Symbolic analysis of large-scale networks using a hierarchical signal flowgraph approach

Hassoun, M.; McCarville, Kevin S.

doi:10.1007/bf01239191

Cited by 30 publications

(2 citation statements)

References 6 publications

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“…Then, Mason signal flowgraph techniques are used to analyze each partition yielding a description in terms of Mason's graphs [6]. This leads to a signal-flowgraph description based only on input and output nodes for each block.…”

Section: Mason Flowgraph Methodsmentioning

confidence: 99%

A hierarchical approach for the symbolic analysis of large analog circuits

Guierra

Roca

Fernández

et al. 2000

Proceedings of the Conference on Design, Automation and Test in Europe

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This paper introduces a new hierarchical analysis methodology which incorporates approximation strategies during the analysis process. Consequently, the circuit sizes that can be analyzed increase dramatically, without suffering from the combinatorial explosion of expression complexity. Moreover, the interpretability and usability in practical applications is enabled by providing analytical models that keep complexity at a minimum with the prescribed accuracy.

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Section: Mason Flowgraph Methodsmentioning

confidence: 99%

A hierarchical approach for the symbolic analysis of large analog circuits

Guierra

Roca

Fernández

et al. 2000

Proceedings of the Conference on Design, Automation and Test in Europe

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show abstract

“…Postoji više do sada publikovanih postupaka za SA sa hijerarhijskim pristupom od kojih su najznačajniji: Coates dijagram toka [Kon_980], Masonov dijagram toka [Has_993], redukcija matrice sistema jednačina (RMNA) [Has_995], dijagram odlučivanja determinante (DDD) [Tan_000,Tan_003], metod zasnovan na primeni hibridnih parametara [Djo_001a,Djo_001b].…”

Section: Uvodunclassified

A new original method for symbolic analysis of electronic circuits

Đorđević¹

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Symbolic analysis of electric networks with higher order summative cofactors and parameter decision diagrams

Lasota

2018

Circuit Theory & Apps

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SummaryThe paper introduces the concept of higher order summative cofactors (HOSCs) to the circuit analysis. Although the concept is not new, it is not well known. In the paper, some mathematical background of HOSCs is presented. The further development of the concept of HOSC will yield computer implementation arithmetic of HOSC. A cancellation‐free symbolic analysis technique, which is based on HOSC arithmetic, is presented. This technique allows results to be created directly from a netlist in the form of a binary decision diagram, which is called a parameter decision diagram. Additionally, HOSC arithmetic allows the calculation to be started in many places (sometimes distant) simultaneously. The techniques of rolling up the already analyzed parts of a circuit, which is built into HOSC arithmetic, result in a novel multilevel hierarchical analysis method that is called hierarchical parameter decision diagram (HPDD). Unlike in most hierarchical methods, the results that are obtained based on the subcircuit representation in HPDD always maintain a cancellation‐free form. The HPDD always represents the sum of the product form, which is heavily compressed due to the self‐similarities of the actual circuit. The time that is required for any recalculation of the transfer functions is greatly reduced. Analysis of models that are based on pathological components is also a natural consequence of using HOSC arithmetic.

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Symbolic analysis of large-scale networks using a hierarchical signal flowgraph approach

Cited by 30 publications

References 6 publications

A hierarchical approach for the symbolic analysis of large analog circuits

A hierarchical approach for the symbolic analysis of large analog circuits

A new original method for symbolic analysis of electronic circuits

Symbolic analysis of electric networks with higher order summative cofactors and parameter decision diagrams

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