Maximum Likelihood Estimation and Non-Linear Least Squares Fitting 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 ; Sanchis-Sanchez, Enrique

Author_Institution

Dept. de Fisioterapia, Univ. de Valencia, Valencia, Spain

Volume

60

Issue

5

fYear

2013

fDate

Oct. 2013

Firstpage

3578

Lastpage

3584

Abstract

This work compares two possible solutions to achieve a high resolution in a hodoscope based on Plastic Scintillating Fibers (PSF) by obtaining the point of maximum interaction of the radioactive beam with the detector. The two fitting algorithms are the Maximum Likelihood Estimation and a non-linear least-squares fitting with the Levenberg-Marquardt Algorithm. Both approaches have been tested, compared and implemented in Field Programmable Gate Array (FPGA) devices.

Keywords

biomedical equipment; field programmable gate arrays; least squares approximations; maximum likelihood estimation; FPGA devices; Levenberg-Marquardt algorithm; field programmable gate array devices; fitting algorithms; high resolution hodoscopy; maximum interaction point; maximum likelihood estimation; nonlinear least square fitting implementation; plastic scintillating fibers; radioactive beam; Detectors; Field programmable gate arrays; Maximum likelihood estimation; Optimization; Program processors; Signal processing algorithms; Vectors; Algorithm implementation; FPGA; beam calibration; high-resolution; hodoscopy; maximum interaction;

fLanguage

English

Journal_Title

Nuclear Science, IEEE Transactions on

Publisher

ieee

ISSN

0018-9499

Type

jour

DOI

10.1109/TNS.2013.2265174

Filename

6544681