Title :
Large signal integration formula based on truncated Fourier series
Author_Institution :
Tallinn Tech. Univ., Estonia
Abstract :
A new integration method for highly oscillating circuits has been proposed. The method is based on using finite (truncated) Fourier series for the representation of signals. Nonlinear transformations are implemented in two phases: harmonic linearization using only one sine wave in phase space, and general Chebyshev transformation of waveforms to return into the true time domain. The properties of integration procedure and non-linear transformation are studied
Keywords :
Fourier series; integration; linearisation techniques; nonlinear network analysis; oscillators; transforms; general Chebyshev transformation; harmonic linearization; highly oscillating circuits; integration method; large signal integration formula; large signal model; nonlinear transformations; signal representation; truncated Fourier series; Chebyshev approximation; Circuit simulation; Damping; Eigenvalues and eigenfunctions; Fourier series; Frequency domain analysis; Harmonic analysis; Nonlinear equations; Oscillators; Stability;
Conference_Titel :
Circuits and Systems, 2000. Proceedings of the 43rd IEEE Midwest Symposium on
Conference_Location :
Lansing, MI
Print_ISBN :
0-7803-6475-9
DOI :
10.1109/MWSCAS.2000.951448
