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The zero error capacity of a noisy channel
Abstract
The zero error capacityC_oof 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 ofC_oare studied; upper and lower bounds and methods of evaluation ofC_oare given. Inequalities are obtained for theC_orelating to the "sum" and "product" of two given channels. The analogous problem of zero error capacityC_oFfor 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 evaluatingC_oF.
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Citations
Cited by
A simple derivation of the coding theorem and some applications
Gallager, R. (1965) · IEEE Transactions on Information Theory · doi:10.1109/tit.1965.1053730 · Cited by 687
Channels with Side Information at the Transmitter
Shannon, C. E. (1958) · IBM Journal of Research and Development · doi:10.1147/rd.24.0289 · Cited by 657
Self-citationDeepJSCC-f: Deep Joint Source-Channel Coding of Images With Feedback
Kurka, D. B., & Gunduz, D. (2020) · IEEE Journal on Selected Areas in Information Theory · doi:10.1109/jsait.2020.2987203 · Cited by 470
Pardalos, P. M., & Xue, J. (1994) · Journal of Global Optimization · doi:10.1007/bf01098364 · Cited by 382
Quantum channels and memory effects
Caruso, F., Giovannetti, V., Lupo, C., & Mancini, S. (2012) · arXiv · doi:10.48550/arxiv.1207.5435 · Cited by 331
Metadata
- Authors
- Shannon, C.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1956-09
- Volume
- 2
- Issue
- 3
- Pages
- 8-19
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2164684058
- Cited by
- 1,468
- References
- 0
- FWCI
- 5.33
- Type
- journal article
- Language
- en
- Open access
- closed
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- Shannon, C. (1956). The zero error capacity of a noisy channel. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1956.1056798
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