An efficient, CAD-oriented model for the characteristic parameters of multiconductor buses in high-speed digital GaAs ICs

  • Giovanni Ghione


The paper presents a unified, quasi-TEM closed-form exact characterization of coplanar multiconductor buses for digital GaAs ICs. The model allows for buses of arbitrary geometry (i.e., having arbitrary strip widths and spacings) and accounts for the coupling between nonneighboring conductors. The analysis is based on a dual conformal mapping technique which leads to exact closed-form expressions for the per-unit-length capacitance and inductance matrices of the line in terms of hyperelliptic integrals, whose numerical evaluation can be efficiently performed through Gauss-Chebyshev quadrature formulae. Results are presented to demonstrate the accuracy and efficiency of the approach.


GaAs Numerical Evaluation Conformal Mapping Characteristic Parameter Mapping Technique 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S.I. Long and S.E. Butler,Gallium Arsenide Digital Integrated Circuit Design, McGraw-Hill: New York, 1990.Google Scholar
  2. 2.
    C.P. Wen, “Coplanar Waveguide: A Surface Strip Transmission Line Suitable for Nonreciprocal Gyromagnetic Device Applications,”IEEE Trans. Microwave Theory Tech., Vol. MTT-17, No. 12, pp. 1087–1090, 1969.Google Scholar
  3. 3.
    R. Hoffmann,Integrierte Mikrowellenschaltungen, Springer-Verlag: Berlin, 1983.Google Scholar
  4. 4.
    G. Ghione, I. Maio, and G. Vecchi, “Modelling of Multiconductor Buses and Analysis of Crosstalk, Propagation Delay and Pulse Distorsion in High-Speed GaAs Logical Circuits,”IEEE Trans. Microwave Theory Tech., Vol. MTT-37, No. 3, pp. 445–456, 1989.Google Scholar
  5. 5.
    G. Ghione, “A Unified Quasi-TEM Analysis of Multiconductor Coplanar Couplers for MMIC Applications,” in preparation.Google Scholar
  6. 6.
    G. Ghione and C. Naldi, “Exact CAD-Oriented Analysis of Complementary Multi-slot and Multi-strip Coplanar Multiconductor Lines for Digital and Analog MIC Applications,”Proc. Int. Microwave Symp., Sao Paulo, 1989.Google Scholar
  7. 7.
    D. Homentcovschi, A. Manolescu, A.M. Manolescu, and L. Kreindler, “An Analytical Sollution for the Coupled Stripline-like Microstrip Line Problem,”IEEE Trans. Microwave Theory Tech., Vol. MTT-36, No. 6, pp. 1002–1007, 1988.Google Scholar
  8. 8.
    L.J.P. Linner, “A Method for the Computation of the Characteristic Immittance Matrix of Multiconductor Striplines with Arbitrary Widths,”IEEE Trans. Microwave Theory Tech., Vol. MTT-22, No. 11, pp. 903–937, 1974.Google Scholar
  9. 9.
    G. Ghione and C. Naldi, “Coplanar Waveguides for MMIC Applications: Effect of Upper Shielding, Conductor Backing, Finite-Extent Group Plans, and Line-to-Line Coupling,”IEEE Trans. Microwave Theory Tech., Vol. MTT-35, No. 3, pp. 260–267, 1987.Google Scholar
  10. 10.
    G. Ghione and C. Naldi, “Coplanar Couplers for Hybrid and Monolithic MIC Applications,”Proc. MIOP 88, Paper 7B.2, 1988.Google Scholar
  11. 11.
    J. Siegl, V. Tulaja, and R. Hoffmann, “General Analysis of Interdigitated Microstrip Couplers,”Siemens Forsch. Entwickl.-Ber., Vol. 10, No. 4, pp. 228–236, 1981.Google Scholar
  12. 12.
    R. Crampagne, M. Ahmadpanah, and J.L. Guiraud, “A Simple Method for Determining the Green's Function for a Large Class of MIC Lines Having Multilayered Dielectric Structures,”IEEE Trans. Microwave Theory Tech., Vol. MTT-26, pp. 82–87, 1978.Google Scholar
  13. 13.
    H. Exton,Handbook of Hypergeometric Integrals, Ellis Horwood: Chichester, 1983.Google Scholar
  14. 14.
    E. Costamagna, “On the Numerical Inversion of the Schwartz-Christoffel Conformal Transformation,”IEEE Trans. Microwave Theory Tech., Vol. MTT-35, NO. 1, pp. 35–40, 1987.Google Scholar
  15. 15.
    D. Homentcovschi,Complex Variable Functions and Applications in Science and Technique, Ed. Tehnică, Bucharest, 1986. (in Romanian)Google Scholar
  16. 16.
    R. Piessens, E. deDoncher-Kapenga, C.W. Uberhuber, and D.K. Kahaner,QUADPACK-A Subroutine Package for Automatic Integration, Springer-Verlag: Berlin, 1983.Google Scholar
  17. 17.
    C.P. Wen, “Coplanar-Waveguide Directional Couplers,”IEEE Trans. Microwave Theory Tech., Vol. MTT-18, No. 6, pp. 318–322, 1970.Google Scholar

Copyright information

© Kluwer Academic Publishers, Boston. Manufactured in The Netherlands 1994

Authors and Affiliations

  • Giovanni Ghione
    • 1
  1. 1.Departimento di ElettronicaPolitecnico di TorinoTorinoItaly

Personalised recommendations