Singular value decomposition: A tool to separate elementary contributions in ISOCAM spectral maps*
Laboratoire de Chimie Physique, Université Paris Sud, Bât. 350, 91405 Orsay Cedex, France
2 Centre d'Étude Spatiale des Rayonnements, CNRS-UPS, BP 4346, 31028 Toulouse Cedex 04, France
Corresponding author: P. Boissel, firstname.lastname@example.org
Accepted: 7 May 2001
Singular value decomposition (SVD) is applied to a mid-infrared ISOCAM spectral map of NGC 7023. As a first result, this decomposition provides a mathematical analysis of the map in terms of a linear combination of elementary spectra. After further processing, it is shown that the spectrum observed on each pixel can be described as the physical superposition of four components. Three of them can be attributed to the intrinsic spectra of polycyclic aromatic hydrocarbons (PAH), very small grains and larger dust grains respectively. The fourth component is a differential spectrum that could trace the ionisation state of PAHs.
Key words: methods: data analysis / ISM: dust / ISM: molecules / infrared: ISM: lines and bands / infrared: ISM: continuum / ISM: individual objects: NGC 7023
© ESO, 2001