Open AccessThe Parameter Estimation of Double Exponential Pulse Based on a Least Infinity Norm Fitting Method
Author(s) -
Yuewu Shi,
Wei Wang,
Zhizhen Zhu,
Xin Nie
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2083/4/042002
Subject(s) - mathematics , exponential function , double exponential function , norm (philosophy) , polynomial , mathematical analysis , law , political science
This paper presents an estimation method of double exponential pulse (DEP) between the physical parameters rise time ( t r ), full width at half maximum amplitude ( t FWHM ) and the mathematical parameters α , β . A newly fitting method based on the least infinity norm criterion is proposed to deal with the estimation problem of DEP. The calculation process and equation of parameters of this method is proposed based on an m-th-order polynomial fitting model. This estimation method is compared with the least square method by the same data and fitting function. The results show that the maximum estimation error of parameters of double exponential pulse obtained by the least infinity norm method is 1.5 %.