RANDOM MATRIX METHODS FOR DESIGN OF MULTIUSER COMMUNICATION SYSTEMS∗

2436A short review on multiuser communication systems is given. System design for iterative multiuser decoding is improved by means of large sys-tem result from statistical physics and random matrix theory. With the application of multiuser detection for wireless communications in mind, it is shown how a system of linear equations with random coefficients can be solved efficiently exploiting the asymptotic convergence of its eigenvalue spectrum. In addition, the conditional convergence of the diagonal elements of a power of a random matrix drawn from a Matchenko–Pastur ensemble is established. PACS numbers: 1