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A Comparative Study of Amplitude and Timing Estimation in Experimental Particle Physics using Monte Carlo Simulation
Departmentof Electrical Engineering, University of Texas at Dallas, Richardson, TX, USA
Departmentof Physics, Southern Methodist University, Dallas, TX, USA
Departmentof Electrical Engineering, University of Texas at Dallas, Richardson, TX, USA
- 1 Departmentof Electrical Engineering, University of Texas at Dallas, Richardson, TX, USA
- 2 Departmentof Physics, Southern Methodist University, Dallas, TX, USA
- 3 Departmentof Electrical Engineering, University of Texas at Dallas, Richardson, TX, USA
Journal of Modern Physics·Volume 04 (2013)·Pages 42–47·Published 30 May 2013·DOI10.4236/jmp.2013.45B009
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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 χ 2 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-RC 2 , CR-RC 3 , and CR 2 -RC 2 are also compared.
KeywordsLiquid Ionization CalorimeterDetectionOptimal FilteringAmplitude and Timing Estimationχ<sup>2</sup>FunctionCR<sup>m</sup>-RC<sup>n</sup>pulse ShaperLinear Optimal Filtering
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