Lovelace's Square - Blind instrument response function identification (Tikhonov regularization)
MIT | 1.0 | 2025-03-06
Blind instrument response function identification (Tikhonov regularization)
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This algorithm transforms decay data into a well-posed least-squares problem using a Hankel matrix. Tikhonov regularization mitigates noise and stabilizes the inversion, enabling robust extraction of the IRF directly from the data. No external measurement is needed, as the IRF is obtained solely from the collected signal.
Adrián Gómez-Sánchez [1,2]Olivier Devos [2]Raffaele Vitale[2]Michel Sliwa[2]Damir Sakhapov[3]Jörg Enderlein [3]Anna de Juan [1]Cyril Ruckebusch [2]
[1]Chemometrics Group, Universitat de Barcelona, Barcelona, Spain[2]Université Lille, CNRS, UMR 8516, Laboratoire Avancé de Spectroscopie pourles Intéractions la Réactivité et l’Environnement (LASIRE), Lille, France[3]III. Institute of Physics – Biophysics, Georg-August Universität, Göttingen, Germany