CMB power spectrum estimation via hierarchical decomposition

Physical Review D

Volumn 64, Issue 8, 2001, Pages

  Doré, Olivier ^a   Knox, Lloyd ^b   Peel, Alan ^b  

^a INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ANISOTROPY; ARTICLE; COSMOS; DECOMPOSITION; MICROWAVE RADIATION; POWER SPECTRUM;

EID: 0035887095     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.64.083001     Document Type: Article

References (27)

1. See, e.g., A. Jaffe et al., Phys. Rev. Lett. 86, 3475 (2000).
2. L. Knox, Phys. Rev. D 52, 4307 (1995);
3. G. Jungman, M. Kamionkowski, A. Kosowsky, and D. Spergel, Phys. Rev. D ibid. 54, 1332 (1996);
4. J. R. Bond, G. Efstathiou, and M. Tegmark, Mon. Not. R. Astron. Soc. 291, L33 (1997);
5. D. Eisenstein, W. Hu, and M. Tegmark, Astrophys. J. Lett. 504, L57 (1998).
6. J.R. Bond, R. Crittenden, A.H. Jaffe, and L. Knox, Comput. Sci. Eng., 1 (2), 21 (1999).
7. J. Borrill, Phys. Rev. D 59, 027302 (1999).
8. O. Doré, R. Teyssier, F.R. Bouchet, and D. Vibert, astro-ph/0101112, see also http://ulysse.iap.fr/download/ mapcumba
9. B.D. Wandelt, E. Hivon, and K. Górski, Phys. Rev. D (to be published), astro-ph/0008111; astro-ph/9808292.
10. I. Szapudi, S. Prunet, D. Pogosyan, A. Szalay, and J.R. Bond, astro-ph/0010256.
11. S.P. Oh, D.N. Spergel, and G. Hinshaw, Astrophys. J. 510, 551 (1999).
12. B. Wandelt, Proceedings of MPA/MPE/ESO Conference "Mining the Sky," 2000, Garching, Germany, astro-ph/0012333; astro-ph/0012416.
13. J.R. Bond, A.H. Jaffe, and L. Knox, Phys. Rev. D 57, 2117 (1998).
14. These equations were independently derived as the optimal, unbiased quadratic estimator in M. Tegmark, Phys. Rev. D 55, 5895 (1997).
15. This can also be understood as the usual problem of localizing simultaneously in position and momentum; M. Tegmark, Mon. Not. R. Astron. Soc. 280, 299 (1996).
16. A. Lange et al., Phys. Rev. D 63, 042001 (2001).
17. J. Borrill and P. Koev (in preparation).
18. E.K. Górski, E. Hivon, and B.D. Wandelt, in Proceedings of the MPA/ESO Garching Conference 1998, edited by A.J. Banday, K. Sheth, and L. Da Costa, and http://www.eso.org/ kgorski/healpix/
19. A. Jaffe (private communication).
20. J.R. Bond, A.H. Jaffe, and L. Knox, Astrophys. J. 533, 19 (2000).
21. U. Seljak and M. Zaldarriaga, Astrophys. J. 469, 437 (1996).
22. proc by running MADCUMBA using up to 77 processors.
23. We remind the reader that application of HD to megapixel and larger maps requires some way to calculate N for the sub-maps from the time-ordered data. This could be accomplished by the method we briefly described in Sec. II D, which will be described in more detail in [14].
24. That the correlation-function approach can be regarded as a quadratic estimator with sub-optimal weighting was emphasized in [7].
25. A. Moore et al., Fast Algorithms and Efficient Statistics: N-point Correlation Functions, Proceedings of MPA/MPE/ ESO Conference "Mining the Sky," 2000, Garching, Germany, astro-ph/0012333.
26. The speed-up with KD-tree search techniques will also lead to some spectral resolution degradation.
27. l method described in E. Hivon, K.M. Gorski, C.B. Netterfield, B.P. Crill, S. Prunet, and F. Hansen, astro-ph/0105302.