SARABANDE: 3/4 Point Correlation Functions with Fast Fourier Transforms

Autor:	Sunseri, James, Slepian, Zachary, Portillo, Stephen, Hou, Jiamin, Kahraman, Sule, Finkbeiner, Douglas P.
Rok vydání:	2022
Předmět:	Astrophysics - Instrumentation and Methods for Astrophysics Astrophysics - Cosmology and Nongalactic Astrophysics
Druh dokumentu:	Working Paper
Popis:	We present a new $\texttt{python}$ package SARABANDE for measuring 3 & 4 Point Correlation Functions (3/4 PCFs) in $\mathcal{O}(N_{\rm g} \log N_{\rm g})$ time using Fast Fourier Transforms (FFTs), with $N_{\rm g}$ the number of grid points used for the FFT. SARABANDE can measure both projected and full 3 and 4 PCFs on gridded 2D and 3D datasets. The general technique is to generate suitable angular basis functions on an underlying grid, radially bin these to create kernels, and convolve these kernels with the original gridded data to obtain expansion coefficients about every point simultaneously. These coefficients are then combined to give us the 3/4 PCF as expanded in our basis. We apply SARABANDE to simulations of the Interstellar Medium (ISM) to show the results and scaling of calculating both the full and projected 3/4 PCFs. Comment: 16 Pages, 8 Figures, 8 Algorithms, 1 code package
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.10206 Zobrazit plný text záznamu View this record from Arxiv