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.
|Title of host publication||Mathematics in Industry -- Scientific Computing in Electrical Engineering (SCEE 2008)|
|Publication status||Accepted/In press - 2008|
|Event||Scientific Computing in Electrical Engineering (SCEE 2008) - Helsinki, Finland, Finland|
Duration: 28 Sep 2008 → 3 Oct 2008
|Conference||Scientific Computing in Electrical Engineering (SCEE 2008)|
|Period||28.09.2008 → 03.10.2008|