论文标题
超越Planck VIII。通过自旋谐波进行有效的旁路卷积和校正
BeyondPlanck VIII. Efficient Sidelobe Convolution and Correction through Spin Harmonics
论文作者
论文摘要
我们在旋转谐波方面介绍了Conviqt卷积算法的新表述，并将其应用于BeyondPlanck的Sidelobe校正问题，BeyondPlanck是CMB分析的第一个端到端贝叶斯Gibbs采样框架。我们将我们的实施与以前的普朗克级别的实现进行了比较，并在准确性方面找到了两个代码之间的良好一致性，但是速度的速度达到3--10倍，具体取决于频率频道限制，$ l _ {\ textrm {max}}}} $和$ m _ {\ m_ {\ textrm {max {max}} $。由于所有低级计算都通过外部球形谐波变换库来处理，因此新算法实现和维护更为简单。我们发现，普朗克LFI的平均侧球估计与以前的努力非常吻合。此外，我们提出了新颖的Sidelobe RMS地图，这些图量量化了由于天空模型的变化而导致的侧齿校正中的不确定性。
We introduce a new formulation of the Conviqt convolution algorithm in terms of spin harmonics, and apply this to the problem of sidelobe correction for BeyondPlanck, the first end-to-end Bayesian Gibbs sampling framework for CMB analysis. We compare our implementation to the previous Planck LevelS implementation, and find good agreement between the two codes in terms of accuracy, but with a speed-up reaching a factor of 3--10, depending on the frequency bandlimits, $l_{\textrm{max}}$ and $m_{\textrm{max}}$. The new algorithm is significantly simpler to implement and maintain, since all low-level calculations are handled through an external spherical harmonic transform library. We find that our mean sidelobe estimates for Planck LFI agree well with previous efforts. Additionally, we present novel sidelobe rms maps that quantify the uncertainty in the sidelobe corrections due to variations in the sky model.
