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By P. Antognetti, Donald O. Pederson and Hugo De Man (Editors)

ISBN-10: 9028627014

ISBN-13: 9789028627017

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Additional info for Computer Design Aids for VLSI Circuits (NATO ASI (Advanced Science Institutes) Series E Applied Sciences - No. 48)

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N .............. GK GK "+GK NC+ NC- Figure 8. The NA pattern of a VCCS. 32 3-Even though Yn is not as sparse as the coefficient matrix of STA, it is sparse. In fact, the number of nonzero elements in row m of Yn is approximately equal to the number of nodes connected to m by some branch and in usual electronic circuits, there is an average number of three nodes connected to any one node. Unfortunately, NA cannot be applied to circuits containing independent voltage sources, CCCS, CCVS and VCVS( strictly speaking there are ways of modifying the circuit so that nodal analysis can still be applied, but they are cumbersome and require preprocessing.

In general a designer needs only a small subset of this information. In order to save the computation involved in solving the STA equations when only a subset of the unknowns is required as output, the programming complexity must be further increased. These implementation problems caused people to look for methods which share most of the nice features of STA but are easier to implement. 5 Modified Nodal Analysis Modified Nodal Analysis (MNA), pioneered by McCalla, Nagel and Rohrer, was subsequently formalized by Ho et al.

0_yi AY = [-WIS] Now the first set of equations are precisely the nodal analysis equations. In other words, NA can be obtained from the Sparse Tableau by performing GE in a precise order. If some of the elements do not have a voltage controlled characteristic, the modified nodal equations be obtained by choosing a precise elimination can still order on the Sparse Tableau. In principle, this elimination order may be far from optimal with respect to sparsity. Therefore, Sparse Tableau is theoretically more efficient than any other method of analysis if 56 sparsity is considered as the criterion to judge the properties of an analysis method.

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Computer Design Aids for VLSI Circuits (NATO ASI (Advanced Science Institutes) Series E Applied Sciences - No. 48) by P. Antognetti, Donald O. Pederson and Hugo De Man (Editors)

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