A probabilistic method for the evaluation of coupling between transmission lines

The authors point out that the random positioning of wires, as described here, frequently occurs in practice since the relative positions of the wires are often unknown. Consequently, the problem of crosstalk has a probabilistic nature and needs to be analyzed accordingly. The problem of two wires whose heights above ground and whose distance of separation are known only probabilistically is considered. A model enabling the computation of the coupling distribution and other statistical parameters of interest, such as the coupling distribution's expectation and standard deviation, is developed. A simulation was performed, and its results compare well with computations based on the analytical model.