Title | ||
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h-gamma: an RC delay metric based on a gamma distribution approximation of the homogeneous response |
Abstract | ||
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Recently a probability interpretation of moments wm proposed as a compromise between the Elmore delay and higher or&r mommt matchingfor RC timing estimation(5). By modeling RC impufses as tinze-sht~ed incomplete gamma distribution functions, the delays could be obtained via table 100tip using a gamma integral table and the first three moments of the imptise response. However, while this approximation worti well for many examples, it strug- gles with responses when the metal resistance becomes dominant, andproduces results with impractical h.meshz~ values. In this paper the probability interpretation is etiended to the circuit homogeneous response, without requiring the time shi$ parameter The gamma distribution is used to characterize the nor- malized homogeneous portion of the step response. For a general- ized RC interconnect model (RC tree or mesh), the stability of the holtlogetleol{s-gml?ta distribution model is guaranteed. It is dem- onstrated that when a table model is carefilly constructed the h- gamma approxinrationprovidesfor exellent improvemeti over the Elmore delay in terms of accur~, with ve~ little additiond cost in terms of CPU time. |
Year | DOI | Venue |
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1998 | 10.1145/288548.288555 | ICCAD |
Keywords | DocType | ISBN |
gamma distribution approximation,homogeneous response,rc delay,higher order,rc circuits,gamma distribution,impulse response,transient response | Conference | 1-58113-008-2 |
Citations | PageRank | References |
39 | 3.08 | 12 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Tao Lin | 1 | 39 | 3.08 |
Emrah Acar | 2 | 350 | 24.96 |
Lawrence Pileggi | 3 | 358 | 31.47 |