An Information-Theoretic Analysis to Evaluate Joint Time & Space Splitting in Random Access Algorithms

  • Kamran Sayrafian-Pour
  • Anthony Ephremides

Abstract

It is known that the average length of a CRP, i.e. Collision Resolution Period, in a random access algorithm is proportional to the mutual information between the packet’s arrival time and the set of all partitions of those arrival times that result in a resolution. Considering an ideal adaptive antenna, we can generalize this result for a two dimensional splitting algorithm in which resolutions of conflict are performed jointly in time and space. As a by-product of this result, the effectiveness of a multi-dimensional splitting algorithm is understood from an information theoretic view point.

Keywords

Mutual Information Random Tree Packet Arrival Splitting Algorithm Multiple Access Channel 
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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    James L. Massey, “An Information Theoretic Approach to Algorithms,” Proc. NATO Workshop on “The Impact of Processing Techniques on Communications”, pp. 3–22, July 1993.Google Scholar
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    Urs Loher, “The Role of Information in Random Accessing,” ISIT97, Ulm, Germany.Google Scholar
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    Nicholas Pippenger, Bounds on the performance of Protocols for a Multiple-Access Broadcast Channel,IEEE Trans. on Information Theory, VOL. IT-27, NO. 2, March 1981.Google Scholar
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    K. Sayrafian-Pour, A. Ephremides, Can Spatial Separation Increase Throughput of Conflict Resolution Algorithm, July 1997 IEEE International Symposium on Information Theory, Ulm, Germany.Google Scholar
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    Thomas M. Cover, Joy A. Thomas, “Elements of Information Theory,” John Wiley, 1991.Google Scholar

Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Kamran Sayrafian-Pour
    • 1
  • Anthony Ephremides
    • 1
  1. 1.Electrical and Computer Engineering Department and Institute for Systems ResearchUniversity of MarylandCollege ParkUSA

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