Modeling Delay and Noise in Arbitrarily-Coupled RC Trees

Dinesh Pamunuwa, Shauki Elassaad, Hannu Tenhunen

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)


Closed-form equations for second-order transfer functions of general arbitrarily coupled resistance-capacitance (RC) trees with multiple drivers are reported. The models allow precise delay and noise calculations for systems of coupled interconnects with guaranteed stability and represent the minimum complexity associated with this class of circuits. Their accuracy is extensively compared against other relevant models and is found to be better or comparable to more expensive models. All results are derived from a theoretical approach, and their physical basis is examined. The simplicity, accuracy, and generality of the models make them suitable for use in early signal integrity analyses of complex systems and incremental physical optimization.
Original languageEnglish
Pages (from-to)1725-1739
Number of pages15
JournalIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Issue number11
Publication statusPublished - 1 Nov 2005

Structured keywords

  • Photonics and Quantum


  • RC circuits
  • coupled circuits
  • integrated circuit interconnections
  • integrated circuit modelling
  • transfer functions
  • trees (mathematics)
  • arbitrarily coupled RC trees
  • arbitrarily coupled resistance-capacitance trees
  • circuit complexity
  • circuit stability
  • closed-form equations
  • coupled interconnects
  • delay modeling
  • interconnect modeling
  • noise modeling
  • second-order transfer functions
  • timing analysis
  • Circuit noise
  • Computational complexity
  • Coupling circuits
  • Crosstalk
  • Delay effects
  • Integrated circuit interconnections
  • Laboratories
  • Noise level
  • Transfer functions
  • Very large scale integration
  • delay and noise modeling in VLSI circuits
  • transfer function


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