Maximum Likelihood Estimation and non-linear least squares fitting with Levenberg-Marquardt Algorithm implementation in FPGA devices for high resolution hodoscopy

Author

Blasco, Jose M. ; Sanchis, E. ; Gonzalez, V. ; Martin, Jose D. ; Egea, Francisco J. ; Barrientos, Diego ; Granero, Domingo

Author_Institution

Dept. d´Ingenyeria Electron., Univ. de Valencia, Valencia, Spain

fYear

2012

fDate

9-15 June 2012

Firstpage

1

Lastpage

5

Abstract

This work compares two possible solutions to achieve a higher resolution in a hodoscope based on Plastic Scintillating Fibers (PSF) by obtaining the point of maximum incidence of the radioactive beam. The two fitting algorithms proposed have been tested and implemented in Field Programmable Gate Array (FPGA) devices. On one hand, a probabilistic model based on the Maximum Likelihood Estimation (MLE) and on the other hand, non-linear least-squares fit with the Levenberg-Marquardt Algorithm (LMA).

Keywords

curve fitting; field programmable gate arrays; high energy physics instrumentation computing; least squares approximations; maximum likelihood estimation; position sensitive particle detectors; solid scintillation detectors; FPGA devices; LMA; Levenberg-Marquardt algorithm; MLE; PSF; field programmable gate array devices; high resolution hodoscopy; maximum likelihood estimation; nonlinear least square fitting; plastic scintillating fibers; point of maximum incidence; probabilistic model; radioactive beam; Field programmable gate arrays; Hardware; Maximum likelihood estimation; Optimization; Performance evaluation; Signal processing algorithms; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Real Time Conference (RT), 2012 18th IEEE-NPSS

Conference_Location

Berkeley, CA

Print_ISBN

978-1-4673-1082-6

Type

conf

DOI

10.1109/RTC.2012.6418113

Filename

6418113