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The AEP Property of Random Sequences and Applications to Information Theory: Part I Basic Principles

  • Jack Keil Wolf
Part of the International Centre for Mechanical Sciences book series (CISM, volume 219)

Abstract

Consider a biased coin with probability of heads p. If p does not equal 0 or 1, there is not much that one can say with certainty about a single toss of the coin. However, for a sequence of N independent tosses, if one chooses N large enough one can make statements about the composition of this sequence which will be true with probability as close to 1 as desired.

Keywords

Side Information Broadcast Channel Common Information Binary Digit Transmitted Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Shannon, C.E., “Two-way communication channels,” Proc. of Fourth Berkeley Symposium on Mathematical Statistics and Probability vol. 1, 611, 1961.MathSciNetGoogle Scholar
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    Wolf, J.K., “Multiple-user communications,” National Telecommunications Conference Atlanta, Georgia, 1973.Google Scholar
  3. 3.
    Wyner, A.D., “Recent results in the Shannon theory,” IEEE Transactions on Information Theory vol. IT-20, 2, January 1974.Google Scholar
  4. 4.
    Slepian, D. and Wolf, J.K., “Noiseless coding of correlated information sources,” IEEE Transactions on Information Theory vol. IT-19, 471, July 1973.Google Scholar
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    Cover, T.M., and Wolf for Theory vol. “A proof of the data compression theorem of Slepian ergodic sources,” IEEE Transactions on Information IT-21, 226, March 1975.Google Scholar
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    Wyner, A.D., “The common information of two dependent random variables,” IEEE Transactions on Information Theory vol. IT-21, 163Google Scholar
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    Gray, R.M. and Wyner, A.D., “Source coding for a simple network, ” Bell System Technical Journal vol. 58, 1681, November 1974.CrossRefMathSciNetGoogle Scholar
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    Cover, T.M., “An achievable rate region for the broadcast channel,” IEEE Transactions on Information Theory vol. IT-21, 399, July 1975.Google Scholar

Copyright information

© Springer-Verlag Wien 1975

Authors and Affiliations

  • Jack Keil Wolf
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of MassachusettsAmherstUSA

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