Analysis of crosstalk in nonhomogeneous multiconductor lines

Multiconductor crosstalk is caused by interconductor electromagnetic and static induction and resistance and is determined by primary line parameters. The currently used model and phase methods for line modes are applied for particular modes but cannot analyze random load line operations because receiver resistance must be matched with the continuous telegrapher equation lines while known iterative methods converge slowly to the boundary conditions and require considerable computer time expenditure. Analysis is more difficult for nonhomogeneous multiconductor modes because the differential or difference equations have variable complex coefficients. A method is given based upon a transition from line equations with particular differentials to approximating difference equations, i.e., to discrete line models. The method makes it possible to determine effectively modes for different boundary conditions and reduces nonhomogeneous multiconductor modes to elementary operations on low order matrices. Computer procedure is simplified by special features of the general matrix so that programming is improved and machine time reduced. Examples are given.