The Information Entropy Theory of Information Fusion

An information fusion entropy theory is presented in this paper.Two kinds of infor-mation sources in information fusion(IF) are analysed,and the information entropy in IF is defined.Based on the concept of information entropy,the convertion and the transition of the entropy in IF process are discussed and two information entropy theorems are presented.The theorems reveal the inherent relationship among multi-source information extraction,the efficiency and the performance limitation of IF.Moreover the theorems are applied to make a concrete analysis of the IF for state estimation and signal detection.