The Mathematical Theory of Communication, Volume 1Scientific 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 corresponding defined definition digram dimensional discrete channel distribution duration dx dy encoding English ensemble of functions entropy power equal equivocation ergodic example fidelity frequency of errors function p(x given graph H₁ H₁(x H₂(y Hence high probability independent information source joint entropy letter frequencies letters limited log p(x logarithm Markoff process mathematical maximizing maximum entropy meaning measure n-gram N₁ noise power noiseless number of possible obtain output p₁ perturbed prob probability measure problem produced R₁ random rate of transmission received signal redundancy relative entropy samples semantic Shannon situation space statistical structure stochastic process subset Suppose telegraphy Theorem thermal noise tion trans transducer transition probabilities transmitted signal uncertainty white noise words zero