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

Hongda Xu, Datao Gong, Yun Chiu

Departmentof Electrical Engineering, University of Texas at Dallas, Richardson, TX, USA.
Departmentof Physics, Southern Methodist University, Dallas, TX, USA.

DOI: 10.4236/jmp.2013.45B009                

Abstract

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.

Keywords

Liquid Ionization Calorimeter; Detection; Optimal Filtering; Amplitude and Timing Estimation; χ² Function; CR^m-RCⁿ pulse Shaper; Linear Optimal Filtering; Exhaustive Search; Gradient Descent; Monte Carlo

Conflicts of Interest

The authors declare no conflicts of interest.

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