Joint ISRF and Spectral Shift Estimation for Spectrometer Calibration Using Optimal Transport
Year: 2025
Type: conference-paper
Abstract: The estimation of high-resolution spectrometer instrument spectral response functions (ISRFs) is crucial, for example in the context of remote sensing in order not to compromise the determination of trace gas concentrations. This paper introduces a new statistical model and an optimization algorithm for the joint estimation of ISRFs and spectral shifts. As a key novel ingredient, we investigate the use of optimal transport theory and the associated Wasserstein distance to estimate the spectral shifts, comparing this approach to the conventional$\ell_{2}$norm. As a second key ingredient, a sparse representation of the ISRFs is used to decompose these functions into a fixed dictionary of atoms. Results suggest that the proposed method performs well for small spectral shifts with both distances, while the Wasserstein distance proves particularly effective for estimating larger spectral shifts.
Language: English
Subfield: Analytical Chemistry
Field: Chemistry
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416167913