We consider a noisy communication channel in which discrete messages are transmitted by redundant digital signals. It is shown that the probability of true hypotheses can be arbitrarily close to unity if optimal coding is used and the signal-to-noise ratio exceeds the threshold value. This allows us to obtain the Shannon theorem formulation in which the channel capacity and entropy notions are not used.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 54, No. 11, pp. 859–868, November 2011.
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Litvin, M.V. Information transmission and redundancy. Radiophys Quantum El 54, 773–781 (2012). https://doi.org/10.1007/s11141-012-9339-3
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DOI: https://doi.org/10.1007/s11141-012-9339-3