Title
Timing modeling and optimization under the transmission line model
Abstract
As the operating frequency increases to gigahertz and the rise time of a signal is less than or comparable to the time-of-flight delay of a wire, it is necessary to consider the transmission line behavior for delay computation. We present in this paper, an analytical formula for the delay computation under the transmission line model. Extensive simulations with SPICE show the high fidelity of the formula. Compared with previous works, our model leads to smaller average errors in delay estimation. Based on this formula, we show the property that the minimum delay for a transmission line with reflection occurs when the number of round trips is minimized (i.e., equals one). Besides, we show that the delay of a circuit path is a posynomial function in wire and buffer sizes, implying that a local optimum is equal to the global optimum. Thus, we can apply any efficient search algorithm such as the well-known gradient search procedure to compute the glob ally optimal solution. Experimental results show that simultaneous wire and buffer sizing is very effective for performance optimization under the transmission line model.
Year
DOI
Venue
2004
10.1109/TVLSI.2003.820529
IEEE Trans. VLSI Syst.
Keywords
Field
DocType
time-of-flight delay,delay computation,simultaneous wire,delay estimation,timing modeling,transmission line behavior,buffer size,transmission line model,minimum delay,analytical formula,transmission line,search algorithm,inductance,interconnect,indexing terms,computational modeling,transmission line theory,transmission lines,time of flight,optimization,frequency
Delay calculation,Posynomial,Search algorithm,Transmission line,Local optimum,Computer science,Real-time computing,Electric power transmission,Electronic engineering,Elmore delay,Computation
Journal
Volume
Issue
ISSN
12
1
1063-8210
Citations 
PageRank 
References 
15
0.91
15
Authors
3
Name
Order
Citations
PageRank
Tai-Chen Chen1877.99
Song-Ra Pan2313.24
Yao-Wen Chang33437253.54