DocumentCode :
932426
Title :
Multiple access channels with arbitrarily correlated sources
Author :
Cover, Thomas M. ; Gamal, Abbas El ; Salehi, Masoud
Volume :
26
Issue :
6
fYear :
1980
fDate :
11/1/1980 12:00:00 AM
Firstpage :
648
Lastpage :
657
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 function p(u,v) and common part w=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 functions p(s), p(x_{1}|s,u),p(x_{2}|s,v) , such that H(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)< I(X_{1},X_{2};Y), mbox{where} p(s,u,v,x_{1},x_{2},y), Xl, X2, y)=p(s)p(u,v)p(x_{1}|u,s)p(x_{2}|v,s)p(y|x_{1},x_{2}). lifts region includes the multiple access channel region and the Slepian-Wolf data compression region as special cases.
Keywords :
Data compression; Multiple-access communications; Source coding; Data compression; Helium; Information theory; Random variables; Statistics; Time sharing computer systems;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1980.1056273
Filename :
1056273
Link To Document :
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