Optimal map-making with singularities

被引：0

作者：

Zhang, Zirui ^{[2
,3
,4
]}

Wu, Yiwen ^{[2
,5
]}

Liu, Yang ^{[2
]}

Li, Siyu ^{[2
]}

Li, Hong ^{[2
]}

Liu, Hao ^{[1
,2
]}

机构：

[1] Anhui Univ, Sch Phys & Optoelect Engn, 111 Jiulong Rd, Hefei 230601, Anhui, Peoples R China

[2] Chinese Acad Sci, Inst High Energy Phys, Key Lab Particle & Astrophys, 19B YuQuan Rd, Beijing 100049, Peoples R China

[3] Shandong Univ, Inst Frontier & Interdisciplinary Sci, Qingdao 266237, Shandong, Peoples R China

[4] Shandong Univ, Key Lab Particle Phys & Particle Irradiat MOE, Qingdao 266237, Shandong, Peoples R China

[5] Univ Chinese Acad Sci, Beijing 100086, Peoples R China

来源：

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2024年 / 04期

基金：

国家重点研发计划;

关键词：

CMBR experiments; CMBR polarisation; gravitational waves and CMBR polarization; MICROWAVE BACKGROUND DATA; INFLATIONARY UNIVERSE; GRAVITY-WAVES; POLARIZATION; FLATNESS; HORIZON;

D O I：

10.1088/1475-7516/2024/04/019

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this work, we investigate the optimal map -making technique for the linear system d = Ax + n while carefully taking into account singularities that may come from either the covariance matrix C = ⟨nnt⟩ or the main matrix A. We first describe the general optimal solution, which is quite complex, and then use the modified pseudo inverse to create a near -optimal solution, which is simple, robust, and can significantly alleviate the unwanted noise amplification during map -making. The effectiveness of the nearly optimal solution is then compared to that of the naive co -adding solution and the standard pseudo inverse solution, showing noticeable improvements. Interestingly, all one needs to get the near -optimal solution with singularity is just a tiny change to the classical solution, which is designed for the case without singularity.

引用

页数：29

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