内-递推信息的辨识-还原  

Identification and recovery of inward-recursion information

作　　者：李豫颖[1,2] 阮群生[1] 张世良[1] 杨慧玲[1] 毛雁明[1] 

机构地区：[1]宁德师范学院计算机与信息工程系,福建宁德352100 [2]山东大学数学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2011年第6期121-126,共6页Journal of Shandong University(Natural Science)

基　　金：福建省自然科学基金资助项目(2009J01294);宁德师范学院科研基金资助重点项目(2008J002)

摘　　要：信息传输过程中,存在信息元不断被丢失,生成具有递推特性的信息。应用具有动态特性的新数学工具P-集合,提出内-递推信息的概念,给出内-递推信息的结构、序定理、损失信息归并定理、辨识定理与还原定理。通过定义内-递推信息模与内-递推信息辨识度,得到内-递推信息的数值辨识与还原方法,给出内-递推信息的辨识准则,以及辨识与还原的应用。Information which has a recursive characteristic in the process of transmission is generated because its information elements are continuously lost.By using P-sets which is a new mathematic tool and has dynamic characteristics,the concept of inward-recursion information is proposed,and the structure of inward-recursion is given.Theorems are obtained such as the sequence theorem of inward-recursion information,the merging theorem of loss information,identification and recovery theorems of inward-recursion information.By defining the modulus and the identification measure on inward-recursion information,the numerical value methods of identification and recovery are obtained.Also,the identification criterion of inward-recursion information is given.Finally,the application of identification and recovery is presented.

关 键 词：P-集合 内-递推信息 内-递推信息模 内-递推信息辨识度 辨识准则 辨识-还原 

分 类 号：O144[理学—数学] TP391[理学—基础数学]