Destriping CMB temperature and polarization maps | Astronomy & Astrophysics (A&A)

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Table 1:

Table of matrices.
Matrix	Size	Eq.	Comment
P	$n_{t}\times 3n_p$	(2)	pointing matrix
F	$n_{t} \times n_b$	(3)	baselines to TOD
${\mathbf{C}_w}\equiv \langle \vec{w}\vec{w}^{\rm T} \rangle$	$n_{t} \times n_{t}$	(5)	white noise cov.
$\mathbf{M}\equiv \mathbf{P}^{\rm T}{\mathbf{C}_w^{-1}}\mathbf{P}$	$3n_p \times 3n_p$	(9)	$N_{\rm obs}$ matrix
$\mathbf{B}\equiv {\mathbf{M}^{-1}}\mathbf{P}^{\rm T}{\mathbf{C}_w^{-1}}$	$3n_p \times n_{t}$	(21)	bin TOD to a map
$\mathbf{Z}\equiv \mathbf{I}- \mathbf{P}\mathbf{B}$	$n_{t} \times n_{t}$	(12)
$\mathbf{D}\equiv \mathbf{F}^{\rm T}{\mathbf{C}_w^{-1}}\mathbf{Z}\mathbf{F}$	$n_b\times n_b$	(23)
$\mathbf{A}\equiv {\mathbf{D}^{-1}}\mathbf{F}^{\rm T}{\mathbf{C}_w^{-1}}\mathbf{Z}$	$n_b\times n_{t}$	(25)	solve baselines
$\mathbf{R}\equiv \left(\mathbf{F}^{\rm T}{\mathbf{C}_w^{-1}}\mathbf{F}\right)^{-1}\mathbf{F}^{\rm T}{\mathbf{C}_w^{-1}}$	$n_b\times n_{t}$	(37)	reference baselines

Source LaTeX | All tables | In the text

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