Meshfree Wavelet-Galerkin Method for Steady-State Analysis of Nonlinear Microwave Circuits

摘要

The paper presents a Wavelet-Galerkin method to compute the non-periodic steady-state response of a nonlinear dynamic microwave circuit with m pulsed input signals and n outputs. The method is based on both time-domain and frequency domain approaches. In the formulation of the equations describing the network, the elements of the circuit are assumed to be regrouped into linear and nonlinear subcircuits by loop analysis concepts. The linear part is transferred into the frequency domain by means of the Laplace transformation where the solution can by computed analytically. For the nonlinear subcircuit, the Bubnov-Galerkin method is applied in the time-domain. The discretization of the steady-state response in the Haar-wavelet basis results in a nonlinear system of algebraic equations for the expansion coefficients. The system is solved by means of the Newton-Raphson method for which the linear part of the multidimensional Taylor series expansion with respect to the expansion coefficients serves as start value. The performance of this new approach is illustrated by two examples.