Salerno E., Bedini L. Spectrum extraction from slitless spectrographic images. Nota riservata per la missione cosmologica Euclid dell'Agenzia Spaziale Europea. Internal note, 2014. |

Abstract (English) |
Motivated by the data analysis needs emerging from the ESA's cosmological mission Euclid, a linear noiseless model is introduced for a grism-generated slitless spectrographic image. A first-attempt strategy to spectrum deconvolution and decontamination is then suggested, neglecting the typical errors affecting this type of data, while trying to control the severe ill-posedness of the original problem. Three standard approaches are applied on a toy photometry, in order to have an idea on the solutions to be expected: the Moore-Penrose pseudoinversion, the standard Tikhonov regularization, and the preconditioned-projected Landweber iterative method. | |

Subject | Slitless spectrometry Astrophysical signal processing Spectrum decontamination and deconvolution Regularization G.1.3 - Numerical linear algebra G.1.6 - Optimization I.4.4 - Restoration J.2 - Physical sciences and engineering |

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