On a pin versus gate relationship for heterogeneous systems: heterogeneous Rent's rule

Abstract

In this paper the overall pin versus gate relationship of a heterogeneous system is derived based on the Rent's rule parameters of each megacell in the system. It is shown that, a composite Rent's rule successfully describes a heterogeneous collection of megacells.

Prediction of interconnect fan-out distribution using Rent's rule

“…Note that the equivalent megacells Rent's rule parameters can be estimated from the Rent's rule parameters of each megacell by using the heterogeneous Rent's rule[7], as…”

Die-stacking Architecture

“…where k 1;2 and p 1;2 are the equivalent Rent's coefficient and exponent, and they are derived as follows [114], [111].…”

Heterogeneous architecture models for interconnect-motivated system design

“…The net-list information is estimated using the Heterogeneous Rent's Rule [4] to define the connectivity between cells. Heterogeneous Rent's Rule is a newly derived relationship that extends Rent's Rule empirical correlation by establishing an equivalent , and for heterogeneous systems.…”

“…Equivalent Rent's parameters are calculated for the single processor using the Heterogeneous Rent's Rule [4] for GENESYS to partition wire demands into multi-tier interconnection layers and to find the longest global wire. Clock frequency and chip area for a single processor are then estimated following wire partitioning.…”

“…The architecture models provide important parameters to Rent's Rule wiring models, such as number of logic gates, Rent's exponent and coefficient, number of signal terminals, and fan-out distribution, for various functional units in a modern processor. Empirical descriptions from cell structure, placement, and routing, are extracted to provide realistic wire demands [4]. These architecture models correlate estimated wire demands with the appropriate architecture rather than a simple random logic block.…”