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A general formula for channel capacity

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2 Author(s)
Verdú, S. ; Dept. of Electr. Eng., Princeton Univ., NJ, USA ; Te Han

A formula for the capacity of arbitrary single-user channels without feedback (not necessarily information stable, stationary, etc.) is proved. Capacity is shown to equal the supremum, over all input processes, of the input-output inf-information rate defined as the liminf in probability of the normalized information density. The key to this result is a new converse approach based on a simple new lower bound on the error probability of m-ary hypothesis tests among equiprobable hypotheses. A necessary and sufficient condition for the validity of the strong converse is given, as well as general expressions for ε-capacity

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Information Theory, IEEE Transactions on  (Volume:40 ,  Issue: 4 )