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Noiseless coding of correlated information sources
Abstract
Correlated information sequences\cdots ,X_{-1},X_0,X_1, \cdotsand\cdots,Y_{-1},Y_0,Y_1, \cdotsare generated by repeated independent drawings of a pair of discrete random variablesX, Yfrom a given bivariate distributionP_{XY} (x,y). We determine the minimum number of bits per characterR_XandR_Yneeded to encode these sequences so that they can be faithfully reproduced under a variety of assumptions regarding the encoders and decoders. The results, some of which are not at all obvious, are presented as an admissible rate region\mathcal{R}in theR_X - R_Yplane. They generalize a similar and well-known result for a single information sequence, namelyR_X \geq H (X)for faithful reproduction.
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Cited by
The Physics of Quantum Information
(2000) · doi:10.1007/978-3-662-04209-0 · Cited by 1,086
Computation Over Multiple-Access Channels
Nazer, B., & Gastpar, M. (2007) · IEEE Transactions on Information Theory · doi:10.1109/tit.2007.904785 · Cited by 753
In-network aggregation techniques for wireless sensor networks: a survey
Fasolo, E., Rossi, M., Widmer, J., & Zorzi, M. (2007) · IEEE Wireless Communications · doi:10.1109/mwc.2007.358967 · Cited by 734
Towards an information theory of large networks: an achievable rate region
Gupta, P., & Kumar, P. R. (2003) · IEEE Transactions on Information Theory · doi:10.1109/tit.2003.814480 · Cited by 435
(2006) · Springer eBooks · doi:10.1007/1-4020-4711-8 · Cited by 363
Metadata
- Authors
- Slepian, D., & Wolf, J.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1973-07
- Volume
- 19
- Issue
- 4
- Pages
- 471-480
- ISSN
- 0018-9448 (ISSN-L)
- 1557-9654
- OpenAlex
- W2099213070
- Cited by
- 3,952
- References
- 0
- FWCI
- 11.28
- Type
- journal article
- Language
- en
- Open access
- closed
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- Slepian, D., & Wolf, J. (1973). Noiseless coding of correlated information sources. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1973.1055037
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