Computation of Crosstalk in a Multiconductor Transmission Line

Closed-form solutions for the terminal currents of a multiconductor transmission line are obtained. The results allow a numerically efficient computation of the crosstalk associated with an (n + 1)-conductor line when a large number of frequencies are of interest and bypass the usual requirement for the repeated solution of n simultaneous equations at each frequency. The results show the effect of parasitic circuits in the line on the coupling between any two circuits. It is also shown that the usual low-frequency notion of superimposing inductive and capacitive coupling which has been used for lines with only two circuits is valid, for an electrically short line and a sufficiently low frequency, for a multiconductor line containing any number of coupled circuits. Some additional qualitative details concerning the crosstalk are evident in this formulation.