论文标题
使用Toeplitz近似值快速计算高分辨率宇宙微波背景图的角度谱和协方
Fast computation of angular power spectra and covariances of high-resolution cosmic microwave background maps using the Toeplitz approximation
论文作者
论文摘要
我们提出了一个简单的近似值,可以加快模式耦合矩阵的计算,这通常是计算宇宙微波背景温度和极化各向异性的计算无偏角功率谱及其相关的协方差矩阵的瓶颈。近似值导致主算法的速度超过一个数量级,而精确度却很小。我们证明了即将进行的宇宙微波背景调查(例如Simons天文台和CMB-S4)的模拟性能。
We present a simple approximation that can speed up the computation of the mode-coupling matrices, which are usually the bottleneck for computing unbiased angular power spectra, as well as their associated covariance matrices, of the cosmic microwave background temperature and polarization anisotropies. The approximation results in the speed up of the MASTER algorithm by more than an order of magnitude with very little loss of precision. We demonstrate the performance on simulations of forthcoming cosmic microwave background surveys such as the Simons Observatory and CMB-S4 for a wide variety of survey window functions.