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Méthode symbolique de calcul des sensibilités ďordres supérieurs

Symbolic method of higher-order sensitivities computation

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Résumé

Cet article présente une méthode de calcul des sensibilités ďordres supérieurs de plusieurs caractéristiques de circuits hyperfréquences, qui n’utilise pas la programmation directe des formules des sensibilités obtenues par dérivation (expressions très lourdes, voire impossibles à déterminer à des ordres élevés), mais par une approche symbolique retrouve les valeurs numériques des sensibilités en reconstituant ces expressions avec un minimum de calculs. Un logiciel utilisant cette méthode a été élaboré et permet de donner des résultats de sensibilités jusqu’aux ordres 7 et 8 (la limitation étant due uniquement aux performances de ľordinateur utilisé).

Abstract

In this paper we present a new method of higher order sensitivities computation in microwave circuits. This method doesn’t use the expressions of sensitivities obtained by hand derivation (too heavy and almost impossible to find for higher orders), but instead a symbolic approach which directly leads to the numerical values of higher-order sensitivities. This procedure has been implemented in a program which actually computes sensitivities up to orders 7 and 8 (the only limitation is due to the cpu speed of the computer).

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Authors and Affiliations

  1. Laboratoire de dispositifs infrarouge et microondes, Université Pierre et Marie Curie, Tour 12, 2e étage, 4, place Jussieu, F-75252, Paris Cedex 05, France

    François Vallette, Gabriel Vasilescu & Georges Alquié

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  1. François Vallette
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  2. Gabriel Vasilescu
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  3. Georges Alquié
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Vallette, F., Vasilescu, G. & Alquié, G. Méthode symbolique de calcul des sensibilités ďordres supérieurs. Ann. Télécommun. 48, 449–458 (1993). https://doi.org/10.1007/BF02995473

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  • DOI: https://doi.org/10.1007/BF02995473

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