Implementation issues for symbolic sensitivity analysis

Echtenkamp, J.; Hassoun, M.

doi:10.1109/mwscas.1996.594190

Cited by 6 publications

(8 citation statements)

References 3 publications

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“…This simplification method can be considered as SBG-type (Simplification Before Generation) and has significant impact on symbolic sensitivity analysis. Such simplification method is not known in literature devoted to symbolic sensitivity analysis [5]- [8], [11]. In this section we will compare the number of arithmetical operations of the presented method with the two-port transimpedance method, which has been already related to other symbolic sensitivity analysis methods [5].…”

Section: Examplementioning

confidence: 99%

“…Once the circuit equations are derived, the relevant derivatives of each equation can be computed symbolically and then the differential sensitivity can be calculated using the chain rule of differentiation. This solution was proposed first in [6] and was extended in [7], [8] by representing a sequence of expressions (SoE) as directed acyclic graph (DAG) and providing an algorithm for analyzing the DAG. Although the method is conceptually simple it does not always generates the optimal sequence [8].…”

Section: Introductionmentioning

confidence: 99%

“…This solution was proposed first in [6] and was extended in [7], [8] by representing a sequence of expressions (SoE) as directed acyclic graph (DAG) and providing an algorithm for analyzing the DAG. Although the method is conceptually simple it does not always generates the optimal sequence [8]. This is due to the fact that the number of additional expressions, required for sensitivity calculations, heavily depends on the position of the symbol with respect to which the derivatives are calculated.…”

Section: Introductionmentioning

confidence: 99%

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Multiparameter symbolic sensitivity analysis of active circuits by using nullor model and modified Coates flow graph

Asenova

Balik

2012

2012 Elektro

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A new method of the multiparameter symbolic sensitivity determination based on the equivalent nullor model of active devices and modified Coates flow graph is presented. The proposed method is simple and performs the multiparameter symbolic sensitivity analysis of a synthesized network with respect to various circuit parameters. A special software tool called "HoneySen" has been developed to implement the suggested method. All partial transfer functions and partial sensitivities can be determined, too. Symbolic results for the multiparameter sensitivity of the voltage transfer function for a fourth-order low pass filter is presented. Comparison of the presented method with the Transimpedance method is performed.

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Section: Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multiparameter symbolic sensitivity analysis of active circuits by using nullor model and modified Coates flow graph

Asenova

Balik

2012

2012 Elektro

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“…The symbolic representation of one coefficient in the numerator or denominator of the transfer function can be easily derived by applying Equation 6 8 starting from the node. The following illustrates the steps to calculate denom 1.…”

Section: Fig 2 Ecd Representation Of Vout For Rc Networkmentioning

confidence: 99%

“…This in turn has led to the development of several symbolic sensitivity analysis techniques based on differentiation of symbolic equations derived by hierarchical sym- bolic analysis [4,5,6,7]. Each of these methods however inherits the limitations of the sequence of expression technique.…”

Section: Introductionmentioning

confidence: 99%

Efficient symbolic sensitivity analysis of analog circuits using element-coefficient diagrams

Yang

Ranjan

Verhaegen

et al. 2005

Proceedings of the 2005 Conference on Asia South Pacific Design Automation - ASP-DAC '05

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This paper presents a new method to perform efficient first-order symbolic sensitivity analysis of analog circuits by direct differentiation of symbolic expressions stored as elementcoefficient diagrams (ECDs). An ECD is a compact graphical representation of a symbolic transfer function. It is the cancellationfree and per-coeffcient term generation version of determinant decision diagrams (DDDs). The symbolic sensitivity equations obtained from ECDs are stored as a sensitivity-ECDs(SECDs) and can be evaluated extremely fast as it inherits the properties ofECDs. The proposed methodology has been applied to the calculation of sensitivities of four benchmark circuits and it has been demonstrated to be as accurate and more efficient than numerical sensitivity analysis done by SPECTRE.

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Calculation of Symbolic Sensitivities for Large-Scale Circuits in the Sequence of Expressions Form via the Transimpedance Method

Balik

Rodanski

2004

Analog Integrated Circuits and Signal Processing

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In this paper we describe a new method for obtaining, in symbolic form, the network functions and their small-and large-change sensitivities. Our method is based on the two-port transimpedance concept and the sequence of expressions approach to calculation of matrix determinant. We show that the network functions as well as their sensitivities can be expressed by appropriate transimpedances. Each transimpedance is given by an algebraic sum of at most four elements of the inverse of the circuit's reduced node admittance matrix. In our method the complexity of the sequence of expressions grows linearly with the circuit size. The extra effort required to obtain sensitivities is minimal and, more importantly, independent of the circuit size.

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Implementation issues for symbolic sensitivity analysis

Cited by 6 publications

References 3 publications

Multiparameter symbolic sensitivity analysis of active circuits by using nullor model and modified Coates flow graph

Multiparameter symbolic sensitivity analysis of active circuits by using nullor model and modified Coates flow graph

Efficient symbolic sensitivity analysis of analog circuits using element-coefficient diagrams

Calculation of Symbolic Sensitivities for Large-Scale Circuits in the Sequence of Expressions Form via the Transimpedance Method

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