基于传导变换的自相关函数和互相关函数的拓展研究  

A Research on the Auto-correlation and Cross-correlation Function Based on Conductive Transformation

作　　者：史纪磊 朱树海[1] 陆华晶[1] 李日华[2] Shi Ji-lei;Zhu Shu-hai;Lu Hua-jing;Li Ri-hua(Academic College, Ningbo Dahongying University, Ningbo 315327, China;Institute of Systems Science and Mathematics,Naval Aeronautical and Astronautical University, Yantai 264001, China)

机构地区：[1]宁波大红鹰学院基础学院,浙江宁波315327 [2]海军航空工程学院系统科学与数学研究所,山东烟台264001

出　　处：《广东工业大学学报》2017年第1期11-14,39,共5页Journal of Guangdong University of Technology

基　　金：浙江省教育厅科研项目(Y201636737)

摘　　要：利用随机过程的可拓模型,讨论了当过程元的某一个或多个特征的量值改变时,使得该过程中的其他特征的量值发生传导变换,给出了自传导过程元的传导自相关函数和传导互相关函数的概念.利用可拓推理、可拓变换及其传导性,对同一过程的自相关函数和两个过程的单过程变换的互相关函数的拓展性进行了初步研究.Using the extension model of stochastic process in which the values of one or more characters in oneprocess element are changed,conductive transformation caused by the change in other characters'values in theprocess element is discussed.The conductive Auto-correlation function and conductive Cross-correlation functionare defined.Extensive reasoning rules,extensive transformation and conductive effect of extensive transformationare used to study the expansion of the Auto-correlation function in the same process and the Cross-correlationfunction in the two processes.

关 键 词：过程元集 传导变换 传导过程元集 传导自相关函数 传导互相关函数 

分 类 号：N94[自然科学总论—系统科学] O211.6[理学—概率论与数理统计]