Superresolution algorithms in discrete detectors and its testing for the silicon drift detectors data

E.A.Kolganova, G.A.Ososkov,
Joint Institute for Nuclear Research, Dubna, 141980,
E.L.Kosarev,
P.L.Kapitza Institute for Physical Problems , Moscow, 117334.

Report to the CHEP'97 Conference, Berlin, April, 1997

Abstract:

Two approaches: parametric and nonparametric ones are proposed and investigated for the problem of particle coordinate recovering from measurements detected as histograms. Algorithms and their testing for both approaches are sketched. They can resolve coordinates of particles with resolving power better than the bin-size of a detector granulation unit and the instrumental function characteristic scale in terms of the Cramer-Rao limit for the parametric algorithms and the Shannon's limit for the nonparametric algorithms. Results obtained on simulated and real data are demonstrated.

Keywords: Superresolution; Histograms; Silicon Drift Detectors; Accuracy; Parametrization; Algorithm

• Introduction
• Non-parametric approach and Shannon's superresolution limit
• Parametric approach and Cramer-Rao accuracy limit
• Results and concluding remarks
• References