Exact Simulation and Sensitivity Analysis of Multiplexing Networks

Abstract

This paper presents a novel approach to the simulation and sensitivity analysis of multiplexing networks. All computations are per- formed efficiently utilizing the concept of forward and reverse analysis which is elegant and effective in cascaded circuit analysis. Formulas are derived for such responses as input or output reflection coefficient, com- mon port and channel output port return losses, insertion loss, gain slope, and group delay. Exact sensitivities w.r.t. all variables of interest, inchrdhg frequency, are evahsated. The fundamental assumption is that the transmis- sion matrices for the individual components of the network and their sensitivities w.r.t. possible variables inside them are available. An explicit algorithm is provided describing the details of the computational aspects of our theory. The formulas are applied to the optimal design of practical contignons or noncontiguous band multiplexer consisting of multicavity filters distributed along a wavegnide manifold. An example of optimizing a practical 12 channel, 12-(XIZ contiguous band multiplexer without dummy channels, which is the state-of-the-art structure used as the output muki- plexer in satellite transponders, is presented.