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Catt, "Crosstalk (noise) in digital systems", IEEE Transactions on Electronic Computers, Vol. 16, No. 743-763, 1967. [2] P. Larsson and C. Svensson, "Noise in digital dynamic CMOS circuits", IEEE Journal of Solid-State Circuits, June 1994, pp. 655-662. I. E. Butner, Gallium Arsenide Digital IC Design, McGraw-Hill, 1990, Ch. 5. R. J. Rymaszewski, Microelectronics Packaging Handbook, Van Nostrand Reinhold, 1989. [5] L. Gal, "On-chip crosstalk - the new signal integrity challenge", Proceedings of the Custom Integrated Circuits Conference, 1995, pp.

S. Tasy, "Exact zero skew," IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, Feb. 1993. [7] Q. Zhu, W. M. Dai, and J. G. Xi, "Optimal sizing of high-speed clock networks based on distributed RC and lossy transmission line models," Proc. IEEE Intl. Conf. on Computer-Aided Design, pp. 628-633, 1993. P. A. Schevon, "Shaping a distributedRC line to minimize Elmore delay", IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, Vol. 42, No. 12, pp. 1020-1022, December 1995.

By rearranging the terms in Equation (1) and differentiating it with respect to x twice, we get the following theorem. Separating the variables and integrating both sides, we get Clr where C2 is a constant. It follows that Theorem 2 Let f(x) be an optimal wire-sizing function. We have fU(X)f(_) = (3) fi(X)2 Proof: We first multiply Equation (1) by the denominator of its right hand side and then differentiating both side with respect to x. We get 2f(x)f'(r)(Rd + fr 1dt) T y = eCIC2 = ae where a > 0 and b > 0.

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