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Channel Entropy and Primitive Approximation
David L. Neuhoff and Paul C. Shields
The Annals of Probability
Vol. 10, No. 1 (Feb., 1982), pp. 188-198
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/2243780
Page Count: 11
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For stationary channels, channel entropy is defined as the supremum of the conditional output entropy over all stationary input sources. If the channel is d̄-continuous and conditionally almost block independent, channel entropy gives an upper bound to the output rate of the channel. Furthermore, the channel can be approximated arbitrarily well in the d̄-metric by any primitive channel whose noise source entropy exceeds channel entropy and cannot be so approximated if the noise source entropy is less than channel entropy.
The Annals of Probability © 1982 Institute of Mathematical Statistics