A Comparative Study of Amplitude and Timing Estimation in Experimental Particle Physics using Monte Carlo Simulation | Zendy

Hongda Xu | Zendy; D. Gong | Zendy; Yun Chiu | Zendy

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A Comparative Study of Amplitude and Timing Estimation in Experimental Particle Physics using Monte Carlo Simulation

Author(s) -

Hongda Xu,

D. Gong,

Yun Chiu

Publication year - 2013

Publication title -

journal of modern physics

Language(s) - English

Resource type - Journals

eISSN - 2153-120X

pISSN - 2153-1196

DOI - 10.4236/jmp.2013.45b009

Subject(s) - monte carlo method , amplitude , statistical physics , physics , computation , nonlinear system , noise (video) , signal (programming language) , pulse (music) , computational physics , algorithm , mathematics , computer science , optics , statistics , quantum mechanics , artificial intelligence , detector , image (mathematics) , programming language

Optimal detection of liquid ionization calorimeter signal in experimental particle physics is considered. A few linear and nonlinear approaches for amplitude and arrival time estimation based on the χ² function are compared in simulation considering the noise sample correlation introduced by the analog pulse shaper. The estimation bias of the first-order approximation, a.k.a linear optimal filtering, is studied and contrasted to those of the second-order as well as the exhaustive search. A gradient-descent technique is presented as an alternative to the exhaustive search with significantly reduced search time and computation complexity. Results from various pulse shapers including the CR-RC², CR-RC³, and CR²-RC² are also compared.