Large signal integration formula based on truncated Fourier series

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.