Abstract
In this paper we will demonstrate that most digital, analog as well as behavioral components can be described using piecewise linear approximations of their real behavior. This leads to several advantages from the viewpoint of simulation. We will also give a method to store the resulting linear segments in a compact way, in order to avoid storage problems.
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References
S. Donnay, G. Gielen, W. Sansen, W. Kruiskamp, D. Leenaerts, S. Buytaert, K. Marent, M. Buckens and C. Das, “Using top-down CAD tools for mixed analog/digital ASICs: a practical design case.” in this journal.
T. A. M. Kevenaer, PLANET: A hierarchical network simulator, Ph.D. dissertation, Eindhoven University of Technology, 1992.
T. A. M. Kevenaar and D. M. W. Leenaerts, “A flexible hi-erachical piecewise linear simulator.” Integration, the VLSI Journal 12, pp. 211–235, 1991.
C. T. Sah, “Characteristics of the metal-oxide-semiconductor transistor.” IEEE Trans, on Electr. Devices ED-11, pp. 324–345, July 1964.
E. W. Cheney, Introduction to Approximation Theory. McGraw Hill: London, 1966.
L. O. Chua and A. Deng, “Canonical piecewise linear modeling.” IEEE Trans. Circuits and Syst. CAS-33, pp. 511–525, May 1986.
T. A. M. Kevenaar and D. M. W. Leenaerts, “A comparison of piecewise linear model descriptions.” IEEE Trans. Circ. and Syst. Part I CAS-39, pp. 996–1004, Dec 1992.
W. M. G. van Bokhoven, “Piecewise linear analysis and simulation,” in Circuit Analysis, Simulation and Design. A. E. Ruehli (Ed.), Elsevier: Amsterdam, 1986, Ch. 9.
S. M. Sze, Semiconductor Devices, Physics and Technology. J. Wiley and Sons: New York, 1985.
L. O. Chua, “Canonical piecewise linear analysis: part II tracing point and transfer characteristics.” IEEE Trans on Circuits and Syst. CAS-32, pp. 417–33, May 1985.
J. Vlach and K. Singhal, Computer Methods for Circuit Analysis and Design. Van Nostrand Reinhold: New York, 1983.
C. E. Lemke, “On the complementary pivot-theory,” in Mathematics of Decision Sciences, Part I. G. B. Dantzig and A. F. Veinott Jr. (Eds.), Academic Press: New York, 1970.
J. Katzenelson, “An algorithm for solving nonlinear resistive networks.” Bell Syst. Tech. J. 44, pp. 1605–1620, Oct. 1965.
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© 1996 Kluwer Academic Publishers, Boston
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Kruiskamp, W., Leenaerts, D. (1996). Behavioral and Macro Modeling using Piecewise Linear Techniques. In: Antao, B. (eds) Modeling and Simulation of Mixed Analog-Digital Systems. The Kluwer International Series in Engineering and Computer Science, vol 364. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1405-9_5
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DOI: https://doi.org/10.1007/978-1-4613-1405-9_5
Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4613-1405-9
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