Abstract:
Coincident lower and upper bounds for the exponent of the probability of incorrect decoding for optimum transmission of information along a semicontinuous memoryless channel at rates close to the channel capacity are constructed. The bounds coincide in the case of a discrete channel with the Fano [R. M. Fano, Transmission of Information, New York, M.I.T. Press, 1961] bounds, but have a new analytic form.