Statistical Analysis and Optimization for VLSI: Timing and Power (Integrated Circuits and Systems)

By Ashish Srivastava

Covers the statistical research and optimization matters bobbing up as a result of elevated method diversifications in present applied sciences.

Comprises a important reference for statistical research and optimization suggestions in present and destiny VLSI layout for CAD-Tool builders and for researchers attracted to beginning paintings during this very lively quarter of study.

Written by author who lead a lot learn during this zone who offer novel rules and ways to deal with the addressed issues

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Assuming that the gate hold up pdf is Gaussian we will be able to generate the gate hold up pdf in line with the version for suggest and variance built above. utilizing this gate hold up an output hold up pdf is generated through scaling the gate hold up pdf via the utmost of the enter hold up occasions. hence, for 0{n'^) mixtures of discrete occasions at the enter we generate 0{n^) output hold up pdfs. each one of those output pdfs is then scaled via the made from the chance of the 2 discrete occasions at the enter to which this output hold up pdf corresponds. those scaled pdfs are then grouped through summing the chances of all occasions taking place at a given time element. considering the fact that we have to mix 0{n'^) hold up pdfs, every one with n discretizations, we get an total complexity of 0{n^). because the variety of discretizations are usually small, starting from 5-10, this elevate in complexity is affordable. to increase the above research for greater than enter gates, notice basic extension may bring about computational complexity that raises exponentially with the variety of inputs. The technique proposed in [5] iteratively considers a couple of enter pins to generate the ultimate output hold up pdf. allow us to think of the stairs enthusiastic about appearing MIS-aware SSTA for a 3 enter gate with enter pins A, B and C. 1) step one is to reserve the nodes in line with the suggest hold up on the enter pins. We check with the ordered set of enter pins as 1, 2 and three, with enter 1 having the smallest suggest hold up. 2) contemplating the 2 earliest switching inputs (1 and a couple of) we will generate the output hold up pdf utilizing the procedure defined above. three) subsequent, compute the output hold up pdf assuming a SIS taking place on enter pin 2 and evaluate it to the output hold up pdf calculated assuming MIS on inputs 1 and a pair of. Compute the rise in suggest hold up as /X12 and the reduce in variance as ai2> 3. 2 Block-Based Timing research 113 MIS Simulations SIS assumptJon Analytical procedure B zero. 025 a. hold up (F04) Fig. three. sixteen. The technique proposed in [5] to deal with MIS exhibits solid accuracy in comparison to effects bought utilizing Monte Carlo SPICE simulations. (©2005 IEEE) four) Now, decrease the variance of the enter hold up pdf of node 2 by means of (J12. Then, for all pairs of discrete occasions on enter pins 2 and three (with hold up ^2 and ^3) compute the gate hold up pdf. rather than transferring the hold up pdf by way of max(d2, ds) as with regards to enter gates, it's shifted through max(

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