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The zero error capacity of a noisy channel

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1 Author(s)

The zero error capacity C_o of a noisy channel is defined as the least upper bound of rates at which it is possible to transmit information with zero probability of error. Various properties of C_o are studied; upper and lower bounds and methods of evaluation of C_o are given. Inequalities are obtained for the C_o relating to the "sum" and "product" of two given channels. The analogous problem of zero error capacity C_oF for a channel with a feedback link is considered. It is shown that while the ordinary capacity of a memoryless channel with feedback is equal to that of the same channel without feedback, the zero error capacity may be greater. A solution is given to the problem of evaluating C_oF .

Published in:

IRE Transactions on Information Theory  (Volume:2 ,  Issue: 3 )