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Multiple access channels with arbitrarily correlated sources
Abstract
Let\{(U_{i},V_{i})\}_{i=1}^{n}be a source of independent identically distributed (i.i.d.) discrete random variables with joint probability mass functionp(u,v)and common partw=f(u)=g(v)in the sense of Witsenhausen, Gacs, and Körner. It is shown that such a source can be sent with arbitrarily small probability of error over a multiple access channel (MAC)\{\cal X_{1} \times \cal X_{2},\cal Y,p(y|x_{1},x_{2})\},with allowed codes\{x_{l}(u), x_{2}(v)\}if there exist probability mass functionsp(s), p(x_{1}|s,u),p(x_{2}|s,v), such thatH(U|V)<I(X_{1}; Y|X_{2},V,S),H(V|U )<I(X_{2};Y|X_{1},U,S),H(U,V|W)<I(X_{1},X_{2};Y|W,S),H(U,V)
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Citations
Cited by
Computation Over Multiple-Access Channels
Nazer, B., & Gastpar, M. (2007) · IEEE Transactions on Information Theory · doi:10.1109/tit.2007.904785 · Cited by 753
On Capacity Under Receive and Spatial Spectrum-Sharing Constraints
Gastpar, M. (2007) · IEEE Transactions on Information Theory · doi:10.1109/tit.2006.889016 · Cited by 438
(2006) · Springer eBooks · doi:10.1007/1-4020-4711-8 · Cited by 363
Metadata
- Authors
- Cover, T., Gamal, A. E., & Salehi, M.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1980-11
- Volume
- 26
- Issue
- 6
- Pages
- 648-657
- ISSN
- 0018-9448 (ISSN-L)
- 1557-9654
- OpenAlex
- W2144970857
- Cited by
- 400
- References
- 0
- FWCI
- 1.79
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cover, T., Gamal, A. E., & Salehi, M. (1980). Multiple access channels with arbitrarily correlated sources. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1980.1056273
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