首页|期刊导航|哈尔滨工业大学学报（英文版）|The matrix representation for the mathematic structure of Shannon's information measures
哈尔滨工业大学学报（英文版）2007，Vol.14Issue(2)：232-235,4.
The matrix representation for the mathematic structure of Shannon's information measures
The matrix representation for the mathematic structure of Shannon's information measures
摘要
Abstract
Shannon's information measure is a crucial concept in Information Theory. And the research, for the mathematics structure of Shannon's information measure, is to recognize the essence of information measure.The linear relation between Shannon's information measures and some signed measure space by using the formal symbols substitution rule is discussed. Furthermore, the coefficient matrix recurrent formula of the linear relation is obtained. Then the coefficient matrix is proved to be invertible via mathematical induction. This shows that the linear relation is one-to-one, and according to this, it can be concluded that a compact space can be generated from Shannon's information measures.关键词
entropy/Shannon's information measures/signed measure/the recurrent formula of I-measure matrixKey words
entropy/Shannon's information measures/signed measure/the recurrent formula of I-measure matrix分类
数理科学引用本文复制引用
YUAN Yan-hua..The matrix representation for the mathematic structure of Shannon's information measures[J].哈尔滨工业大学学报（英文版）,2007,14(2):232-235,4.基金项目
Sponsored by the Science and Technology Research Project of Education Department, Heilongjiang Province ( Grant No. 11513095 ), and the Science and Technology Foundation of Heilongjiang Institute of Science and Technology( Grant No.04-25 ). （ Grant No. 11513095 ）
