Adaptive sampling applied to multivariate, multiple output rational interpolation models with application to microwave circuits

  1. Robert Lehmensiek1,2,
  2. Petrie Meyer2,*,
  3. Martinette Müller2

Article first published online: 19 JUN 2002

DOI: 10.1002/mmce.10032

Issue

International Journal of RF and Microwave Computer‐Aided Engineering

International Journal of RF and Microwave Computer-Aided Engineering

Volume 12, Issue 4, pages 332–340, July 2002

Additional Information

How to Cite

Lehmensiek, R., Meyer, P. and Müller, M. (2002), Adaptive sampling applied to multivariate, multiple output rational interpolation models with application to microwave circuits. International Journal of RF and Microwave Computer-Aided Engineering, 12: 332–340. doi: 10.1002/mmce.10032

Author Information

  1. 1

    Reutech Radar Systems, Stellenbosch, South Africa

  2. 2

    Department of Electronic Engineering, University of Stellenbosch, Stellenbosch 7600, South Africa

*Department of Electronic Engineering, University of Stellenbosch, Stellenbosch 7600, South Africa

Publication History

  1. Issue published online: 19 JUN 2002
  2. Article first published online: 19 JUN 2002
  3. Manuscript Accepted: 20 NOV 2001
  4. Manuscript Received: 8 AUG 2001

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Keywords:

  • multivariate adaptive sampling;
  • multivariate rational interpolation;
  • model-based parameter estimation;
  • surrogate modeling;
  • computer-aided design

Abstract

A fast and efficient adaptive sampling algorithm for multivariate, multiple output rational interpolation models is presented, which is based on convergents of Thiele type branched continued fractions. The multiple output interpolation model consists of a set of rational interpolants, and each interpolant models one of the output parameters. A single global error function is defined that incorporates all the output parameters, and it is used for the selection of the same set of support points for all the interpolants. The technique is evaluated on several passive microwave structures and compared to previously published results. © 2002 Wiley Periodicals, Inc. Int J RF and Microwave CAE 12: 332–340, 2002. Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mmce10032

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