Abstract

This paper describes some new results with respect to the classic problem of the component-to-pin ratio and particularly for the case of hierarchical (heterogeneous) systems. Generalizations of Rent's Rule, providing greater accuracy and extending the domain of applicability are presented. The two weaknesses of Rent's Rule—the limited range on the number of components in a block and on the Rent exponent—are eliminated. The resulting generalized rules are based on parameters that can be measured from actual designs. Based on these new rules, estimations of average interconnection lengths for one-dimensional and two-dimensional cases are deduced. The impact of optimal placement on interconnection length is considered. The applicability of the new rules to hierarchical systems is demonstrated. The new rules have been found to produce very satisfactory results on test and industrial circuits.

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