A Method for the Statistical Evaluation of Crosstalk Effect Between Three Parallel Conductors

There are several cases at which, in order to evaluate the crosstalk effect amongtransmission lines carrying useful signals, there is a need for probabilistic approach. Thispaper considers the problem of crosstalk estimation between transmission linesconsisting of three conductors in a homogeneous surrounding medium, where thedistance between the conductors is a random variable described by uniform distribution.The transmission lines are considered as electrically short. A closed-form equation isdeveloped for the statistical distribution of the per-unit-length mutual inductance (lm)and an analytical one is described for the evaluation of the per-unit-length capacitance(cm). Theoretical results are compared with simulated ones for validation purposes