Open Access

Table A.1

Summary of the main mathematical notations.

Notation Description
Herschel SPIRE observations (Sect. 2)

dL Map of the Lockman Hole (LH) field
dPSF Map of the Herschel point spread function
dN Noise map of the Spider field
dS1, dS2 Two independent maps of the Spider field
dS Mean of dS1 and dS2

Validation of the dust and CIB sep. on mock data (Sect. 4)

Set of contamination maps: CIB + Spider data noise
Set of output estimates of from comp. sep.
Set of data maps obtained adding to
Input dust map built from H I observation
Set of output estimates of from comp. sep.

Comp. sep. on Herschel SPIRE Spider field (Sects. 5 and 6)

cL Contamination map: LH map + Spider data noise
cS Spider contamination map
Output estimate of cS from component separation
Output dust map from component separation
Gaussian realization of after phase rand.

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