Multiplexer rational model extraction based on generalized formulation of Cauchy method

A generalized formulation of Cauchy method for multiplexer rational model extraction is presented in this paper. This new technique can extract the multiplexer rational models from either measurement or electromagnetic simulation results. The generalized formulation of Cauchy method takes into account the relationship between the transmission coefficients and reflection coefficients of each channel filter. It is suitable for multiplexers whose channel filters are connected through resonating junction. The total least square method is applied to solve the system matrix. The new technique presented in this paper is suitable for lossless case as well as lossy case and is verified by lossless triplexer and circuit simulation lossy triplexer examples successfully.