典型随机信号特征参数统计分布的分形特性  

Fractal characteristics of characteristic parameter statistical distributions of typical random signals

作　　者：杨娟[1] 卞保民[1] 闫振纲[1] 王春勇[1] 李振华[1] 

机构地区：[1]南京理工大学信息物理与工程系,南京210094

出　　处：《物理学报》2011年第10期86-92,共7页Acta Physica Sinica

基　　金：江苏省博士后科研资助计划(批准号:0902017C);南京理工大学自主科研专项计划(批准号:2010GJPY028)资助的课题~~

摘　　要：建立了一种能够描述随机信号结构基本特征的双参数脉冲信号统计模型.基于此模型,脉冲信号群幅度计数分布q(lV),宽度计数分布p(lτ)及给定宽度信号子集的幅度计数分布εlτ(lV),给定幅度信号子集的宽度计数分布δlV(lτ)均能很稳定的服从以序列自然数为自变量的对数正态分布.且计数分布的统计特征量μlnV,μlnτ,σlnV,σlnτ与信号的特征参数lV,lτ之间存在内在联系,这种联系的形式即随机信号分形特性的表现,表明随机信号特征参数的统计分布之间具有非整数维分形特征.A two-parameter statistical model of the pulsed signals which can be used to describe the basic structural characteristics of the random signals is established in this paper.As a result,the random signal counting distributions of amplitude q（lV） and width p（lτ）,as well as the different signal subset counting distributions under given width εlτ（lV） and amplitude δlV（lτ）,all match well with the form of the lognormal distribution with a natural numberused as an independent variable.Besides,it is also found that there are internal relations between the counting distribution statistical characteristic parameters μlnV,μlnτ,σlnV,σlnτ and the corresponding signal characteristic parameters lV and lτ.In essence,these relations are the representations of random signal fractal characteristics.In a word,two characteristic parameter statistical distributions of the random signals each have a non-integral dimensional fractal feature.

关 键 词：分形 随机信号 双参数 统计 

分 类 号：TN911.7[电子电信—通信与信息系统] O415.5[电子电信—信息与通信工程]