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Tight Bounds on the Capacity of Binary Input random CDMA Systems

Authors
  • Korada, Satish Babu
  • Macris, Nicolas
Type
Preprint
Publication Date
Mar 10, 2008
Submission Date
Mar 10, 2008
Identifiers
arXiv ID: 0803.1454
Source
arXiv
License
Yellow
External links

Abstract

We consider multiple access communication on a binary input additive white Gaussian noise channel using randomly spread code division. For a general class of symmetric distributions for spreading coefficients, in the limit of a large number of users, we prove an upper bound on the capacity, which matches a formula that Tanaka obtained by using the replica method. We also show concentration of various relevant quantities including mutual information, capacity and free energy. The mathematical methods are quite general and allow us to discuss extensions to other multiuser scenarios.

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