Modelorder reduction in electromagnetics using modelbased parameter estimation

Edmund K. Miller, Tapan Kumar Sarkar

Research output: Chapter in Book/Report/Conference proceedingChapter

12 Citations (Scopus)

Abstract

This chapter outlines and demonstrates the use of model-based parameter estimation (MBPE) in electromagnetics. MBPE can be used to circumvent the requirement of obtaining all samples of desired quantities (e.g., impedance, gain, RCS) from a first-principles model (FPM) or from measured data (MD) by instead using a reduced-order, physically based approximation of the sampled data called a fitting model (FM). One application of a FM is interpolating between (pole-series FMs), and/or extrapolating from (exponential-series FMs), samples of FPM or MD observables to reduce the amount of data that is needed. A second is to use a FM in FPM computations by replacing needed mathematical expressions with simpler analytical approximations to reduce the computational cost of the FPM itself. As an added benefit, the FMs can be more suitable for design and optimization purposes than the usual numerical data that comes from a FPM or MD because the FMs can normally be handled analytically rather than via operations on the numerical samples. Attention here is focused on the use of FMs that are described by exponential and pole series, and how data obtained from various kinds of sampling procedures can be used to quantify such models, i.e., to determine numerical values for their coefficients.

Original languageEnglish (US)
Title of host publicationFrontiers in Electromagnetics
PublisherJohn Wiley and Sons Inc.
Pages371-436
Number of pages66
ISBN (Electronic)9780470544686
ISBN (Print)0780347013, 9780780347014
DOIs
StatePublished - Jan 1 1999

Fingerprint

Parameter estimation
electromagnetism
frequency modulation
Poles
poles
approximation
sampling
impedance
Sampling
costs
requirements
optimization
coefficients

Keywords

  • Data models
  • Frequency modulation
  • Mathematical model
  • Numerical models
  • Resonant frequency
  • Spectral analysis
  • Time frequency analysis

ASJC Scopus subject areas

  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

Miller, E. K., & Sarkar, T. K. (1999). Modelorder reduction in electromagnetics using modelbased parameter estimation. In Frontiers in Electromagnetics (pp. 371-436). John Wiley and Sons Inc.. https://doi.org/10.1109/9780470544686.ch9

Modelorder reduction in electromagnetics using modelbased parameter estimation. / Miller, Edmund K.; Sarkar, Tapan Kumar.

Frontiers in Electromagnetics. John Wiley and Sons Inc., 1999. p. 371-436.

Research output: Chapter in Book/Report/Conference proceedingChapter

Miller, EK & Sarkar, TK 1999, Modelorder reduction in electromagnetics using modelbased parameter estimation. in Frontiers in Electromagnetics. John Wiley and Sons Inc., pp. 371-436. https://doi.org/10.1109/9780470544686.ch9
Miller EK, Sarkar TK. Modelorder reduction in electromagnetics using modelbased parameter estimation. In Frontiers in Electromagnetics. John Wiley and Sons Inc. 1999. p. 371-436 https://doi.org/10.1109/9780470544686.ch9
Miller, Edmund K. ; Sarkar, Tapan Kumar. / Modelorder reduction in electromagnetics using modelbased parameter estimation. Frontiers in Electromagnetics. John Wiley and Sons Inc., 1999. pp. 371-436
@inbook{12de3240aabf4f51aaeedf09a2ecd93c,
title = "Modelorder reduction in electromagnetics using modelbased parameter estimation",
abstract = "This chapter outlines and demonstrates the use of model-based parameter estimation (MBPE) in electromagnetics. MBPE can be used to circumvent the requirement of obtaining all samples of desired quantities (e.g., impedance, gain, RCS) from a first-principles model (FPM) or from measured data (MD) by instead using a reduced-order, physically based approximation of the sampled data called a fitting model (FM). One application of a FM is interpolating between (pole-series FMs), and/or extrapolating from (exponential-series FMs), samples of FPM or MD observables to reduce the amount of data that is needed. A second is to use a FM in FPM computations by replacing needed mathematical expressions with simpler analytical approximations to reduce the computational cost of the FPM itself. As an added benefit, the FMs can be more suitable for design and optimization purposes than the usual numerical data that comes from a FPM or MD because the FMs can normally be handled analytically rather than via operations on the numerical samples. Attention here is focused on the use of FMs that are described by exponential and pole series, and how data obtained from various kinds of sampling procedures can be used to quantify such models, i.e., to determine numerical values for their coefficients.",
keywords = "Data models, Frequency modulation, Mathematical model, Numerical models, Resonant frequency, Spectral analysis, Time frequency analysis",
author = "Miller, {Edmund K.} and Sarkar, {Tapan Kumar}",
year = "1999",
month = "1",
day = "1",
doi = "10.1109/9780470544686.ch9",
language = "English (US)",
isbn = "0780347013",
pages = "371--436",
booktitle = "Frontiers in Electromagnetics",
publisher = "John Wiley and Sons Inc.",
address = "United States",

}

TY - CHAP

T1 - Modelorder reduction in electromagnetics using modelbased parameter estimation

AU - Miller, Edmund K.

AU - Sarkar, Tapan Kumar

PY - 1999/1/1

Y1 - 1999/1/1

N2 - This chapter outlines and demonstrates the use of model-based parameter estimation (MBPE) in electromagnetics. MBPE can be used to circumvent the requirement of obtaining all samples of desired quantities (e.g., impedance, gain, RCS) from a first-principles model (FPM) or from measured data (MD) by instead using a reduced-order, physically based approximation of the sampled data called a fitting model (FM). One application of a FM is interpolating between (pole-series FMs), and/or extrapolating from (exponential-series FMs), samples of FPM or MD observables to reduce the amount of data that is needed. A second is to use a FM in FPM computations by replacing needed mathematical expressions with simpler analytical approximations to reduce the computational cost of the FPM itself. As an added benefit, the FMs can be more suitable for design and optimization purposes than the usual numerical data that comes from a FPM or MD because the FMs can normally be handled analytically rather than via operations on the numerical samples. Attention here is focused on the use of FMs that are described by exponential and pole series, and how data obtained from various kinds of sampling procedures can be used to quantify such models, i.e., to determine numerical values for their coefficients.

AB - This chapter outlines and demonstrates the use of model-based parameter estimation (MBPE) in electromagnetics. MBPE can be used to circumvent the requirement of obtaining all samples of desired quantities (e.g., impedance, gain, RCS) from a first-principles model (FPM) or from measured data (MD) by instead using a reduced-order, physically based approximation of the sampled data called a fitting model (FM). One application of a FM is interpolating between (pole-series FMs), and/or extrapolating from (exponential-series FMs), samples of FPM or MD observables to reduce the amount of data that is needed. A second is to use a FM in FPM computations by replacing needed mathematical expressions with simpler analytical approximations to reduce the computational cost of the FPM itself. As an added benefit, the FMs can be more suitable for design and optimization purposes than the usual numerical data that comes from a FPM or MD because the FMs can normally be handled analytically rather than via operations on the numerical samples. Attention here is focused on the use of FMs that are described by exponential and pole series, and how data obtained from various kinds of sampling procedures can be used to quantify such models, i.e., to determine numerical values for their coefficients.

KW - Data models

KW - Frequency modulation

KW - Mathematical model

KW - Numerical models

KW - Resonant frequency

KW - Spectral analysis

KW - Time frequency analysis

UR - http://www.scopus.com/inward/record.url?scp=84963743262&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84963743262&partnerID=8YFLogxK

U2 - 10.1109/9780470544686.ch9

DO - 10.1109/9780470544686.ch9

M3 - Chapter

SN - 0780347013

SN - 9780780347014

SP - 371

EP - 436

BT - Frontiers in Electromagnetics

PB - John Wiley and Sons Inc.

ER -