Title
h-gamma: an RC delay metric based on a gamma distribution approximation of the homogeneous response
Abstract
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
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 Lin1393.08
Emrah Acar235024.96
Lawrence Pileggi335831.47