Systematics mitigation for catalogue-based angular power spectra

Thomas Cornish

doi:10.1093/mnras/stag360

2026-04-01

PRE

DOI：10.1093/mnras/stag360

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摘要

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近期工作已发展出一种形式化方法，可直接从包含天空中离散位置场值的目录中计算角功率谱，从而避免了创建场像素化图的需要，同时也避免了混叠和有限分辨率效应。我们将此形式化方法加以改进，通过引入模板去投影以缓解测量角功率谱中的系统偏差。我们还引入了一种缓解“去投影偏差”——即由去投影引起的模式损失——的替代方法，采用简单模拟计算传递函数。我们发现这种方法至少与现有方法表现相当，并且对观测场真实功率谱的猜测精度相对不敏感，除了最大尺度（l小于或约等于3）。此外，我们推导了去投影在光子噪声分量中引入偏差的精确表达式，这进一步提高了该方法的准确性。我们在模拟数据集上测试了我们的形式化方法，证明了其既适用于离散采样的场，也适用于星系成团这一特殊情况，其中调查选择函数以随机目录或连续天空图的形式定义。在移除光子噪声偏差并利用传递函数校正剩余的模式损失后，我们的形式化方法在所有测试场景中均能产生无偏的角功率谱测量结果。最后，我们将该方法应用于真实数据，并证明其结果与标准的基于图的伪C_l形式化方法一致。我们将该方法实现为公开代码NaMaster。

Keyword:

methods: data analysis

methods: numerical

期刊

Monthly Notices of the Royal Astronomical Society

IF:

4.8

论文数:

7.1W

被引数:

25.0W

机构

imperial college london

学者数:

9.9K

论文数: 4.4K

被引数: 0

university of oxford

学者数:

9.8W

论文数: 8.6W

被引数: 137

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