Abstract
The goal of our rather technical excursion into the field of stationary processes was to formulate and prove Shannon’s theorem. This is done in this last chapter of Part III.
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References
Feinstein, A. (1954). A new basic theorem of information theory. IRE Transactions on Information Theory, 4, 2–22.
Feinstein, A. (1959). On the coding theorem and its converse for finite-memory channels. Information and Control, 2, 25–44.
Gray, R. M. (1990). Entropy and information theory. New York: Springer.
Kieffer, J. (1981). Block coding for weakly continuous channels. IEEE Transactions on Information Theory, 27(6), 721–727.
McMillan, B. (1953). The basic theorems of information theory. Annals of Mathematical Statistics, 24, 196–219.
Pfaffelhuber, E. (1971). Channels with asymptotically decreasing memory and anticipation. IEEE Transactions on Information Theory, 17(4), 379–385.
Shannon, C. E. (1948). A mathematical theory of communication. Bell Systems Technical Journal, 27, 379–423, 623–656.
Shannon, C. E. & Weaver, W. (1949). The mathematical theory of communication. Champaign: University of Illinois Press.
Wolfowitz, J. (1964). Coding theorems of information theory (2nd ed.). Springer-Verlag New York, Inc.: Secaucus.
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Palm, G. (2012). How to Transmit Information Reliably with Unreliable Elements (Shannon’s Theorem). In: Novelty, Information and Surprise. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29075-6_8
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DOI: https://doi.org/10.1007/978-3-642-29075-6_8
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