Scalable models of microwave system responses using sequential sampling on unstructured grids

SUMMARY This paper presents two sequential sampling algorithms for the macromodeling of parameterized system responses in model-dependent sampling frameworks. The construction of efficient algorithms for the automatic selection of samples for building scalable macromodels of frequency-domain responses is addressed in this paper. The sequential sampling algorithms proposed here are tailored toward the application of local scalable macromodeling schemes on unstructured design space grids. Two pertinent examples are considered. For the first one, different algorithms are applied, and a comparison is made in terms of the number of samples generated, accuracy and CPU time. As a second example, four design variables are taken into account with one of the proposed algorithms, and the generated model is used in a frequency-domain optimization. Copyright © 2013 John Wiley & Sons, Ltd.

[1]  P. Meyer,et al.  Creating accurate multivariate rational interpolation models of microwave circuits by using efficient adaptive sampling to minimize the number of computational electromagnetic analyses , 2001 .

[2]  LI X.RONG,et al.  Evaluation of estimation algorithms part I: incomprehensive measures of performance , 2006, IEEE Transactions on Aerospace and Electronic Systems.

[3]  R. Mansour,et al.  Modelling of electromagnetic responses using a robust multi-dimensional Cauchy interpolation technique , 2010 .

[4]  Tom Dhaene,et al.  Parametric macromodeling based on amplitude and frequency scaled systems with guaranteed passivity , 2012 .

[5]  S. Grivet-Talocia,et al.  A Parameterized Macromodeling Strategy With Uniform Stability Test , 2009, IEEE Transactions on Advanced Packaging.

[6]  B. Gustavsen,et al.  Improving the pole relocating properties of vector fitting , 2006, 2006 IEEE Power Engineering Society General Meeting.

[7]  Margaret J. Robertson,et al.  Design and Analysis of Experiments , 2006, Handbook of statistics.

[8]  T. Dhaene,et al.  This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination. IEEE TRANSACTIONS ON ADVANCED PACKAGING 1 Guaranteed Passive Parameterized , 2022 .

[9]  T. Dhaene,et al.  Passivity-Preserving Parametric Macromodeling for Highly Dynamic Tabulated Data Based on Lur'e Equations , 2010, IEEE Transactions on Microwave Theory and Techniques.

[10]  T. Dhaene,et al.  Robust Parametric Macromodeling Using Multivariate Orthonormal Vector Fitting , 2008, IEEE Transactions on Microwave Theory and Techniques.

[11]  Tom Dhaene,et al.  Efficient space-filling and non-collapsing sequential design strategies for simulation-based modeling , 2011, Eur. J. Oper. Res..

[12]  D Deschrijver,et al.  Adaptive Sampling Algorithm for Macromodeling of Parameterized $S$ -Parameter Responses , 2011, IEEE Transactions on Microwave Theory and Techniques.

[13]  S. E. Zarantonello,et al.  A note on piecewise linear and multilinear table interpolation in many dimensions , 1988 .

[14]  B. Gustavsen,et al.  Fast Passivity Enforcement for S-Parameter Models by Perturbation of Residue Matrix Eigenvalues , 2010, IEEE Transactions on Advanced Packaging.

[15]  David M. Lewis.  Device model approximation using 2N trees , 1990, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[16]  Vijay Devabhaktuni,et al.  Advanced microwave modeling framework exploiting automatic model generation, knowledge neural networks and space mapping , 2002, IMS 2002.

[17]  A. Semlyen,et al.  Fast Passivity Assessment for $S$-Parameter Rational Models Via a Half-Size Test Matrix , 2008, IEEE Transactions on Microwave Theory and Techniques.

[18]  A. Semlyen,et al.  Rational approximation of frequency domain responses by vector fitting , 1999 .

[19]  Raafat R. Mansour,et al.  Multi-dimensional Cauchy method and adaptive sampling for an accurate microwave circuit modelling , 1998, IMS 1998.

[20]  L. Balewski,et al.  Adaptive CAD-Model Construction Schemes , 2009, IEEE Transactions on Magnetics.

[21]  Alfred Inselberg.  ♣ FT-1 The Plane with Parallel Coordinates , 2009 .

[22]  T. Dhaene,et al.  Parameterized S-Parameter Based Macromodeling With Guaranteed Passivity , 2009, IEEE Microwave and Wireless Components Letters.

[23]  T. Dhaene,et al.  Macromodeling of Multiport Systems Using a Fast Implementation of the Vector Fitting Method , 2008, IEEE Microwave and Wireless Components Letters.

[24]  P. Triverio,et al.  Passive parametric macromodeling from sampled frequency data , 2010, 2010 IEEE 14th Workshop on Signal Propagation on Interconnects.

[25]  Dirk Gorissen,et al.  A Novel Hybrid Sequential Design Strategy for Global Surrogate Modeling of Computer Experiments , 2011, SIAM J. Sci. Comput..

[26]  R. Rohrer,et al.  Passivity considerations in stability studies of numerical integration algorithms , 1981 .

[27]  P. Kozakowski,et al.  Efficient implementation of the Cauchy method for automated CAD-model construction , 2003, IEEE Microwave and Wireless Components Letters.

[28]  Vinod Gupta,et al.  Fast, accurate MOS table model for circuit simulation using an unstructured grid and preserving monotonicity , 2005, ASP-DAC.

[29]  R.B. Lenin,et al.  Adaptive multivariate rational data fitting with applications in electromagnetics , 2006, IEEE Transactions on Microwave Theory and Techniques.