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• W1574404915 abstract "A prototype tool for the oriented symbolic analysis of analog circuits is presented. Original methods are combined to obtain expressions of the network functions where terms are grouped and ordered in a way that eases the interpretation of the results. Thus, insight into circuit behavior can be gained by ins- pection, and design criteria can be deduced. In order to keep the number of terms of the expressions as low as possible, a hierarchical approach is used for the construction and the presentation of the formulae. Each function is given in the form of a sequence of expressions that are related hierarchically with each other'. Therefore, expressions need not be pruned and can be kept exact; consequently the drawbacks of approximation algorithms are avoided. functions that can be useful for this purpose. The real problem is the typical exponential growth of the number of terms of the expressions with the size of the networks. Due to the huge amount of terms, exact functions rapidly become im- practical as soon as the number of nodes of the network exceeds ten. Approximation methods have been developed to simplify the analytic expressions based on the order of magnitude of the different elements4r5. Non-significant terms are pruned with respect to a maximum user-defined error. This helps in the interpretation of the results because only the dominant terms appear in the approximated expression. However, the expressions have to be in expanded form in order to well control the error. The simplifications can be carried out on nested expressions, which 11s faster, but large errors can result. So, approximation of fhe exprmsions is generally considered to be a critical point, and better <algorithms are still to be developed. Moreover, the simplification of the expressions does not really solve the problem of the increase in the number of terms because this operation doer; first require the generation of all the terms. Very efficient algorithms have been developed for the analysis of large networks based on lnierarchical techniques. They proceed from the partitionning of the network' or from the decomposition of an associated graph6 inlo several blocks. The result is establi- shed from the analysis of each block and is finally given as a succession of small expressions having a hierarchical dependency on each other. In this case, the number of terms grows only linearly with the size of the network. This hierarchical formulation is of great interest in situations where the symbolic functions have to be evaluated a great number of times for different values of the circuit elements, such as in statistical analysis or design by opti- mization. In these applications, the CPU time has to be minimi- zed, as well as the number of terms in the expressions and the number of operations required for their evaluation. However, the functions are not suitable (nor intended) to being exploited by hand to study thp relationships that direct the circuit behavior. This is because the organization and the grouping of the terms only depends on the way the network or the graph have been partitioned and not on their relative importance." @default.
• W1574404915 created "2016-06-24" @default.
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• W1574404915 date "2005-08-24" @default.
• W1574404915 modified "2023-10-16" @default.
• W1574404915 title "A Prototype Tool For The Design Oriented Symbolic Analysis Of Analog Circuits" @default.
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• W1574404915 doi "https://doi.org/10.1109/cicc.1992.591292" @default.
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