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Fourth International Symposium on Quality Electronic Design
Reduced-Order Modeling Based on PRONY?s and SHANK?s Methods via the Bilinear Transformation
San Jose, California
March 24-March 26
ISBN: 0-7695-1881-8
Makram M. Mansour, University of Illinois at Urbana-Champaign
Amit Mehrotra, University of Illinois at Urbana-Champaign
In this paper, we propose a new model-order reduction technique for linear dynamic systems. The idea behind this technique is to transform the dynamic system function from the s-domain into the z-domain via the bilinear transformation, then use Prony?s [1, 2] or Shank?s [3] least-squares approximation methods instead of the commonly employed Pad? approximation method, and finally transform the reduced system back into the s-domain using the inverse bi-linear transformation. Simulation results for large practical systems show that this technique based on Prony?s and Shank?s methods give much higher accuracy than the traditional Pad? method, and result in lower-order approximations with negligible increase in simulation time.
Citation:
Makram M. Mansour, Amit Mehrotra, "Reduced-Order Modeling Based on PRONY?s and SHANK?s Methods via the Bilinear Transformation," isqed, pp.299, Fourth International Symposium on Quality Electronic Design, 2003
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