Information theory is a branch of the mathematical theory of probability and mathematical statistics, that deals with communication systems, data transmission, cryptography, signal to noise ratios, etc. |
Information theory is a branch of the mathematical theory of probability and mathematical statistics, that deals with communication systems, data transmission, cryptography, signal to noise ratios, data compression, etc. |
Claude E. Shannon (born 1916) has been called "the father of information theory". His theory "considered the transmission of information as a statistical phenomenon" and gave communications engineers a way to determine the capacity of a communication channel. His theory is not "concerned with the content of information or the message itself". |
Claude E. Shannon (1916-2001) has been called "the father of information theory". His theory "considered the transmission of information as a statistical phenomenon" and gave communications engineers a way to determine the capacity of a communication channel in terms of the common currency of bits. The transmission part of the theory is not "concerned with the content of information or the message itself," though the complementary wing of information theory concerns itself with content through lossy compression of messages subject to a fidelity criterion. These two wings of information theory are joined together and mutually justified by the information transmission theorems, or source-channel separation theorems that justify the use of bits as the universal currency for information in many contexts. |
where H(X,Y) is the join entropy or |
where H(X,Y) is the joint entropy or |
Here is Claude E. Shannon's original paper, http://galaxy.ucsd.edu/new/external/shannon.pdf |
Claude E. Shannon's original paper is available at http://galaxy.ucsd.edu/new/external/shannon.pdf |