Statistical analysis for crosstalk of twisted-wire pairs with non-uniform pitch

The pitch error of random twisted wire pair (TWP) could directly impact the immunity levels of TWP. The randomness of pitch error would cause the uncertainty of crosstalk prediction of TWP. According to the analysis of the TWP production principle, the probability density of the pitch error of TWP was accurately obtained by the production parameters. The crosstalk model of the TWP with non-uniform pitch was rapidly presented by the equal radian discrete method and concept of generalized multi-port network, likewise, the relationship between the inductive coupling and pitch error was obtained. The statistical properties of crosstalk in random TWP could be analyzed effectively based on the probability density function of pitch error. The simulation analysis further validates that the mean and variance of shafts' angular velocity are the key factors of affecting the inductive coupling of random TWP. For the TWP production, the mean and variance of shafts' angular velocity must be taken into account carefully to ensure the immunity levels of TWP.