Wavelet-based statistics for enhanced 21cm EoR parameter constraints

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Volume 686 (June 2024)

A&A, 686 (2024) A212

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Table 2.

Description of statistics.

Label	Details	No.
		terms
$ϕ_{3 D}^{PS}$ $\phi^{\mathrm{PS}}_{\mathrm{3D}}$	Spherically-averaged	9
	3D PS

${\bar{ϕ}}_{ℓ^{2} : 1, 2, 3, 4}^{PS}$ $\bar{\phi}_{\ell^2:1,2,3,4}^{\mathrm{PS}}$	Statistic:2D PS (ecPS)	9 × 5
	Summary: ℓ²-norm
	Scales: j_z = 1, 2, 3, 4

${\bar{ϕ}}_{ℓ^{1}, ℓ^{2} : 1, 2}^{PS}$ $\bar{\phi}_{\ell^1,\ell^2:1,2}^{\mathrm{PS}}$	Statistic:2D PS (ecPS)	9 × 5
	Summary:ℓ¹-norm + ℓ²-norm
	Scales: j_z = 1, 2

${\bar{ϕ}}_{ℓ^{2} : 1, 2, 3, 4}^{WM}$ $\bar{\phi}_{\ell^2:1,2,3,4}^{\mathrm{WM}}$	Statistic:2D WM (ecWM)	(9 + 9)×5
	Summary: ℓ²-norm
	Scales: j_z = 1, 2, 3, 4
${\bar{ϕ}}_{ℓ^{1}, ℓ^{2} : 1, 2}^{WM}$ $\bar{\phi}_{\ell^1,\ell^2:1,2}^{\mathrm{WM}}$	Statistic:2D WM (ecWM)	(9 + 9)×5
	Summary:ℓ¹-norm + ℓ²-norm
	Scales: j_z = 1, 2

${\bar{ϕ}}_{ℓ^{2} : 1, 2, 3, 4}^{{WST}_{m}}$ $\bar{\phi}_{\ell^2:1,2,3,4}^{\mathrm{WST}_m}$	Statistic:2D WST_m (ecWST_m)	21 × 5
	Summary: ℓ²-norm
	Scales: j_z = 1, 2, 3, 4

${\bar{ϕ}}_{ℓ^{1}, ℓ^{2} : 1, 2}^{{WST}_{m}}$ $\bar{\phi}_{\ell^1,\ell^2:1,2}^{\mathrm{WST}_m}$	Statistic:2D WST_m (ecWST_m)	21 × 5
	Summary:ℓ¹-norm + ℓ²-norm
	Scales: j_z = 1, 2

${\bar{ϕ}}_{ℓ^{2} : 1, 2, 3, 4}^{{WST}_{w}}$ $\bar{\phi}_{\ell^2:1,2,3,4}^{\mathrm{WST}_w}$	Statistic:2D WST_w (ecWST_w)	45 × 5
	Summary: ℓ²-norm
	Scales: j_z = 1, 2, 3, 4

${\bar{ϕ}}_{ℓ^{1}, ℓ^{2} : 1, 2}^{{WST}_{w}}$ $\bar{\phi}_{\ell^1,\ell^2:1,2}^{\mathrm{WST}_w}$	Statistic:2D WST_w (ecWST_w)	45 × 5
	Summary:ℓ¹-norm + ℓ²-norm
	Scales: j_z = 1, 2

Notes. Here we describe each statistic used in this work, including the number of coefficients that the application of the statistic will produce.

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