This work introduces an unbiased minimum variance painting of the pixel domain CMB maps for both the missing and available sky regions. In the missing region, it generates CMB realizations that have identical statistical properties to the expected CMB signal; and in the available region, it significantly alleviate the unwanted residuals, e.g., the residual of EB-leakage. The time cost of this method follows ∼O(N3 side) (Nside is the map resolution parameter), which is similar to the fast spherical harmonic transforms and is much better than the traditional minimum variance method that follows ∼O(N6 side). This method is the basis of a series of minimum variance estimations for analyzing CMB datasets, and more works based on it will follow in the future. ar X iv :2 10 1. 03 27 4v 1 [ as tr oph .C O ] 9 J an 2 02 1

中文翻译：

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CMB地图的像素域多分辨率最小方差修复

这项工作为缺失的和可用的天空区域引入了像素域 CMB 地图的无偏最小方差绘制。在缺失区域，它生成与预期 CMB 信号具有相同统计特性的 CMB 实现；并且在可用区域中，它显着减轻了不需要的残留物，例如EB泄漏的残留物。该方法的时间成本遵循∼O(N3 side)（Nside 是地图分辨率参数），这类似于快速球谐变换，并且比遵循∼O(N6 side) 的传统最小方差方法要好得多。该方法是用于分析 CMB 数据集的一系列最小方差估计的基础，未来将有更多基于它的工作。ar X iv :2 10 1. 03 27 4v 1 [ as tr oph .CO ] 9 J an 2 02 1