Fast Power Spectrum Estimation

Details Fast Power Spectrum Estimation Fast Power Spectrum Estimation

2003-04-29

arxiv.org/abs/astro-ph/0304513v1

Mon.Not.Roy.Astron.Soc. 346 (2003) 619

Astronomy and Astrophysics

Astrophysics

11 pages, 3 figures

Scientific paper

10.1046/j.1365-2966.2003.07118.x

We present a new algorithm to rapidly and optimally compute power spectra. This new algorithm is based on a generalization of iterative multigrid, and has computational cost O(N log N), compared to the standard brute force approach which costs O(N^3). The procedure retains this speed on the full sky and for ill-conditioned matrices. It is applicable to galaxy power spectra, CMB, polarization and weak lensing data. We present a mathematical convergence analysis, and performance results.

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