Rent's Rule - Special Cases and Applications

Special Cases and Applications

Random arrangement of logic blocks typically have . Larger values are impossible since the maximum number of terminals for any region containing g logic components in a homogeneous system is given by . Lower bounds on p depend on the interconnection topology since it is generally impossible to make all wires short. This lower bound is often called the "intrinsic Rent exponent", a notion first introduced by Hagen et al. It can be used to characterize optimal placements and also measure the interconnection complexity of a circuit. Higher (intrinsic) Rent exponent values correspond to a higher topological complexity. One extreme example is a long chain of logic blocks, while a clique has . In realistic 2D circuits, ranges from 0.5 for highly-regular circuits (such as SRAM) to 0.75 for random logic.

System performance analysis tools such as BACPAC typically use Rent's rule to calculate expected wiring lengths and wiring demands.

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