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Warped MPDAE Models including Minimisation Criteria for the Simulation of RF Signals
Author(s) -
Pulch Roland
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510378
Subject(s) - minimisation (clinical trials) , decoupling (probability) , boundary value problem , mathematics , calculus of variations , frequency domain , algebraic number , computer science , multivariable calculus , radio frequency , electronic circuit , control theory (sociology) , mathematical optimization , algorithm , mathematical analysis , physics , telecommunications , control engineering , engineering , statistics , control (management) , artificial intelligence , quantum mechanics
Abstract In radio frequency (RF) applications, electric circuits produce signals including widely separated time scales. A multidimensional representation yields an efficient model by decoupling the time scales. Consequently, a warped multirate partial differential algebraic equation (MPDAE) describes the circuit's behaviour. The appropriate determination of an arising local frequency function is crucial for the efficiency of this approach. Variational calculus implies a necessary condition to a specific solution, which exhibits a minimal amount of oscillations in the whole domain of dependence. We apply a similar strategy to minimise oscillatory performance in some boundary values only. Now variational calculus yields a boundary condition, which can easily be used in numerical methods. We compare the results of both minimisation criteria in a simulation of a warped MPDAE model. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)