Discontinuity correction in piecewise-linear models of oscillators for phase noise characterization

摘要: Decomposition of noise perturbation along Floquet eigenvectors has been extensively used in order to achieve a complete analysis phase oscillator. Piecewise-linear approximation nonlinear devices is usually adopted numerical calculation based on multi-step integration method for the determination unperturbed oscillator solution. In this case, exact monodromy matrix can be hampered by presence discontinuities between models introduced approximation. In paper we demonstrate that, without proper corrections, relevant errors occur eigenvalues and eigenvectors, if adjacent linear presents discontinuities. We obtain result simple 2-D with piecewise-linear parameter. We also that correct achieved introducing properly calculated state vector boundary conditions use interface matrices. This correction takes into account effects models, leading and, consequently, spectrum. Copyright © 2006 John Wiley & Sons, Ltd.