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Optimal map-making with singularities
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DOI：10.1088/1475-7516/2024/04/019.png)
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摘要
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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.
Keyword:
CMBR experiments
CMBR polarisation
gravitational waves and CMBR polarization
期刊
IF:
5.9
论文数:
1.3W
被引数:
4.7W
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