随机信号与其导数和的广义平稳性  

Wide-Sense Stationariness of Sum of Random Signals and Its Dreivative

作　　者：党楠[1] 

机构地区：[1]商洛学院物理系,陕西商洛726000

出　　处：《商洛学院学报》2007年第4期35-36,95,共3页Journal of Shangluo University

摘　　要：目的为了考虑随机信号与{X(k)(t)±X(l)(t),t∈T,0≤k,l≤n,k≠l}的广义平稳性.方法利用了广义平稳随机信号和联合广义平稳性的定义及数学归纳的方法.结果讨论了广义随机信号与{X(k)(t)±X(l)(t),t∈T,0≤k,l≤n,k≠l}的广义平稳性,得到了两个重要结论,并给出了证明.结论证明了广义平稳随机信号与其任意阶导数代数和的广义平稳性及广义平稳随机信号两个不同阶导数代数和的广义平稳性。Aim In order to consider wide-sense stationaries of random signals and its{X^（k）（t ）±X（1）（t）,t∈T,0≤k,l ≤n,k≠l}.Method This thesis uses the definition of wide-sense stationary random signals and joinly wide-sense stationariness and the method of mathematics induction.Result After discusion widesense stationaries of random signals and its {X^（k）（t）±X（1）（t）,t∈T,0≤k,l≤n,k≠l} this paper gets two important conclusions and proves them.Conclusion This thesis proves that it is a conclusion that algebraic sum of two wide-sense stationary random signals and its arbitrary order derivative is wide-sense stationary and that it is a conclusion that algebraic sum of different order derivative wide-sense stationary of widesense stationary random signals is wide-sense stationary.

关 键 词：随机信号 广义平稳随机信号 相关函数 互相关函数 联合广义平稳性 

分 类 号：O411.1[理学—理论物理]