The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A simple derivation of the coding theorem and some applications
Abstract
Upper bounds are derived on the probability of error that can be achieved by using block codes on general time-discrete memoryless channels. Both amplitude-discrete and amplitude-continuous channels are treated, both with and without input constraints. The major advantages of the present approach are the simplicity of the derivations and the relative simplicity of the results; on the other hand, the exponential behavior of the bounds with block length is the best known for all transmission rates between0and capacity. The results are applied to a number of special channels, including the binary symmetric channel and the additive Gaussian noise channel.
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Citations
Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
Metadata
- Authors
- Gallager, R.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1965-01
- Volume
- 11
- Issue
- 1
- Pages
- 3-18
- ISSN
- 0018-9448 (ISSN-L)
- 1557-9654
- OpenAlex
- W1993944611
- Cited by
- 687
- References
- 1
- FWCI
- 65.60
- Type
- journal article
- Language
- en
- Open access
- closed
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- Gallager, R. (1965). A simple derivation of the coding theorem and some applications. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1965.1053730
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