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Download An Introduction to VLSI Physical Design by Majid Sarrafzadeh PDF

By Majid Sarrafzadeh

This article treats the actual layout of very huge scale built-in circuits progressively and systematically. It examines the layout challenge and the layout procedure with the purpose of comparing the potency of computerized layout platforms via algorithmic research. The format challenge is considered as a set of sub-problems that are separately solved successfully after which successfully mixed. Initially,the textual content stories VLSI expertise after which examines format ideas and cellphone new release thoughts.

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Finally, the value of an optimal solution is computed in a bottom-up fashion . • Hierarchical approach. In this approach, a problem is also partitioned into a set of subproblems . The subproblems are independent and the partitions are recursive . The sizes of the subproblems are typically balanced. The partition is usually done in a top-down fashion and the solution is constructed in a bottom-up fashion . 22 AN INTRODUCTION TO VLSI PHYSICAL DESIGN • Mathematical programming . In the mathematical programming approach, there is a set of constraints expressed as a collection of inequalities .

Let numA be the number of modules connected by ea that are in A . If numA = 0, the gain of each module M; E . {MI, , Md } ( they are all in B) is decreased by w(e a ) . When M, is moved to the other partition, the cut-cost is increased by w(ea ) . If numA = 1, the gain of the one module M; E {MI, . . , Md } that is in A is increased by w(e0 ) . If numA > 1, no actions are taken unless numB = 0 or numB = 1 . A similar case analysis holds for numB, where numB is the number of modules connected by e a that are in B .

To choose the next vertex to be moved, consider the maximum gain vertex am ax in list A or the maximum gain vertex borax in list B, and move both across the cut if the balance condition is not violated . As in the Kernighan-Lin algorithm, the moves are tentative and are followed by locking the moved vertex . A move may increase the cut-cost . 4 The data structure for choosing vertices in the Fiduccia-Mattheyses algorithm . no more unlocked vertices, choose the sequence of moves such that the cut-cost is minimized .

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