Fast power spectrum estimation

  title={Fast power spectrum estimation},
  author={Ue-li Pen},
  journal={Monthly Notices of the Royal Astronomical Society},
  • U. Pen
  • Published 29 April 2003
  • Physics
  • Monthly Notices of the Royal Astronomical Society
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, cosmic microwave background (CMB), polarization and weak lensing data. We present a mathematical convergence analysis… 

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