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Thus the Elmore delay through W can be approximated by Dn= Rd (CL +±Zco n f jxi) A x) + i=, f(ZcfxiA Cof0 (X,)AX + C) ,o E L)( CL). The first term is the delay of the driver, which is given by the driver resistance Rd multiplied by the total capacitance of W and CL. The second term is the sum of the delay in each wire segment i, which is given by its own resistance ro Ax/f(xi) multiplied by its downstream capacitance E>i cof(xj)Ax+ CL. ) As n - co, D,, - D where D = Rd(CL + Jo j cof (x)dx) + (j cof(t) dt+ CL) dx *This work was partially supported by the Texas Advanced is the Elmore delay through the driver and W.

Kuh, "Performance driven spacing algorithms using attractive and repulsive constraints for submicron LSIs", IEEE Transactions on CAD of ICs and Systems, Vol. 14, No. 6, 1995, pp. 707-719. H. S. Kuh, "Glitter: a gridless variable width channel router", IEEE Transactions on Computer-Aided Design of ICs and Systems, Vol. 5, No. 4, 1986, pp. 459-465. [15] U. Choudhury and A. Sangiovanni-Vincentelli, "Constraintbased channel routing for analog and mixed analog/digital circuits", IEEE Transactions on Computer-Aided Design of ICs and Systems, Vol.

However, this is sub-optimal as finer grain permutations - track segment permutation rather than track permutation may lead to better results. Section III will show an example for which no track permutations are possible, while track segment permutations lead to optimal results. In [10], track segment permutations in a switchbox are considered. In Section III, we show that even this method is sub-optimal because the initial route is not driven by coupled noise considerations. Besides, drive strengths are not considered and Section II will show that the coupled noise model is simplistic.

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