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.
Yusuf Leblebici, Gain Kim, Kiarash Gharibdoust, Chen Cao
Michael Christoph Gastpar, Sung Hoon Lim, Jingge Zhu
Seyed Armin Tajalli, Yusuf Leblebici, Gain Kim, Kiarash Gharibdoust, Chen Cao