Parameter Estimation of Double Exponential Pulses (EMP, UWB) With Least Squares and Nelder Mead Algorithm

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Michael Camp
  • Heyno Garbe
View graph of relations

Details

Original languageEnglish
Pages (from-to)675-678
Number of pages4
JournalIEEE Transactions on Electromagnetic Compatibility
Volume46
Issue number4
Publication statusPublished - 30 Nov 2004

Abstract

Transient testpulses like electromagnetic pulse and ultrawide-band are commonly described by rise time tr, pulse length t fwhm and the maximum amplitude Ê. Simulating the effects of varying pulses an analytical description of the pulses is necessary, which is given by a double exponential form with the parameters α, β and E0. This paper describes the link between the parameters tr, tfwhm and E on the one side and the analytical parameters α, β and E0 on the other side. It is shown that the Nelder Mead Simplex Algorithm in combination with the least squares method is appropriate to determine an analytical relationship between these parameters. There with extensive analysis of double exponential pulse shapes with far-ranging parameters is possible in a considerably smaller computing time.

Keywords

    Double exponential pulse shape, Electromagnetic pulse (EMP), High-power electromagnetics (HPEM), Intentional Electromagnetic Interference (IEMI), Least squares, Nelder Mead, Parameter, Ultrawide-band (UWB)

ASJC Scopus subject areas

Cite this

Parameter Estimation of Double Exponential Pulses (EMP, UWB) With Least Squares and Nelder Mead Algorithm. / Camp, Michael; Garbe, Heyno.
In: IEEE Transactions on Electromagnetic Compatibility, Vol. 46, No. 4, 30.11.2004, p. 675-678.

Research output: Contribution to journalArticleResearchpeer review

Download
@article{0e0a1e75e0ef4148858492ff07e3e682,
title = "Parameter Estimation of Double Exponential Pulses (EMP, UWB) With Least Squares and Nelder Mead Algorithm",
abstract = "Transient testpulses like electromagnetic pulse and ultrawide-band are commonly described by rise time tr, pulse length t fwhm and the maximum amplitude {\^E}. Simulating the effects of varying pulses an analytical description of the pulses is necessary, which is given by a double exponential form with the parameters α, β and E0. This paper describes the link between the parameters tr, tfwhm and E on the one side and the analytical parameters α, β and E0 on the other side. It is shown that the Nelder Mead Simplex Algorithm in combination with the least squares method is appropriate to determine an analytical relationship between these parameters. There with extensive analysis of double exponential pulse shapes with far-ranging parameters is possible in a considerably smaller computing time.",
keywords = "Double exponential pulse shape, Electromagnetic pulse (EMP), High-power electromagnetics (HPEM), Intentional Electromagnetic Interference (IEMI), Least squares, Nelder Mead, Parameter, Ultrawide-band (UWB)",
author = "Michael Camp and Heyno Garbe",
year = "2004",
month = nov,
day = "30",
doi = "10.1109/TEMC.2004.838228",
language = "English",
volume = "46",
pages = "675--678",
journal = "IEEE Transactions on Electromagnetic Compatibility",
issn = "0018-9375",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "4",

}

Download

TY - JOUR

T1 - Parameter Estimation of Double Exponential Pulses (EMP, UWB) With Least Squares and Nelder Mead Algorithm

AU - Camp, Michael

AU - Garbe, Heyno

PY - 2004/11/30

Y1 - 2004/11/30

N2 - Transient testpulses like electromagnetic pulse and ultrawide-band are commonly described by rise time tr, pulse length t fwhm and the maximum amplitude Ê. Simulating the effects of varying pulses an analytical description of the pulses is necessary, which is given by a double exponential form with the parameters α, β and E0. This paper describes the link between the parameters tr, tfwhm and E on the one side and the analytical parameters α, β and E0 on the other side. It is shown that the Nelder Mead Simplex Algorithm in combination with the least squares method is appropriate to determine an analytical relationship between these parameters. There with extensive analysis of double exponential pulse shapes with far-ranging parameters is possible in a considerably smaller computing time.

AB - Transient testpulses like electromagnetic pulse and ultrawide-band are commonly described by rise time tr, pulse length t fwhm and the maximum amplitude Ê. Simulating the effects of varying pulses an analytical description of the pulses is necessary, which is given by a double exponential form with the parameters α, β and E0. This paper describes the link between the parameters tr, tfwhm and E on the one side and the analytical parameters α, β and E0 on the other side. It is shown that the Nelder Mead Simplex Algorithm in combination with the least squares method is appropriate to determine an analytical relationship between these parameters. There with extensive analysis of double exponential pulse shapes with far-ranging parameters is possible in a considerably smaller computing time.

KW - Double exponential pulse shape

KW - Electromagnetic pulse (EMP)

KW - High-power electromagnetics (HPEM)

KW - Intentional Electromagnetic Interference (IEMI)

KW - Least squares

KW - Nelder Mead

KW - Parameter

KW - Ultrawide-band (UWB)

UR - http://www.scopus.com/inward/record.url?scp=10644221288&partnerID=8YFLogxK

U2 - 10.1109/TEMC.2004.838228

DO - 10.1109/TEMC.2004.838228

M3 - Article

AN - SCOPUS:10644221288

VL - 46

SP - 675

EP - 678

JO - IEEE Transactions on Electromagnetic Compatibility

JF - IEEE Transactions on Electromagnetic Compatibility

SN - 0018-9375

IS - 4

ER -