Modeling of Nonlinearly Loaded Microwave Devices by a Wavelet Convolution Operator-Based Formulation

This article describes a fast and accurate method for the transient analysis of interconnection of networks with frequency-dependent parameters and nonlinear terminations by the use of an innovative wavelet-based convolution operator. This approach is useful to overcome the intrinsic difficulty of these kind of problems since nonlinear elements are better described in the time domain, and circuit components are mostly characterized in the frequency domain. A wavelet balance approach is discussed to solve the nonlinear equations arising from the presence of nonlinear terminations. Because of their generality and ease of use, the scattering parameters are utilized. Computational aspects are discussed, and the results of application of this technique are compared with those obtained by other methods. A very good agreement and reduced computational times have been obtained.