Hierarchical Symbolic Analysis of Analog Integrated Circuits via Determinant Decision Diagrams (2000)
| Venue: | IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol.19, Apr 2000 |
| Citations: | 2 - 0 self |
BibTeX
@INPROCEEDINGS{Tan00hierarchicalsymbolic,
author = {Xiang-dong Tan and C. -j. Richard Shi and Senior Member},
title = {Hierarchical Symbolic Analysis of Analog Integrated Circuits via Determinant Decision Diagrams},
booktitle = {IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol.19, Apr 2000},
year = {2000},
pages = {401}
}
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Abstract
A new approach is proposed to hierarchical symbolic analysis of large analog integrated circuits. It consists of performing symbolic suppression of each subcircuit to its terminals in terms of subcircuit matrix determinants and cofactors, and applying Cramer's rule to solve symbolically the set of equations at the top level of the circuit hierarchy. The novelty of the proposed approach is to use an annotated, directed and acyclic graph, called Determinant Decision Diagram (DDD), to represent symbolic determinants of subcircuit matrices and cofactors used in subcircuit suppression, as well as symbolic determinants of the top-level circuit matrix and cofactors required in applying Cramer's rule. DDD enables systematically exploiting the inherent sparsity of circuit matrices and the sharing of symbolic expressions. It is capable of representing a huge number of symbolic product terms in a canonical and highly compact manner. The proposed approach is illustrated using a Cauer parameter low...
