SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition

Understand

The spherical Fourier-Bessel (SFB) decomposition is a natural choice for the radial/angular separation that allows extraction of cosmological information from large volume galaxy surveys, taking into account all wide-angle effects.

• In this paper we develop a SFB power spectrum estimator that allows the measurement of the largest angular and radial modes with the next generation of galaxy surveys.
• The code measures the pseudo-SFB power spectrum, and takes into account mask, selection function, pixel window, and shot noise.
• We show that the local average effect (or integral constraint) is significant only in the largest-scale mode, and we provide an analytical covariance matrix.