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Multidimensional models for analysing frequency modulated signals

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In radio frequency (RF) applications, slowly varying signals often modulate the amplitude and frequency of fast carrier waves. Thus a numerical simulation of the differential algebraic equations (DAEs) modelling the electric circuit becomes tedious. Alternative models are required to achieve efficient simulations. A multivariate formulation of signals yields a suitable representation via decoupling the widely separated time scales. Consequently, the circuit's DAEs change into warped multirate partial DAEs. On the other hand, the transient behaviour of the circuit can also be approximated by a parameter-dependent DAE model including a multivariate structure. The properties of this alternative strategy are investigated. In particular, the two multidimensional approaches are compared with respect to the simulation of RF signals.

Keywords: Differential algebraic equations; Electric circuit simulation; Frequency modulated signals; Parameter-dependent differential algebraic equations; Partial differential algebraic equations

Document Type: Research Article


Affiliations: Bergische Universität Wuppertal, Lehrstuhl für Angewandte Mathematik und Numerische Mathematik, Wuppertal, Germany

Publication date: August 1, 2007


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