Quasiperiodic Steady-State Analysis of Electronic Circuits by a Spline Basis

Autor: Siegmar Lampe, Barbara Lang, Angelika Bunse-Gerstner, Ashish Awasthi, Hans Georg Brachtendorf
Rok vydání: 2010
Předmět:
Zdroj: Scientific Computing in Electrical Engineering SCEE 2008 ISBN: 9783642122934
DOI: 10.1007/978-3-642-12294-1_26
Popis: 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 removed by an increase of the number of Fourier coefficients, because convergence is only guaranteed in the L 2 norm. In this paper we present alternative approaches based on cubic or exponential splines for a periodic or quasiperiodic steady state analysis. Furthermore, it is shown below that the amount of coding effort is negligible if an implementation of HB exists.
Databáze: OpenAIRE