Multi time scale differential equations for simulating frequency modulated signals

Authors:
R. Pulch
Affiliations:
Bergische Universität Wuppertal, Fachbereich C, Arbeitsgruppe Angewandte Mathematik/Numerische Mathematik, Wuppertal, Germany
Venue:
Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)
Year:
2005

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Abstract

Radio-frequency (RF) circuits produce quasiperiodic signals with widely separated time scales. In the case of autonomous time scales, frequency modulation occurs in addition to amplitude modulation. A multidimensional signal model yields an efficient numerical simulation by computations via a multirate partial differential algebraic equation (MPDAE) with periodic boundary conditions. We present a time domain method for these systems, which integrates along characteristic curves and thus is consistent with the inherent information transport. Moreover, we propose a special choice for additional boundary conditions, which are necessary to determine local frequencies. Test results confirm that the constructed techniques compute efficiently frequency modulated quasiperiodic signals in RF applications.