourier Transforms (FFTs) by decomposing the Legendre polynomials into products of Cartesian vectors.
Here, we present a faster, optimal means of using FFTs for this measurement.
We avoid redundancy present in the Cartesian decomposition by using a spherical harmonic decomposition of the Legendre polynomials.

Built on

L. Guzzo, M. Pierleoni, B. Meneux, E. Branchini, O. Le Fèvre, C. Marinoni et al., A test of the nature of cosmic acceleration using galaxy redshift distortions , Nature 451
Original
1944
Earlier work this paper cites.
C. Alcock and B. Paczynski, An evolution free test for non-zero cosmological constant , Nature 281
1979
Earlier work this paper cites.
N. Kaiser, Clustering in real space and in redshift space , MNRAS 227
1987
Earlier work this paper cites.
A. J. S. Hamilton, Measuring Omega and the real correlation function from the redshift correlation function , ApJ 385
1992
Earlier work this paper cites.
Cambridge: University Press, —c1992, 2nd ed., 1992
W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical recipes in C. The art of scientific computing · 1992
Earlier work this paper cites.
H. A. Feldman, N. Kaiser and J. A. Peacock, Power-spectrum analysis of three-dimensional redshift surveys , ApJ 426
1994
Earlier work this paper cites.
D. J. Eisenstein, I. Zehavi, D. W. Hogg, R. Scoccimarro, M. R. Blanton, R. C. Nichol et al., Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies , ApJ 633
2005
Earlier work this paper cites.
S. Cole, W. J. Percival, J. A. Peacock, P. Norberg, C. M. Baugh, C. S. Frenk et al., The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications , MNRAS 362
2005
Earlier work this paper cites.
Y. P. Jing, Correcting for the Alias Effect When Measuring the Power Spectrum Using a Fast Fourier Transform , ApJ 620
2005
Earlier work this paper cites.
P. Creminelli, A. Nicolis, L. Senatore, M. Tegmark and M. Zaldarriaga, Limits on non-Gaussianities from WMAP data , Journal of Cosmology and Astro-Particle Physics 5
2006
Earlier work this paper cites.
K. Yamamoto, M. Nakamichi, A. Kamino, B. A. Bassett and H. Nishioka, A Measurement of the Quadrupole Power Spectrum in the Clustering of the 2dF QSO Survey , PASJ 58
2006
Earlier work this paper cites.
Academic Press, Boston, seventh edition ed., 2007
I. Gradshteyn and I. Ryzhik, Table of Integrals, Series, and Products · 2007
Earlier work this paper cites.
C. Wagner, V. Müller and M. Steinmetz, Constraining dark energy via baryon acoustic oscillations in the (an)isotropic light-cone power spectrum , A&A 487
Original
2008
Earlier work this paper cites.
M. Shoji, D. Jeong and E. Komatsu, Extracting Angular Diameter Distance and Expansion Rate of the Universe From Two-Dimensional Galaxy Power Spectrum at High Redshifts: Baryon Acoustic Oscillation Fitting Versus Full Modeling , ApJ 693
Original
2009
Earlier work this paper cites.
V. Desjacques and U. Seljak, Primordial non-Gaussianity from the large-scale structure , Classical and Quantum Gravity 27
Original
2010
Earlier work this paper cites.

Similar

C. Blake, S. Brough, M. Colless, C. Contreras, W. Couch, S. Croom et al., The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9 , MNRAS 415
Original
2011
Cited alongside, same era.
R. Laureijs, J. Amiaux, S. Arduini, J. . Auguères, J. Brinchmann, R. Cole et al., Euclid Definition Study Report , ArXiv e-prints (Oct., 2011) , [ 1110.3193 ]
Original
2011
Cited alongside, same era.
Academic Press, Boston, seventh edition ed., 2013
G. B. Arfken, H. J. Weber and F. E. Harris, Mathematical Methods for Physicists (Seventh Edition) · 2013
Cited alongside, same era.
M. Pippig, Pfft: An extension of fftw to massively parallel architectures , SIAM Journal on Scientific Computing 35
2013
Cited alongside, same era.
M. Levi, C. Bebek, T. Beers, R. Blum, R. Cahn, D. Eisenstein et al., The DESI Experiment, a whitepaper for Snowmass 2013 , ArXiv e-prints (Aug., 2013) , [ 1308.0847 ]
Original

Then

H. Gil-Marín, W. J. Percival, A. J. Cuesta, J. R. Brownstein, C.-H. Chuang, S. Ho et al., The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: BAO measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies , MNRAS 460
Original
2016
Later among the works it cites.
Z. Slepian and D. J. Eisenstein, Accelerating the two-point and three-point galaxy correlation functions using Fourier transforms , MNRAS 455
Original
2016
Later among the works it cites.
J. N. Grieb, A. G. Sánchez, S. Salazar-Albornoz and C. Dalla Vecchia, Gaussian covariance matrices for anisotropic galaxy clustering measurements , MNRAS 457
Original
2016
Later among the works it cites.
E. Sefusatti, M. Crocce, R. Scoccimarro and H. M. P. Couchman, Accurate estimators of correlation functions in Fourier space , MNRAS 460
Original
2016
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2013

Cited alongside, same era.

F. Beutler, S. Saito, H.-J. Seo, J. Brinkmann, K. S. Dawson, D. J. Eisenstein et al., The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: testing gravity with redshift space distortions using the power spectrum multipoles , MNRAS 443

Original

2014

Cited alongside, same era.

M. White, J. L. Tinker and C. K. McBride, Mock galaxy catalogues using the quick particle mesh method , MNRAS 437

Original

2014

Cited alongside, same era.

Z. Slepian and D. J. Eisenstein, A new look at lines of sight: using Fourier methods for the wide-angle anisotropic 2-point correlation function , ArXiv e-prints (Oct., 2015) , [ 1510.04809 ]

Original

2015

Cited alongside, same era.

L. Samushia, E. Branchini and W. J. Percival, Geometric biases in power-spectrum measurements , MNRAS 452

Original

2015

Cited alongside, same era.

J. Yoo and U. Seljak, Wide-angle effects in future galaxy surveys , MNRAS 447

Original

2015

Cited alongside, same era.

D. Bianchi, H. Gil-Marín, R. Ruggeri and W. J. Percival, Measuring line-of-sight-dependent Fourier-space clustering using FFTs , MNRAS 453

Original

2015

Cited alongside, same era.

R. Scoccimarro, Fast estimators for redshift-space clustering , Phys. Rev. D 92

Original

2015

Cited alongside, same era.

B. Reid, S. Ho, N. Padmanabhan, W. J. Percival, J. Tinker, R. Tojeiro et al., SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 12: galaxy target selection and large-scale structure catalogues , MNRAS 455

Original

2016

Later among the works it cites.

DESI Collaboration, A. Aghamousa, J. Aguilar, S. Ahlen, S. Alam, L. E. Allen et al., The desi experiment part i: Science,targeting, and survey design , ArXiv e-prints (oct, 2016) , [ 1611.00036 ]

Original

2016

Later among the works it cites.

DESI Collaboration, A. Aghamousa, J. Aguilar, S. Ahlen, S. Alam, L. E. Allen et al., The desi experiment part ii: Instrument design , ArXiv e-prints (oct, 2016) , [ 1611.00037 ]

Original

2016

Later among the works it cites.

A. J. Ross, F. Beutler, C.-H. Chuang, M. Pellejero-Ibanez, H.-J. Seo, M. Vargas-Magaña et al., The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: observational systematics and baryon acoustic oscillations in the correlation function , MNRAS 464

Original

2017

Closest in time.

M. Vargas-Magaña, S. Ho, S. Fromenteau and A. J. Cuesta, The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Effect of smoothing of density field on reconstruction and anisotropic BAO analysis. , MNRAS (Jan., 2017)

2017

Closest in time.

F. Beutler, H.-J. Seo, A. J. Ross, P. McDonald, S. Saito, A. S. Bolton et al., The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Fourier space , MNRAS 464

Original

2017

Closest in time.

L. Pinol, R. N. Cahn, N. Hand, U. Seljak and M. White, Imprint of desi fiber assignment on the anisotropic power spectrum of emission line galaxies , J. Cosmology Astropart. Phys 2017

Original

2017

Closest in time.

Y. Feng, “pfft-python: a python binding of pfft.” https://github.com/rainwoodman/pfft-python , 2015-2017

2017