标题： SuperFaB：一种球面傅里叶-贝塞尔分解的优秀代码 显示英文标题

标题： SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition

摘要： 球面傅里叶-贝塞尔（SFB）分解是径向/角度分离的自然选择，它允许从大体积星系巡天中最佳提取宇宙学信息。 在本文中，我们开发了一个SFB功率谱估计器，该估计器允许测量下一代星系巡天中的最大角度和径向模式。 该代码测量伪SFB功率谱，并考虑了遮罩、选择函数、像素窗口和散粒噪声。 我们表明，局部平均效应仅在最大尺度模式中显著，并提供了分析协方差矩阵。 通过在包含巡天体积的最小和最大半径处施加边界条件，该估计器不会受到过去证明具有挑战性的数值不稳定性的影响。 该估计器在简化的罗马类似、SPHEREx类似和欧几里得类似遮罩和选择函数上进行了演示。 为了直观理解和验证，我们还探讨了利姆伯近似下的SFB功率谱。 我们发布了用Julia编写的关联公共代码。 显示英文摘要

摘要： The spherical Fourier-Bessel (SFB) decomposition is a natural choice for the radial/angular separation that allows optimal extraction of cosmological information from large volume galaxy surveys. 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 is significant only in the largest-scale mode, and we provide an analytical covariance matrix. By imposing boundary conditions at the minimum and maximum radius encompassing the survey volume, the estimator does not suffer from the numerical instabilities that have proven challenging in the past. The estimator is demonstrated on simplified Roman-like, SPHEREx-like, and Euclid-like mask and selection functions. For intuition and validation, we also explore the SFB power spectrum in the Limber approximation. We release the associated public code written in Julia.