On zero-rate error exponent for BSC with noisy feedback

Details On zero-rate error exponent for BSC with noisy feedback On zero-rate error exponent for BSC with noisy feedback

2008-08-15

arxiv.org/abs/0808.2092v1

Problems of Information Transmission, vol. 44, no. 3, pp. 33-49, 2008

Computer Science

Information Theory

23 Pages including 4 figures

Scientific paper

For the information transmission a binary symmetric channel is used. There is also another noisy binary symmetric channel (feedback channel), and the transmitter observes without delay all the outputs of the forward channel via that feedback channel. The transmission of a nonexponential number of messages (i.e. the transmission rate equals zero) is considered. The achievable decoding error exponent for such a combination of channels is investigated. It is shown that if the crossover probability of the feedback channel is less than a certain positive value, then the achievable error exponent is better than the similar error exponent of the no-feedback channel. The transmission method described and the corresponding lower bound for the error exponent can be strengthened, and also extended to the positive transmission rates.

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