Influence of Transmission Path Randomness on Terminal Reflection Characteristics

An approximate method is introduced to predict the distribution of source reflection coefficient when transmission path with stochastic height above ground in any position. The transmission path is divided into many segments, assuming that the height of each segment is independent and identically distributed. When the height is logarithmic normal distributed, expression of mean value and variance are derived, the values are referred to as calculated value. Meanwhile, the accurate expression of source reflection coefficient is obtained based on transmission line theory, then the mean value and variance are calculated in a statistical way by calculating the source reflection coefficient thousands of times. The values are referred to as statistical value. Moreover, the comparison between the statistical value and the calculated value shows the validity and the benefit of this approach. With the number of segments increase, the approximate method is more accurate. What is more, the calculated value consists well with the statistical value in a wide frequency range. Compared with the other statistical method, the approximate method is easier and more feasible.