Quasiperiodic steady-state analysis of electronic circuits by a spline basis

Hans Georg Brachtendorf, Angelika Bunse-Gerstner, Barbara Lang, Lampe Siegmar, Ashish Awasthi

Research output: Chapter in Book/Report/Conference proceedingsConference contribution


Multitone Harmonic Balance (HB) is widely used for the simulation of the quasiperiodic steady-state of RF circuits. HB is based on a Fourier expansion of the waveforms. Unfortunately, trigonometric polynomials often exhibit poor convergence properties when the signals are not quasi-sinusoidal, which leads to a prohibitive run-time even for small circuits. Moreover, the approximation of sharp transients leads to the well-known Gibbs phenomenon, which cannot be reduced by an increase of the number of Fourier coefficients. In this paper we present alternative approaches based on cubic or exponential splines for a (quasi-) periodic steady state analysis.Furthermore, it is shown below that the amount of coding afford is negligible if an implementation of HB exists.
Original languageEnglish
Title of host publicationMathematics in Industry -- Scientific Computing in Electrical Engineering (SCEE 2008)
Publication statusAccepted/In press - 2008
EventScientific Computing in Electrical Engineering (SCEE 2008) - Helsinki, Finland, Finland
Duration: 28 Sept 20083 Oct 2008


ConferenceScientific Computing in Electrical Engineering (SCEE 2008)
CityHelsinki, Finland
Internet address


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