1998
DOI: 10.1109/81.660746
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Transient bounding in networks with distributed and lumped parameters

Abstract: For a general network with distributed parameter lines (described by telegraph equations) with nodes grounded by RC lumped elements, upper and lower bounds of voltage at any point are given. Thus, the problem of bounding the delay time in such networks comes to solve a system of nonlinear algebraic inequalities. For tree-type circuits, we give two algorithms, doing this rapidly and providing reasonable tight bounds. The results are of interest for timing analysis of MOS interconnection structures.

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Cited by 6 publications
(3 citation statements)
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“…The delay time bound is an important performance indicator in interconnect circuits (Marinov and Neittaanm 1991, Marinov and Shivakumar 1996, Marinov 1998, Hou et al 2000. Marinov and Shivakumar (1996) defined the global switching time (GST) and obtained the GST bounds of an i?C-ladder network, a basic model used in integrated circuits.…”
Section: Delay Time Bounds For Rc-and Rlc-ce\\ Networkmentioning
confidence: 99%
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“…The delay time bound is an important performance indicator in interconnect circuits (Marinov and Neittaanm 1991, Marinov and Shivakumar 1996, Marinov 1998, Hou et al 2000. Marinov and Shivakumar (1996) defined the global switching time (GST) and obtained the GST bounds of an i?C-ladder network, a basic model used in integrated circuits.…”
Section: Delay Time Bounds For Rc-and Rlc-ce\\ Networkmentioning
confidence: 99%
“…The method via Lanczos process is compared with not only the method by Marinov and Shivakumar (1996) but also with another improved method (Hou et al 2000) in Section 6.4.1. Moreover, in their work (Marinov andShivakumar 1996, Hou et al 2000 ), the precision of numerical results are set at 10" 1 and 10 -4 , respectively. So, the numerical precision is set at 10" 4 in the examples.…”
Section: Numerical Examples and Analysismentioning
confidence: 99%
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