Transfer functions of lumped distributed multibranch networks

摘要

The transfer functions of fairly complicated lumped distributed multibranch networks are derived analytically in a matrix form. This is achieved by introducing a delay element that represents the time delay of a constituent transmission line. A simple method for deriving the transfer functions of networks with lower branch numbers is also presented. Finally, three examples of lumped distributed multibranch networks and their time/frequency responses are presented.