Combining rational interpolation with the vector fitting method

Y. S. Mekonnen; José Schutt-Ainé; Jilin Tan; C. Kumar; Dragoslav Milosevic

doi:10.1109/EPEP.2005.1563698

Combining rational interpolation with the vector fitting method

Y. S. Mekonnen, José Schutt-Ainé, Jilin Tan, C. Kumar, Dragoslav Milosevic

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, a method is proposed to improve the initial poles and convergence of the vector fitting method. The procedure takes advantage of the robustness of the rational interpolation method in extracting stable poles over partitioned bandwidth and the numerical stability and fast convergence of the vector fitting method in generating accurate high-order rational approximation. First, the stable poles of the entire frequency range are obtained by partitioning the domain and performing rational interpolation in each bandwidth. Then, the collected poles are used as initial poles to the vector-fitting algorithm to obtain the overall high-order rational approximation. The accuracy and convergence of the standard vector fitting and proposed methods are compared. Examples are provided to demonstrate the advantage of the proposed approach.

Original language	English (US)
Title of host publication	14th Topical Meeting on Electrical Performance of Electronic Packaging 2005
Pages	51-54
Number of pages	4
DOIs	https://doi.org/10.1109/EPEP.2005.1563698
State	Published - 2005
Event	14th Topical Meeting on Electrical Performance of Electronic Packaging 2005 - Austin, TX, United States Duration: Oct 24 2005 → Oct 26 2005

Publication series

Name	IEEE Topical Meeting on Electrical Performance of Electronic Packaging
Volume	2005

Other

Other	14th Topical Meeting on Electrical Performance of Electronic Packaging 2005
Country/Territory	United States
City	Austin, TX
Period	10/24/05 → 10/26/05

ASJC Scopus subject areas

Engineering(all)

Online availability

10.1109/EPEP.2005.1563698

Library availability

Discover UIUC Full Text

Cite this

Mekonnen, Y. S., Schutt-Ainé, J., Tan, J., Kumar, C., & Milosevic, D. (2005). Combining rational interpolation with the vector fitting method. In 14th Topical Meeting on Electrical Performance of Electronic Packaging 2005 (pp. 51-54). [1563698] (IEEE Topical Meeting on Electrical Performance of Electronic Packaging; Vol. 2005). https://doi.org/10.1109/EPEP.2005.1563698

Combining rational interpolation with the vector fitting method. / Mekonnen, Y. S.; Schutt-Ainé, José; Tan, Jilin et al.

14th Topical Meeting on Electrical Performance of Electronic Packaging 2005. 2005. p. 51-54 1563698 (IEEE Topical Meeting on Electrical Performance of Electronic Packaging; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Mekonnen, YS, Schutt-Ainé, J, Tan, J, Kumar, C & Milosevic, D 2005, Combining rational interpolation with the vector fitting method. in 14th Topical Meeting on Electrical Performance of Electronic Packaging 2005., 1563698, IEEE Topical Meeting on Electrical Performance of Electronic Packaging, vol. 2005, pp. 51-54, 14th Topical Meeting on Electrical Performance of Electronic Packaging 2005, Austin, TX, United States, 10/24/05. https://doi.org/10.1109/EPEP.2005.1563698

@inproceedings{6f40f76c332944de8f0827c9c2488492,

title = "Combining rational interpolation with the vector fitting method",

abstract = "In this paper, a method is proposed to improve the initial poles and convergence of the vector fitting method. The procedure takes advantage of the robustness of the rational interpolation method in extracting stable poles over partitioned bandwidth and the numerical stability and fast convergence of the vector fitting method in generating accurate high-order rational approximation. First, the stable poles of the entire frequency range are obtained by partitioning the domain and performing rational interpolation in each bandwidth. Then, the collected poles are used as initial poles to the vector-fitting algorithm to obtain the overall high-order rational approximation. The accuracy and convergence of the standard vector fitting and proposed methods are compared. Examples are provided to demonstrate the advantage of the proposed approach.",

author = "Mekonnen, {Y. S.} and Jos{\'e} Schutt-Ain{\'e} and Jilin Tan and C. Kumar and Dragoslav Milosevic",

year = "2005",

doi = "10.1109/EPEP.2005.1563698",

language = "English (US)",

isbn = "0780392205",

series = "IEEE Topical Meeting on Electrical Performance of Electronic Packaging",

pages = "51--54",

booktitle = "14th Topical Meeting on Electrical Performance of Electronic Packaging 2005",

note = "14th Topical Meeting on Electrical Performance of Electronic Packaging 2005 ; Conference date: 24-10-2005 Through 26-10-2005",

}

TY - GEN

T1 - Combining rational interpolation with the vector fitting method

AU - Mekonnen, Y. S.

AU - Schutt-Ainé, José

AU - Tan, Jilin

AU - Kumar, C.

AU - Milosevic, Dragoslav

PY - 2005

Y1 - 2005

N2 - In this paper, a method is proposed to improve the initial poles and convergence of the vector fitting method. The procedure takes advantage of the robustness of the rational interpolation method in extracting stable poles over partitioned bandwidth and the numerical stability and fast convergence of the vector fitting method in generating accurate high-order rational approximation. First, the stable poles of the entire frequency range are obtained by partitioning the domain and performing rational interpolation in each bandwidth. Then, the collected poles are used as initial poles to the vector-fitting algorithm to obtain the overall high-order rational approximation. The accuracy and convergence of the standard vector fitting and proposed methods are compared. Examples are provided to demonstrate the advantage of the proposed approach.

AB - In this paper, a method is proposed to improve the initial poles and convergence of the vector fitting method. The procedure takes advantage of the robustness of the rational interpolation method in extracting stable poles over partitioned bandwidth and the numerical stability and fast convergence of the vector fitting method in generating accurate high-order rational approximation. First, the stable poles of the entire frequency range are obtained by partitioning the domain and performing rational interpolation in each bandwidth. Then, the collected poles are used as initial poles to the vector-fitting algorithm to obtain the overall high-order rational approximation. The accuracy and convergence of the standard vector fitting and proposed methods are compared. Examples are provided to demonstrate the advantage of the proposed approach.

UR - http://www.scopus.com/inward/record.url?scp=33845890269&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33845890269&partnerID=8YFLogxK

U2 - 10.1109/EPEP.2005.1563698

DO - 10.1109/EPEP.2005.1563698

M3 - Conference contribution

AN - SCOPUS:33845890269

SN - 0780392205

SN - 9780780392205

T3 - IEEE Topical Meeting on Electrical Performance of Electronic Packaging

SP - 51

EP - 54

BT - 14th Topical Meeting on Electrical Performance of Electronic Packaging 2005

T2 - 14th Topical Meeting on Electrical Performance of Electronic Packaging 2005

Y2 - 24 October 2005 through 26 October 2005

ER -

Combining rational interpolation with the vector fitting method

Abstract

Publication series

Other

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this