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Post-layout optimization for crosstalk such as the work in [9] and [13] could be used to further improve our results. Note that jog insertion is not attempted by these techniques. Our algorithm addresses this issue and therefore complements these methods well. Besides, our models (after suitable linearization) should improve the results [9] and [13] obtain. In conclusion, we have presented new results for coupled noise computation in VLSI circuits. We have used these to show several novel design implications and have presented innovative routing techniques for coupled noise reduction.

We now define six wire-sizing functions fBC, fABC ae-b L be an optimal constrained wire-sizing function. We have, f is decreasing on [0,C]. According to Theorem 4, the optimal wire-sizing function f, similar to the one shown in Figure 5, consists of (at most) three parts. The first part is f(r) = U, the middle part is a decreasing function, and the last part is f(r) = L. The three parts of f(x) partition W into three wire segments, A, B, and C, where A has width U, C has width L, and B is defined by the middle part of f(r).

Moreover, the STIS algorithm produces the more optimized solution when compared with optimal transistor sizing only. 1. INTRODUCTION It is well recognized that interconnect delay has become the dominating factor in determining the circuit performance in deep submicron designs. We believe that the most effective way for performance optimization in deep submicron design is to consider both logic and interconnect designs throughout the entire design process. As part of our effort to develop a unified methodology and platform for simultaneous logic and interconnect design and optimization, we study the simultaneous transistor and interconnect sizing problem (STIS) for delay minimization in this paper.

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