Minimum variance estimation of galaxy power spectrum in redshift space

@article{Shiraishi2020MinimumVE,
  title={Minimum variance estimation of galaxy power spectrum in redshift space},
  author={Maresuke Shiraishi and Teppei Okumura and Naonori S. Sugiyama and Kazuyuki Akitsu},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2020},
  volume={498}
}
We study an efficient way to enhance the measurability of the galaxy density and/or velocity power spectrum in redshift space. It is based on the angular decomposition with the tripolar spherical harmonic (TripoSH) basis and applicable even to galaxy distributions in wide-angle galaxy surveys. While nontrivial multipole-mode mixings are inevitable in the covariance of the Legendre decomposition coefficient commonly used in the small-angle power spectrum analysis, our analytic computation of the… 

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