By Sabih H. Gerez
Modern microprocessors akin to Intel's Pentium chip usually comprise thousands of transitors. recognized generically as Very Large-Scale built-in (VLSI) structures, the chips have a scale and complexity that has necessitated the improvement of CAD instruments to automate their layout. This publication makes a speciality of the algorithms that are the construction blocks of the layout automation software program which generates the structure of VLSI circuits. one of many first books at the topic, this advisor covers all levels of design.
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Extra info for Algorithms for VLSI Design Automation
The shortest-path problem becomes more complex, however, if the length of the path between two vertices is not simply the number of edges in the path. This is the case in edge-weighted graphs, where the length of a path is defined as the sum of the edge weights of the edges in the path. g. model a group of cities and the distances between these cities (the graph can be constructed by taking a vertex for each city, an edge for each pair ofcities that have a direct connection, and edge weights corresponding to the distance between adjacent cities).
The notation is maintained forhistorical reasons. o2n2*l2in+6zz : 3nlogn * n : 5n3 5n3 5n3 : : : O(nz) O(r2) O(nlogn) O(I"3) O(n4) O(n3 + n2) Although the last three equalities are correct, they are not used to describe computational complexity. one chooses the order expression to be as simple and as sharp as possible. The big-o notation describes the upper bound of a function. If one wants to describe a lower bound, the big-omegd notation is used: f (n) : s2(g(n)) (pro- "f (n) is big Omega g(n)" ot "f (n) is of order ar leasr if : O(f (n)).
Yet another feature of a frameworkis methodology management. g. by making sure that some verification program is called after the invocation of a synthesis tool. 7 BibliographicNotes The reader who is interested in alternative presentations of the suite of CAD tools, the way they can be used, as well as the evolution of the tools throughout the years, can consult the review papers [New8l], [Car86], [New86], [Row91] and [Keu97]. Extensive information on modern CAD tools can also be found in [Smi97].
Algorithms for VLSI Design Automation by Sabih H. Gerez
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