Bumpless monotonic bicubic interpolation for MOSFET device modelling

Bumpless monotonic bicubic interpolation for MOSFET device modelling

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IEE Proceedings I (Solid-State and Electron Devices) — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

A bumpless monotonic bicubic interpolation (MBI) technique is proposed. The method is applied to MOSFET device modelling for guessing at a very smooth interpolated curved surface. Monotonic increase in a two-dimensional surface can be held, even if the actual device characteristics show steepest change, like punchthrough characteristics. The technique can be utilised for very small number micron and/or submicron VLSI MOSFET device modelling.


    1. 1)
      • Engl, W.L., Dirks, H.: `Functional device simulation by merging numerical building blocks', Proceedings of the NASECODE II Conference, 1982, Dublin, Boole Press, p. 34–62.
    2. 2)
      • Barby, J., Vlach, J., Singhal, K.: `Polynomial splines for FET model', International symposium on circuits and systems, May 1983, Newport Beach California, p. 206–209.
    3. 3)
      • W.M. Coughran , E. Grosse , D.J. Rose . (1984) , Variation diminishing splines in simulation.
    4. 4)
      • T. Shima , H. Yamada , R. Dang . Table look-up MOSFET modelling system using a two-dimensional device simulator and monotonic piecewise cubic interpolation. IEEE Trans. , 2 , 121 - 126
    5. 5)
      • I.J. Schoenberg . (1967) , On spline functions.
    6. 6)
      • C. De Boor . Bicubic spline interpolation. J. Math. Phys. , 212 - 218
    7. 7)
      • C. de Boor . (1978) , A practical guide to splines.
    8. 8)
      • T.N.E. Greville . (1970) , Spline functions and applications.
    9. 9)
      • Rogers , R. David , Adams , J. Alan . , Mathematical elements for computer graphics.
    10. 10)
      • Y.P. Tsividis , R.W. Ulmen . A CMOS voltage reference. IEEE J. Solid-State Circuits , 6 , 774 - 778

Related content

This is a required field
Please enter a valid email address