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On channel capacity per unit cost

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

Memoryless communication channels with arbitrary alphabets where each input symbol is assigned a cost are considered. The maximum number of bits that can be transmitted reliably through the channel per unit cost is studied. It is shown that, if the input alphabet contains a zero-cost symbol, then the capacity per unit cost admits a simple expression as the maximum normalized divergence between two conditional output distributions. The direct part of this coding theorem admits a constructive proof via Stein's lemma on the asymptotic error probability of binary hypothesis tests. Single-user, multiple-access, and interference channels are studied

Published in:

Information Theory, IEEE Transactions on  (Volume:36 ,  Issue: 5 )