Application of semi-definite relaxation to multiuser detection in a CDMA context

Many signal processing applications boil down to solve combinatorial optimization problems. Recently, Semi-Definite Relaxation (SDR) has been shown to be a very promising approach to combinatorial optimization, where SDR serves as tractable convex relaxation of NP hard problems. In this paper, we present an efficient algorithm for solving SDR with a low complexity. The main focus of this paper is on non-linear programming algorithms based on a change of variables that replaces the symmetrical, positive Semi-Definite variable X in SDR with a rectangular variable V according to . Some recent results on the rank of extreme correlation matrices permit to derive a low-complexity algorithm with almost no performance loss. Very encouraging results are obtained to solve large scale combinatorial optimization programs, as the one arising in multi-user detection for CDMA systems. V V X T =