Two-dimensional extrapolation technique combined adaptive frequency-sampling method with the best uniform rational approximation

Gong, Shuxi; Zhang, P.-F.; Dong, Hailin

doi:10.1080/09205071.2013.852072

Cited by 2 publications

(1 citation statement)

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“…This paper deals with the data-driven method using adaptive frequency sampling (AFS) combined with a rational interpolation of the observed quantity implemented via the Stöer-Bulirsch (SB) algorithm (Stöer and Bulirsch, 1980) as a tool supporting FD IE-MoM approach in broadband EM simulations. The idea is not basically new, and the method has already been successfully applied to a variety of EM engineering problems (Ding et al, 2003;Chen et al, 2011;Gong et al, 2013;Li et al, 2013). The paper focuses on the particular AFS-SB scheme proposed in Karwowski (2009) on the basis of a combination of a simple binary search (bisection) strategy with the SB algorithm and a new convergence criterion.…”

Section: Introductionmentioning

confidence: 99%

Performance evaluation of MoM-based wide-band EM simulation with adaptive frequency sampling and Stöer-Bulirsch algorithm

Karwowski

2017

COMPEL

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Purpose The purpose of this paper is to examine the convergence, offered accuracy and efficiency of the bisectional adaptive frequency sampling (AFS) scheme combined with the Stöer-Bulirsch (SB) algorithm as a tool for supporting frequency-domain method-of-moments (MoM) in broadband electromagnetic (EM) simulations. Design/methodology/approach The AFS and SB procedures have been interfaced with the MoM code, and then, an extensive parametric study has been carried out to explore the performance of the numerical solution for the test problems of reconstructing frequency responses of the wire radiator and scatterer, respectively, over at least a decade bandwidth. Findings The results give evidence for the efficiency of the overall approach and its capability of constructing the approximation of multi-resonant responses with sharp resonant peaks from a substantially reduced number of EM samples (data points) compared to that of conventional uniform sampling. Originality/value Results of the study offer thorough insight into the performance of the AFS-SB technique, and the data given in this paper may be helpful in selecting the convergence criterion and the tolerance for the AFS-SB algorithm to achieve a possibly economical broadband simulation technique.

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Section: Introductionmentioning

confidence: 99%

Performance evaluation of MoM-based wide-band EM simulation with adaptive frequency sampling and Stöer-Bulirsch algorithm

Karwowski

2017

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The Parameter Estimation of Double Exponential Pulse Based on a Least Infinity Norm Fitting Method

Shi

Wang

Zhu

et al. 2021

J. Phys.: Conf. Ser.

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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 %.

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Two-dimensional extrapolation technique combined adaptive frequency-sampling method with the best uniform rational approximation

Cited by 2 publications

References 13 publications

Performance evaluation of MoM-based wide-band EM simulation with adaptive frequency sampling and Stöer-Bulirsch algorithm

Performance evaluation of MoM-based wide-band EM simulation with adaptive frequency sampling and Stöer-Bulirsch algorithm

The Parameter Estimation of Double Exponential Pulse Based on a Least Infinity Norm Fitting Method

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