Reduced Order Modeling for RLC Interconnect Tree Using Hurwitz Polynomial

  • Authors:
  • Xiao-Dong Yang;Chung-Kuan Cheng;Walter H. Ku;Robert Carragher

  • Affiliations:
  • Processor Product Group, Sun Microsystems Inc., Palo Alto, CA;Department of Computer Science and Engineering, University of California, San Diego, CA;Department of Electrical and Computer Engineering, University of California, San Diego, CA;Fujitsu Laboratories of America, Sunnyvale, CA

  • Venue:
  • Analog Integrated Circuits and Signal Processing
  • Year:
  • 2002

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Abstract

We investigate on-chip RLC interconnect reduced order modeling problem. A provably realizable and stable model order reduction approach is proposed. To guarantee stability of reduced order circuits, we first employ a realizable reduction for load approximation to preserve the first three driving-point admittance coefficients. Then, we use Hurwitz polynomials to approximate the denominators of original rational transfer functions. We prove that stability can be guaranteed during a hierarchical analysis while circuit response moments can still be matched implicitly. We also give some experimental results to show the accuracy and efficiency of the proposed approach.