The Mathematical Theory of CommunicationScientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic. |
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approximation arbitrarily small average power band binary digits binary number bits per second calculated channel capacity chosen coding communication system communication theory conditional entropy consider constraints continuous coordinates corresponding defined definition discrete channel distribution duration encoding English ensemble of functions entropy H entropy power equal equivocation ergodic example fidelity finite number freedom of choice frequency of errors function p(x given Hence high probability Hy(x independent information source joint entropy letter frequencies letters limited log P(x log pi logarithm Markoff process mathematical maximizing maximum entropy meaning measure n-gram noise power noiseless number of possible number of symbols obtain output perturbed prob probability measure problem produced random rate of transmission received signal redundancy relative entropy samples semantic sequence Shannon situation space statistical structure stochastic process subset Suppose telegraphy Theorem tion transducer transmitted signal uncertainty Warren Weaver white noise white thermal noise words zero