In this paper, a detection strategy based on a semidefinite relaxation of t
he CDMA maximum-likelihood (ML) problem is investigated. Cutting planes are
introduced to strengthen the approximation. The semidefinite program arisi
ng from the relaxation can be solved efficiently using interior point metho
ds. These interior point methods have polynomial computational complexity i
n the number of users. The simulated bit error rate performance demonstrate
s that this approach provides a good approximation to the ML performance.