【摘要】 本文研究了经过随机耦合链传输之后所得到的不同途径分量的分布统计规律。根据随机分布的收钦性定理,借助于随机变量的母函数及半矩母函数,从数学上严格证明了随耦合次数的增多,这些分量分布的集平均渐近于高斯型,并且求得了这一渐近分布的宽度表达式.该式表明渐近分布的宽度与耦合次数的平方根成正比,且与耦合系数的方差有关。更多还原

【Abstract】 In this paper the statistical distribution characteristics of the components with different ways in a random coupling chain are studied. It has been strictly proved by means of the properties of the generating function and the semi-invariant generating function of a random variable that the ensemble average of this distribution approaches a Gaussian shape for sufficient coupling times. The expression shows that the width of the asymptotic distribution is directly proportional to the spuare root of coupling times and related to the variance of the coupling coefficients.更多还原