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We consider multiuser communication on a binary input additive white Gaussian noise channel using Randomly Spread-Code Division Multiple Access. We show concentration of various quantities of the system including the capacity and the free energy. We also obtain a tight upper bound on the capacity of this system in the large user limit which matches with the replica solution. The method is quite general and can be extended to many other multiuser scenarios.
Romain Christophe Rémy Fleury, Farzad Zangeneh Nejad
Romain Christophe Rémy Fleury, Ali Momeni
Andreas Peter Burg, Joachim Tobias Tapparel